SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


                                 SCHEDULE 13G/A
                    Under the Securities Exchange Act of 1934
                                (Amendment No. 1)




                          THE NASDAQ STOCK MARKET, INC.
                                (Name of Issuer)

                     Common Stock, par value $0.01 per share
                         (Title of Class of Securities)

                                     631103
                                 (CUSIP Number)

                                December 31, 2004
                                February 9, 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)
[ ]      Rule 13d-1(c)
|X|      Rule 13d-1(d)



                               Page 1 of 5 Pages



                                  SCHEDULE 13G

-------------------------                               ------------------------
CUSIP No. 631103                                               Page 2 of 4 Pages
-------------------------                               ------------------------

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

     The National Association of Securities Dealers, Inc.
     IRS # 53-0088710
--------------------------------------------------------------------------------
2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
                                                                         (a) [ ]
     Not applicable
                                                                         (b) [ ]

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


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


     Delaware
--------------------------------------------------------------------------------
                          5       SOLE VOTING POWER

                                  26,638,996
                        --------------------------------------------------------
       NUMBER OF          6       SHARED VOTING POWER
        SHARES
     BENEFICIALLY                 0
       OWNED BY         --------------------------------------------------------
         EACH             7       SOLE DISPOSITIVE POWER
       REPORTING
        PERSON                    4,983,428
         WITH           --------------------------------------------------------
                          8       SHARED DISPOSITIVE POWER

                                  0
--------------------------------------------------------------------------------
9    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

     26,638,996
--------------------------------------------------------------------------------
10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
     (See Instructions)                                                      [ ]

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

     33.7%
--------------------------------------------------------------------------------
12   TYPE OF REPORTING PERSON

     OO
--------------------------------------------------------------------------------


                               Page 2 of 5 Pages



                                  SCHEDULE 13G

Item 1 (a)        Name of Issuer:

                  The Nasdaq Stock Market, Inc.

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

                  One Liberty Plaza
                  New York, New York 10006

Item 2 (a)        Name of Person Filing:

                  The National Association of Securities Dealers, Inc.

Item 2 (b)        Address of Principal Business Office:

                  1735 K Street, N.W.
                  Washington, DC 20006

Item 2 (c)        Citizenship:

                  Delaware

Item 2 (d)        Title of Class of Securities:

                  Common Stock, par value $0.01 per share

Item 2 (e)        CUSIP Number:

                  631103

Item 3            Not Applicable

Item 4            Ownership:

                  (a)   Amount Beneficially Owned: 26,638,996

                  (b)   Percent of Class: 33.7%

                  (c)   Number of Shares as to which the person has:

                        (i)   Sole power to vote or to direct the vote:
                              26,638,996

                        (ii)  Shared power to vote or to direct the vote:
                              Not applicable

                        (iii) Sole power to dispose or to direct the disposition
                              of: 4,983,428

                        (iv)  Shared power to dispose or to direct the
                              disposition of: Not applicable

                  As of December 31, 2004, the National Association of
                  Securities Dealers, Inc. ("NASD") had issued and outstanding
                  10,806,494 warrants ("Warrants") to purchase up to an
                  aggregate of 43,225,976 shares of The Nasdaq Stock Market,
                  Inc.'s ("Nasdaq") common stock, par value $0.01

                               Page 3 of 5 Pages


                  per share (the "Common Stock"), held by or on behalf of NASD.
                  Each Warrant is exercisable for one share of Common Stock in
                  each of four consecutive exercise periods of approximately
                  one-year each (the first exercise period expired at the close
                  of business on June 27, 2003, and the second period expired at
                  the close of business on June 30, 2004).

                  Until Nasdaq is registered as an exchange ("Exchange
                  Registration"), the shares of Common Stock underlying the
                  Warrants are subject to a voting trust agreement (the "Voting
                  Trust") whereby a voting trustee will vote all shares of
                  Common Stock underlying unexpired and unexercised Warrants, as
                  well as those shares sold upon the exercise of Warrants, as
                  directed by NASD. The ability of a holder of Common Stock
                  purchased through the exercise of a Warrant to dispose of the
                  economic interest in such stock is not affected by the Voting
                  Trust.

                  As of December 31, 2004, the 43,225,976 shares of Common Stock
                  beneficially owned by NASD was composed of the following:

                  o     21,570,408 shares of Common Stock that were subject to
                        unexercised expired Warrants. Such shares were owned by
                        NASD and not subject to the Voting Trust. NASD had sole
                        dispositive and voting power over such shares.

                  o     42,580 shares of Common Stock that were sold upon
                        exercise of Warrants. As a consequence of the Voting
                        Trust, NASD retains voting power over such shares until
                        Exchange Registration, but has no economic interest in
                        such shares. Dispositive power over such shares is held
                        by their record holders.

                  o     21,612,988 shares of Common Stock that are subject to
                        unexercised unexpired Warrants. NASD may be deemed to
                        have voting power over these shares until Exchange
                        Registration through the Voting Trust, but does not have
                        dispositive power over any of these shares until the
                        applicable exercise period of the Warrants expires.
                        10,806,494 of these shares can be purchased by Warrant
                        holders through the close of business on June 28, 2005,
                        the date on which the third exercise period expires. The
                        remaining 10,806,494 shares can be purchased by Warrant
                        holders from June 29, 2005 through the close of business
                        on June 28, 2006, the date on which the fourth exercise
                        period expires.

                  On February 9, 2005, NASD entered into an underwriting
                  agreement with Merrill Lynch, Pierce, Fenner & Smith
                  Incorporated and Credit Suisse First Boston LLC providing for
                  the sale by NASD of 14,000,000 of the 21,570,408 shares of
                  Common Stock that were subject to unexercised expired Warrants
                  in a registered public offering. The underwriters also
                  exercised their overallotment option to purchase from NASD an
                  additional 2,586,980 shares pursuant to the underwriting
                  agreement. The sale of these 16,586,980 shares is scheduled to
                  close February 15, 2005.

Item  5           Ownership of Five Percent or Less of a Class:

                  Not Applicable


                               Page 4 of 5 Pages


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:

                  Not Applicable


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 14, 2005


/s/ Todd T. Diganci
---------------------------
Signature

Name:  Todd T. Diganci
Title:  Executive Vice President and Chief Financial Officer



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