SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                 SCHEDULE 13G/A
                               (Amendment No. 6)

             INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT
           TO RULES 13D-1(B), (C) AND (D) AND AMENDMENTS THERETO FILED
                            PURSUANT TO RULE 13D-2(B)



                            AMERADA HESS CORPORATION
                           --------------------------
                                (Name of Issuer)


                                  Common Stock
                          ----------------------------
                         (Title of Class of Securities)


                                   023551 10 4
                               ------------------
                                 (CUSIP Number)


                               December 31, 2004
                           -------------------------
             (Date of Event Which Requires Filing of this Statement)




        Check the appropriate box to designate the rule pursuant to which
                            this Schedule is filed:

                                  Rule 13d-1 (b)
                                X Rule 13d-1 (c)
                                  Rule 13d-1 (d)







                                                 PAGE   1      OF   5      PAGES
                                                      --------    --------
                      

                              CUSIP NO. 023551 10 4


 

------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

             Nicholas F. Brady
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------

                         5.    SOLE VOTING POWER          51,110 shares
   NUMBER OF SHARES
BENEFICIALLY OWNED BY
EACH REPORTING PERSON
         WITH                  See Note 7
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER        11,627 shares 

                               See Note 9
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE DISPOSITIVE POWER     51,110 shares

                               See Note 7
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER   5,398,295 shares

                               See Notes 1 and 9.
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             5,449,405 shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                                 |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

             5.92%
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------







                                            
                                                PAGE    2     OF     5     PAGES
                                                     --------    ---------
                           

                              CUSIP NO. 023551 10 4




------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

              John B. Hess
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------
                         5.    SOLE VOTING POWER  13,246,743 shares
   NUMBER OF SHARES
BENEFICIALLY OWNED BY          See Note 1,  Note 2, Note 3 and Note 4.
EACH REPORTING PERSON
         WITH
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER     none

                               
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE  DISPOSITIVE POWER  1,539,862 shares

                               See Note 2 and Note 4.
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER  11,524,245 shares

                               See Note 1, Note 2, Note 3 and Note 8.
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             13,254,107 shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                       |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

             14.24%
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------







                                                 PAGE   3      OF    5     PAGES
                                                            --------    --------
                      

                              CUSIP NO. 023551 10 4



------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

             Thomas H. Kean
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------

                         5.    SOLE VOTING POWER          4,600 shares
   NUMBER OF SHARES
BENEFICIALLY OWNED BY
EACH REPORTING PERSON
         WITH
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER                 none
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE  DISPOSITIVE POWER    4,600 shares
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER    5,386,668 shares

                               See Note 1.
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             5,391,268 shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                       |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

               
              5.85%
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------







--------------------------------------------------------------------------------

--------------------------------------------------------------------------------


                                              PAGE   4       OF     5      PAGES
                                                  ---------    ----------
                            

                              CUSIP NO. 023551 10 4



------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

              Burton T.  Lefkowitz
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------

                         5.    SOLE VOTING POWER     none
   NUMBER OF SHARES
BENEFICIALLY OWNED BY
EACH REPORTING PERSON
         WITH
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER             none

----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE  DISPOSITIVE POWER    none
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER    5,386,668 shares

                               See Note 1. 
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             5,386,668  shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                       |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

             5.85%  
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------





--------------------------------------------------------------------------------

--------------------------------------------------------------------------------


                                                 PAGE   5      OF    5     PAGES
                                                            --------    --------
                            

                              CUSIP NO. 023551 10 4



------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

              John Y. Schreyer
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------

                         5.    SOLE VOTING POWER             363,226 shares
   NUMBER OF SHARES
BENEFICIALLY OWNED BY          See Note 5.   
EACH REPORTING PERSON
         WITH
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER            50,426 shares

                               See Note 6.
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE  DISPOSITIVE POWER       363,226 shares

                               See Note 5.
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER    7,664,138 shares

                               See Note 1, Note 3, Note 6 and Note 10.
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                 8,027,364 shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                       |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
             
             8.69%            
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------








                                  Notes to 13G

Note 1.       This amount includes 4,265,136 shares held by a charitable
              lead annuity trust established under the will of Leon Hess and
              747,807 shares directly held by an inter vivos trust for the
              benefit of Mr. John B. Hess' mother.  The inter vivos trust also
              holds an additional 373,725 shares currently issuable upon
              conversion of 450,000 shares of issuer's mandatory convertible
              preferred stock held by this trust. Mr. John B. Hess has sole
              voting power over the stock held by these trusts and shares
              dispositive power over such stock with the other filing persons,
              who are the other trustees of these trusts, except for shares
              issuable upon conversion of the preferred shares referred to
              above, as to which Mr. Hess and the other trustees have such
              powers only upon conversion. 

Note 2.       This amount includes 105,874 shares held by a trust for 
              the benefit of Mr. Hess' mother of which Mr. Hess is trustee.
              Mr. Hess has sole voting and dispositive power over the shares of
              Issuer held by this trust. This amount also includes 2,449,594 
              shares held by two trusts for the benefit of Mr. Hess' mother, as
              to which he has sole voting power. This amount also includes an
              aggregate of 790,626 shares held by Mr. Hess' siblings or by 
              five trusts for the benefit of Mr. Hess' siblings, as to which 
              Mr. Hess has sole voting power and shares dispositive power 
              pursuant to a shareholders agreement among, inter alia, Mr. Hess
              and his siblings. This figure also includes 57,221 shares owned
              directly by Mr. Hess as to which he has sole voting and
              dispositive power; an aggregate of 732,557 shares held by seven
              trusts for the benefit of Mr. Hess and his heirs, of which Mr.
              Hess is trustee or co-trustee and as to which he has sole voting
              power, and as to 366,134 shares of which he has sole dispositive
              power and as to  366,423 shares of which he shares dispositive
              power; 81,417 shares held by a trust for the benefit of Mr. Hess
              and his  siblings, of which he is a co-trustee and has sole
              voting power; 303,890 shares held by a trust of which Mr. Hess'
              spouse is trustee but as to which he has sole voting power and
              shares dispositive power pursuant to a shareholders agreement
              between, inter alia, Mr. Hess and his spouse, as trustee; 190,000
              shares of restricted stock held in escrow under the Issuer's
              incentive compensation plan as to which Mr. Hess has voting but
              not dispositive power; 954,000 shares underlying options to
              purchase common stock of the Issuer, as to which he has sole
              voting and dispositive power only upon exercise of such options;
              and 41,525 shares currently issuable upon conversion of 50,000
              shares of issuer's mandatory convertible preferred stock held by
              Mr. Hess, as to which he has sole voting and dispositive power
              only upon conversion of such preferred shares. 

Note 3.       This amount includes 2,145,627 shares held by the
              Hess Foundation, Inc. of which Messrs. Hess and Schreyer are
              directors and as to which  Mr. Hess has sole voting power and
              shares dispositive power with, inter alia, Mr. Schreyer.   

Note 4.       Represents 15,108 shares vested in the name of John B. Hess under
              Issuer's Employees' Savings and Stock Bonus Plan. Mr. Hess has
              sole dispositive power with respect to all these shares and
              sole voting power with respect to 7,744 of such shares.

Note 5.       This amount includes 84,064 shares owned directly by Mr. Schreyer
              as to which he has voting and dispositive power; 277,500 shares
              underlying options to purchase Common Stock of Issuer, as to which
              he has sole voting and dispositive power only upon exercise of
              such options; and 1,662 shares currently issuable upon conversion
              of 2,000 shares of issuer's mandatory convertible preferred stock
              held by Mr. Schreyer, as to which Mr. Schreyer has sole voting and
              dispositive power only upon conversion of such preferred shares.

Note 6.       This amount includes 50,426 shares held by four trusts as to
              which Mr. Schreyer has shared voting and dispositive power. 

Note 7.       This amount includes 32,500 shares held directly by Mr. Brady as
              to which he has sole voting and dispositive power; 2,000 shares
              held by a limited liability company of which Mr. Brady is the
              managing member and as to which he has sole voting and dispositive
              power; and 16,610 shares currently issuable upon conversion of
              issuer's mandatory convertible preferred stock held by Mr. Brady,
              as to which he has sole voting and dispositive power only upon
              conversion of such preferred shares.

Note 8.       This amount includes 2,531,011 shares held by three trusts for the
              benefit of Mr. Hess' mother and/or her children. Mr. Hess is a
              co-trustee of these trusts and shares dispositive power
              with respect to these shares.                                     

Note 9.       This amount includes 8,305 shares currently issuable upon
              conversion of 10,000 shares of issuer's mandatory convertible
              preferred stock held by a charitable foundation, and 3,322 shares
              issuable upon conversion of 4,000 shares of such preferred stock
              held by two trusts of which Mr. Brady is a co-trustee, in each
              case as to which Mr. Brady shares voting and dispositive power
              only upon conversion of such preferred shares.

Note 10.      This amount includes 81,417 shares held by a trust
              of which Mr. Schreyer is a co-trustee and as to
              which he shares dispositive power.










Item 1(a).    Name of Issuer:

              Amerada Hess Corporation

Item 1(b).    Address of Issuer's Principal Executive Offices:

              1185 Avenue of the Americas
              New York, NY 10036

Item 2(a).    Name of Person Filing:

              See respective cover pages.

Item 2(b).    Address of Principal Business Office or, if None, Residence:

              Nicholas F. Brady
              Choptank Partners
              16 North Washington Street
              Easton, MD 21601

              John B. Hess
              Amerada Hess Corporation
              1185 Avenue of the Americas
              New York, NY 10036

              Thomas H. Kean
              Drew University
              President's House
              36 Madison Avenue, Mead Hall
              Madison, NJ 07940-4005

              Burton T. Lefkowitz
              228 Delhi Road
              Scarsdale, New York 10583


              John Y. Schreyer
              Amerada Hess Corporation
              1185 Avenue of the Americas
              New York, NY 10036




Item 2(c).    Citizenship:

              United States of America

Item 2(d).    Title of Class of Securities:

              Common Stock

Item 2(e).    CUSIP Number:

              023551 10 4


Item 3.       If This Statement is Filed Pursuant to Rule 13d-1(b), or 13d-2(b)
              or (c), Check Whether the Person Filing is:

              (a)    A broker or dealer registered under Section 15 of the
                     Exchange Act.

              (b)    A bank as defined in Section 3(a)(6) of the Exchange Act.

              (c)    An insurance company as defined in Section 3(a)(19) of
                     the Exchange Act.

              (d)    An investment company registered under Section 8 of the
                     Investment Company Act.

              (e)    An investment adviser in accordance with Rule
                     13d-1(b)(1)(ii)(E).

              (f)    An employee benefit plan or endowment fund in accordance
                     with Rule 13d-1(b)(1)(ii)(F).

              (g)    A parent holding company or control person, in accordance
                     with Rule 13d-1(b)(ii)(G).

              (h)    A savings association as defined in Section 3(b) of the
                     Federal Deposit Insurance Act.

              (i)    A church plan that is excluded from the definition of an
                     investment company under Section 3(c)(14) of the 
                     Investment Company Act.

              (j)    A group, in accordance with Rule 13d-1(b)(ii)(J).

              If this statement is filed pursuant to Rule 13d-1(c), check 
              this box.                                                      |X|







Item 4.       Ownership.


              Provide the following information regarding the aggregate number
and percentage of the class of securities of the issuer identified in Item 1.

       (a)    Amount beneficially owned:

            See respective cover pages.
            ---------------------------

       (b)    Percent of class:

            See respective cover pages.
            ---------------------------

       (c)    Number of shares as to which such person has:

            See respective cover pages.
            ---------------------------

       (i)    Sole power to vote or to direct the vote 

            See respective cover pages.
            ---------------------------

       (ii)   Shared power to vote or to direct the vote 

            See respective cover pages.
            ---------------------------

       (iii)  Sole power to dispose or to direct the disposition of

            See respective cover pages.
            ---------------------------

       (iv)   Shared power to dispose or to direct the disposition of

            See respective cover pages.
            ---------------------------

Item 5.         Ownership of Five Percent or Less of a Class.
              Not applicable

Item 6.         Ownership of More than Five Percent on Behalf of Another Person.
              As indicated in the Notes above, some of the shares owned are held
for the account of other persons who have the right to receive dividends and the
proceeds of the sale of such shares. Such shares held by the estate of Leon Hess
or by trusts established under the will of Leon Hess represent more than five
percent of the outstanding class.

Item 7.         Identification and Classification of the Subsidiary Which 
              Acquired the Security Being Reported on by the Parent Holding 
              Company.
              Not applicable

Item 8.         Identification and Classification of Members of the Group.
              Not applicable

Item 9.         Notice of Dissolution of Group.
              Not applicable






Item 10. Certification.

              By signing below I certify that, to the best of my knowledge and
belief, the securities referred to above were not acquired and are not held for
the purpose of or with the effect of changing or influencing the control of the
issuer of the securities and were not acquired and are not held in connection
with or as a participant in any transaction having that purpose or effect.






                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.


                                    February 11, 2005
                                ----------------------
                                         (Date)

                                /s/Nicholas F. Brady
                                ----------------------
                                   Nicholas F. Brady







                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.



                                    February 11, 2005
                                ---------------------- 
                                         (Date)

                                  /s/ John B. Hess
                                ----------------------
                                      John B. Hess








                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.




                                    February 11, 2005
                                ---------------------- 
                                         (Date) 

                                 /s/ Thomas H. Kean
                                ----------------------
                                     Thomas H. Kean







                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.



                                    February 11, 2005
                               ------------------------- 
                                         (Date)

                               /s/ Burton T. Lefkowitz
                               -------------------------
                                   Burton T. Lefkowitz








                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.





                                    February 11, 2005
                                ---------------------- 
                                         (Date)

                                /s/ John Y. Schreyer 
                                ----------------------
                                    John Y. Schreyer