UNITED STATES
                     SECURITIES AND EXCHANGE COMMISSION
                           Washington, D.C. 20549

                                SCHEDULE 13G

                 UNDER THE SECURITIES EXCHANGE ACT OF 1934

                            (AMENDMENT NO. 3)(1)

                      UNITED STATES STEEL CORPORATION
------------------------------------------------------------------------------
                              (Name of Issuer)

                                COMMON STOCK
------------------------------------------------------------------------------
                       (Title of Class of Securities)

                                 912909108
          -------------------------------------------------------
                               (CUSIP Number)

                             DECEMBER 31, 2005
          -------------------------------------------------------
          (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)

(1)The remainder of this cover page shall be filled out for a reporting
person's initial filing on this form with respect to the subject class of
securities, and for any subsequent amendment containing information which
would alter the disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities
Exchange Act of 1934, as amended (the "Act") or otherwise subject to the
liabilities of that section of the Act but shall be subject to all other
provisions of the Act (however, see the Notes).



                                SCHEDULE 13G

--------------------------                        ----------------------------
CUSIP NO.   912909108                              PAGE   2  OF  11  PAGES
--------------------------                        ----------------------------

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     1     NAMES OF REPORTING PERSONS
           I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY)
               APPALOOSA INVESTMENT LIMITED PARTNERSHIP I

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     2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
           (SEE INSTRUCTIONS)                                       (a)   |_|
                                                                    (b)   |_|

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     3     SEC USE ONLY

------------------------------------------------------------------------------
     4     CITIZENSHIP OR PLACE OF ORGANIZATION
               DELAWARE

------------------------------------------------------------------------------
                      5    SOLE VOTING POWER
      NUMBER OF
                               -0-
        SHARES
                     ---------------------------------------------------------
                      6    SHARED VOTING POWER
     BENEFICIALLY
                               243,200
       OWNED BY
                     ---------------------------------------------------------
         EACH         7    SOLE DISPOSITIVE POWER
      REPORTING
                               -0-
        PERSON
                     ---------------------------------------------------------
                      8    SHARED DISPOSITIVE POWER
         WITH
                               243,200
------------------------------------------------------------------------------
     9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
               243,200

------------------------------------------------------------------------------
     10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
           (SEE INSTRUCTIONS)                                               [ ]

------------------------------------------------------------------------------
     11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
               0.2%

------------------------------------------------------------------------------
     12    TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)
               PN

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                                SCHEDULE 13G

--------------------------                        ----------------------------
CUSIP NO.   912909108                              PAGE   3  OF  11  PAGES
--------------------------                        ----------------------------

------------------------------------------------------------------------------
     1     NAMES OF REPORTING PERSONS
           I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY)
               PALOMINO FUND LTD.

------------------------------------------------------------------------------
     2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
           (SEE INSTRUCTIONS)                                       (a)   |_|
                                                                    (b)   |_|

------------------------------------------------------------------------------
     3     SEC USE ONLY

------------------------------------------------------------------------------
     4     CITIZENSHIP OR PLACE OF ORGANIZATION
               BRITISH VIRGIN ISLANDS

------------------------------------------------------------------------------
                      5    SOLE VOTING POWER
      NUMBER OF
                               -0-
        SHARES
                     ---------------------------------------------------------
                      6    SHARED VOTING POWER
     BENEFICIALLY
                               -0-
       OWNED BY
                     ---------------------------------------------------------
         EACH         7    SOLE DISPOSITIVE POWER
      REPORTING
                               -0-
        PERSON
                     ---------------------------------------------------------
                      8    SHARED DISPOSITIVE POWER
         WITH
                               -0-
------------------------------------------------------------------------------
     9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
               -0-

------------------------------------------------------------------------------
     10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
           (SEE INSTRUCTIONS)                                               [ ]

------------------------------------------------------------------------------
     11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
               -0-

------------------------------------------------------------------------------
     12    TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)
               CO

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



                                SCHEDULE 13G

--------------------------                        ----------------------------
CUSIP NO.   912909108                              PAGE   4  OF  11  PAGES
--------------------------                        ----------------------------

------------------------------------------------------------------------------
     1     NAMES OF REPORTING PERSONS
           I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY)
               APPALOOSA MANAGEMENT L.P.

------------------------------------------------------------------------------
     2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
           (SEE INSTRUCTIONS)                                       (a)   |_|
                                                                    (b)   |_|

------------------------------------------------------------------------------
     3     SEC USE ONLY

------------------------------------------------------------------------------
     4     CITIZENSHIP OR PLACE OF ORGANIZATION
               DELAWARE

------------------------------------------------------------------------------
                      5    SOLE VOTING POWER
      NUMBER OF
                               -0-
        SHARES
                     ---------------------------------------------------------
                      6    SHARED VOTING POWER
     BENEFICIALLY
                               243,200
       OWNED BY
                     ---------------------------------------------------------
         EACH         7    SOLE DISPOSITIVE POWER
      REPORTING
                               -0-
        PERSON
                     ---------------------------------------------------------
                      8    SHARED DISPOSITIVE POWER
         WITH
                               243,200
------------------------------------------------------------------------------
     9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
               243,200

------------------------------------------------------------------------------
     10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
           (SEE INSTRUCTIONS)                                               [ ]

------------------------------------------------------------------------------
     11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
               0.2%

------------------------------------------------------------------------------
     12    TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)
               PN

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



                                SCHEDULE 13G

--------------------------                        ----------------------------
CUSIP NO.   912909108                              PAGE   5  OF  11  PAGES
--------------------------                        ----------------------------

------------------------------------------------------------------------------
     1     NAMES OF REPORTING PERSONS
           I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY)
               APPALOOSA PARTNERS INC.

------------------------------------------------------------------------------
     2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
           (SEE INSTRUCTIONS)                                       (a)   |_|
                                                                    (b)   |_|

------------------------------------------------------------------------------
     3     SEC USE ONLY

------------------------------------------------------------------------------
     4     CITIZENSHIP OR PLACE OF ORGANIZATION
               DELAWARE

------------------------------------------------------------------------------
                      5    SOLE VOTING POWER
      NUMBER OF
                               -0-
        SHARES
                     ---------------------------------------------------------
                      6    SHARED VOTING POWER
     BENEFICIALLY
                               243,200
       OWNED BY
                     ---------------------------------------------------------
         EACH         7    SOLE DISPOSITIVE POWER
      REPORTING
                               -0-
        PERSON
                     ---------------------------------------------------------
                      8    SHARED DISPOSITIVE POWER
         WITH
                               243,200
------------------------------------------------------------------------------
     9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
               243,200

------------------------------------------------------------------------------
     10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
           (SEE INSTRUCTIONS)                                               [ ]

------------------------------------------------------------------------------
     11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
               0.2%

------------------------------------------------------------------------------
     12    TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)
               CO

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



                                SCHEDULE 13G

--------------------------                        ----------------------------
CUSIP NO.   912909108                              PAGE   6  OF  11  PAGES
--------------------------                        ----------------------------

------------------------------------------------------------------------------
     1     NAMES OF REPORTING PERSONS
           I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY)
               DAVID A. TEPPER

------------------------------------------------------------------------------
     2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
           (SEE INSTRUCTIONS)                                       (a)   |_|
                                                                    (b)   |_|

------------------------------------------------------------------------------
     3     SEC USE ONLY

------------------------------------------------------------------------------
     4     CITIZENSHIP OR PLACE OF ORGANIZATION
               UNITED STATES

------------------------------------------------------------------------------
                      5    SOLE VOTING POWER
      NUMBER OF
                               -0-
        SHARES
                     ---------------------------------------------------------
                      6    SHARED VOTING POWER
     BENEFICIALLY
                               243,200
       OWNED BY
                     ---------------------------------------------------------
         EACH         7    SOLE DISPOSITIVE POWER
      REPORTING
                               -0-
        PERSON
                     ---------------------------------------------------------
                      8    SHARED DISPOSITIVE POWER
         WITH
                               243,200
------------------------------------------------------------------------------
     9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
               243,200

------------------------------------------------------------------------------
     10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
           (SEE INSTRUCTIONS)                                               [ ]

------------------------------------------------------------------------------
     11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
               0.2%

------------------------------------------------------------------------------
     12    TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)
               IN

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



Item 1.

     (a)  NAME OF ISSUER:

          United States Steel Corporation

     (b)  ADDRESS OF ISSUER'S PRINCIPAL EXECUTIVE OFFICES:

          600 Grant Street
          Pittsburgh, PA  15219-2800

Item 2.

(a)       NAME OF PERSON FILING:

          This Statement is being filed by and on behalf of Appaloosa
          Investment Limited Partnership I ("AILP"), Palomino Fund Ltd.
          ("Palomino"), Appaloosa Management L.P. ("AMLP"), Appaloosa
          Partners Inc. ("API") and David A. Tepper ("Mr. Tepper" and,
          together with AILP, Palomino, AMLP and API, the "Reporting
          Persons"). Mr. Tepper is the sole stockholder and the President
          of API. API is the general partner of, and Mr. Tepper owns a
          majority of the limited partnership interests in, AMLP. AMLP is
          the general partner of AILP and acts as investment adviser to
          Palomino.

(b)       ADDRESS OF PRINCIPAL BUSINESS OFFICE OR, IF NONE, RESIDENCE:

          The business address of each of the Reporting Persons is c/o
          Appaloosa Management L.P., 26 Main Street, Chatham, NJ 07928.

(c)       CITIZENSHIP:

          AILP is a Delaware limited partnership. Palomino is a British
          Virgin Islands corporation. AMLP is a Delaware limited
          partnership. API is a Delaware corporation. Mr. Tepper is a
          citizen of the United States.

(d)       TITLE OF CLASS OF SECURITIES:

          Common Stock, par value $1.00 per share.

(e)       CUSIP NUMBER:  912909108

Item 3.   IF THIS STATEMENT IS FILED PURSUANT TO ss.ss.240.13d-1(b) OR
          240.13d-2(b) OR (c), CHECK WHETHER THE PERSON FILING IS A:

     (a) [  ]  Broker or dealer registered under section 15 of the Act
               (15 U.S.C. 78o).

     (b) [  ]  Bank as defined in section 3(a)(6) of the Act (15 U.S.C. 78c).

     (c) [  ]  Insurance company as defined in section 3(a)(19) of the Act
               (15 U.S.C. 78c).

     (d) [  ]  Investment company registered under section 8 of the Investment
               Company Act of 1940 (15 U.S.C. 80a-8).

     (e) [  ]  An investment advisor in accordance with
               ss.240.13d-1(b)(1)(ii)(E);

     (f) [  ]  An employee benefit plan or endowment fund in accordance with
               ss.240.13d-1(b)(1)(ii)(F);

     (g) [  ]  A parent holding company or control person in accordance with
               ss.240.13d-1(b)(1)(ii)(G);

     (h) [  ]  A savings associations as defined in Section 3(b) of the Federal
               Deposit Insurance Act (12 U.S.C. 1813);

     (i) [  ]  A church plan that is excluded from the definition of an
               investment company under section 3(c)(14) of the Investment
               Company Act of 1940 (15 U.S.C. 80a-3);

     (j) [  ]  Group, in accordance with ss.240.13d-1(b)(1)(ii)(J).

Not applicable.

Item 4.   OWNERSHIP:

          The percentages set forth in this Item 4 are based on there being
          113,383,677 shares of Common Stock outstanding as of October 26,
          2005 as disclosed in United States Steel Corporation's Form 10-Q
          filed on October 28, 2005 for the quarterly period ended
          September 30, 2005.

    AILP
    ----

    (a)    AMOUNT BENEFICIALLY OWNED:  243,200

    (b)    PERCENT OF CLASS:  0.2%

    (c)    NUMBER OF SHARES AS TO WHICH THE PERSON HAS:

           (i)   sole power to vote or to direct the vote:  -0-

           (ii)  shared power to vote or to direct the vote:  243,200

           (iii) sole power to dispose or to direct the disposition of:  -0-

           (iv)  shared power to dispose or to direct the disposition of:
                 243,200

    Palomino
    --------

    (a)    AMOUNT BENEFICIALLY OWNED:  -0-

    (b)    PERCENT OF CLASS:  -0-

    (c)    NUMBER OF SHARES AS TO WHICH THE PERSON HAS:

           (i)   sole power to vote or to direct the vote:  -0-

           (ii)  shared power to vote or to direct the vote:  -0-

           (iii) sole power to dispose or to direct the disposition of:  -0-

           (iv)  shared power to dispose or to direct the disposition of:  -0-

    AMLP
    ----

    (a)    AMOUNT BENEFICIALLY OWNED:  243,200

    (b)    PERCENT OF CLASS:  0.2%

    (c)    NUMBER OF SHARES AS TO WHICH THE PERSON HAS:

           (i)   sole power to vote or to direct the vote:  -0-

           (ii)  shared power to vote or to direct the vote:  243,200

           (iii) sole power to dispose or to direct the disposition of:  -0-

           (iv)  shared power to dispose or to direct the disposition of:
                 243,200

    API
    ---

    (a)    AMOUNT BENEFICIALLY OWNED:  243,200

    (b)    PERCENT OF CLASS:  0.2%

    (c)    NUMBER OF SHARES AS TO WHICH THE PERSON HAS:

           (i)   sole power to vote or to direct the vote:  -0-

           (ii)  shared power to vote or to direct the vote:  243,200

           (iii) sole power to dispose or to direct the disposition of:  -0-

           (iv)  shared power to dispose or to direct the disposition of:
                 243,200

    David A. Tepper
    ---------------

    (a)    AMOUNT BENEFICIALLY OWNED:  243,200

    (b)    PERCENT OF CLASS:  0.2%

    (c)    NUMBER OF SHARES AS TO WHICH THE PERSON HAS:

           (i)   sole power to vote or to direct the vote:  -0-

           (ii)  shared power to vote or to direct the vote:  243,200

           (iii) sole power to dispose or to direct the disposition of:  -0-

           (iv)  shared power to dispose or to direct the disposition of:
                 243,200

Item 5.   OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS:

          If this statement is being filed to report the fact that as of
the date hereof the reporting person has ceased to be the beneficial owner
of more than five percent of the class of securities, check the following:
|X|

Item 6.   OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON:

          Not applicable.

Item 7.   IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH ACQUIRED
          THE SECURITY BEING REPORTED ON BY THE PARENT HOLDING COMPANY OR
          CONTROL PERSON:

          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, I certify that the information set forth in this statement is true,
complete and correct.

Dated:  February 10, 2006

                               APPALOOSA INVESTMENT LIMITED PARTNERSHIP I

                               By:  APPALOOSA MANAGEMENT L.P.,
                                       Its General Partner

                                       By:  APPALOOSA PARTNERS INC.,
                                        Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               PALOMINO FUND LTD.

                               By:  APPALOOSA MANAGEMENT L.P.,
                                       Its Investment Adviser

                                       By:  APPALOOSA PARTNERS INC.,
                                        Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               APPALOOSA MANAGEMENT L.P.

                               By:  APPALOOSA PARTNERS INC.,
                                       Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               APPALOOSA PARTNERS INC.

                               By: /s/ David A. Tepper
                                  --------------------------------
                                  Name:    David A. Tepper
                                  Title:   President

                                /s/ David A. Tepper
                               --------------------------------
                               David A. Tepper




                                 EXHIBIT A
                                 ---------

                           JOINT FILING AGREEMENT
                           ----------------------

The undersigned agree that the foregoing Statement on Schedule 13G
(including any and all amendments thereto) is being filed with the
Securities and Exchange Commission on behalf of each of the undersigned
pursuant to Rule 13d-1(k) under the Act and further agree that this Joint
Filing Agreement be included as an Exhibit to such joint filings.

Dated:  February 10, 2006

                               APPALOOSA INVESTMENT LIMITED PARTNERSHIP I

                               By:  APPALOOSA MANAGEMENT L.P.,
                                       Its General Partner

                                       By:  APPALOOSA PARTNERS INC.,
                                        Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               PALOMINO FUND LTD.

                               By:  APPALOOSA MANAGEMENT L.P.,
                                       Its Investment Adviser

                                       By:  APPALOOSA PARTNERS INC.,
                                        Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               APPALOOSA MANAGEMENT L.P.

                               By:  APPALOOSA PARTNERS INC.,
                                       Its General Partner

                                        By: /s/ David A. Tepper
                                           --------------------------------
                                           Name:    David A. Tepper
                                           Title:   President

                               APPALOOSA PARTNERS INC.

                               By: /s/ David A. Tepper
                                  --------------------------------
                                  Name:    David A. Tepper
                                  Title:   President

                                /s/ David A. Tepper
                               --------------------------------
                               David A. Tepper