METLIFE STATE STREET MONEY MARKET TRUST
24F-2NT, 1996-05-29
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U.S. SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

FORM 24F-2
Annual Notice of Securities Sold
Pursuant to Rule 24f-2

Read instructions at end of Form before preparing Form. Please print or type.



1.      Name and address of issuer:
        State Street Research Money Market Trust
        One Financial Center
        Boston, MA 02111
- -------------------------------------------------------------------------------
2.      Name of each series or class of funds for which this notice is filed:

        State Street Research Money Market Fund
- -------------------------------------------------------------------------------
3.      Investment Company Act File Number:     811-4295

        Securities Act File Number:             2-97506
- -------------------------------------------------------------------------------
4.      Last day of fiscal year for which this notice is filed: March
        31, 1996
- -------------------------------------------------------------------------------
5.      Check box if this notice is being filed more than 180 days after the
        close of the issuer's fiscal year for purposes of reporting securities
        sold after the close of the fiscal year but before termination of the
        issuer's 24f-2 declaration: [ ]
- -------------------------------------------------------------------------------
6.      Date of termination of issuer's declaration under rule 24f-2(a)(1),
        if applicable (see Instruction A.6):
- -------------------------------------------------------------------------------
7.      Number and amount of securities of the same class or series which 
        had been registered under the Securities Act of 1933 other than pursuant
        to rule 24f-2 in a prior fiscal year, but which remained unsold at the
        beginning of the fiscal year:

        State Street Research Money Market Fund shares                        0
- -------------------------------------------------------------------------------

<PAGE>

8.      Number and amount of securities registered during the fiscal year other
        than pursuant to rule 24f-2:

        State Street Research Money Market Fund shares                        0
- -------------------------------------------------------------------------------
9.      Number and aggregate sale price of securities sold during the fiscal 
        year:

        Number of securities sold:
        State Street Research Money Market Fund shares              945,421,369

        Aggregate sale price of securities sold:
        State Street Research Money Market Fund shares             $945,421,369
- -------------------------------------------------------------------------------
10.     Number and aggregate sale price of securities sold during the fiscal 
        year in reliance upon registration pursuant to rule 24f-2:

        Number of securities sold:
        State Street Research Money Market Fund shares              945,421,369

        Aggregate sale price of securities sold:
        State Street Research Money Market Fund shares             $945,421,369
- -------------------------------------------------------------------------------
11.     Number and aggregate sale price of securities issued during the fiscal
        year in connection with dividend reinvestment plans, if applicable (see
        Instruction B.7):

        Number of securities issued:
        State Street Research Money Market Fund shares                7,159,327

        Aggregate sale price of securities issued:
        State Street Research Money Market Fund shares               $7,159,327
- -------------------------------------------------------------------------------
 


<PAGE>

12.     Calculation of registration fee:

        (i)   Aggregate sale price of securities sold during the
              fiscal year in reliance on rule 24f-2
              (from Item 10):                                      $945,421,369

        (ii)  Aggregate price of shares issued in connection with
              dividend reinvestment plans (from Item 11,
              if applicable):                                     + $ 7,159,327

        (iii) Aggregate price of shares redeemed or repurchased
              during the fiscal year (if applicable):             - 893,975,143

        (iv)  Aggregate price of shares redeemed or repurchased
              and previously applied as a reduction to filing
              fees pursuant to rule 24e-2 (if applicable):                  + 0

        (v)   Net aggregate price of securities sold and issued
              during the fiscal year in reliance on rule 24f-2
              [line (i), plus line (ii), less line (iii), plus
              line (iv)] (if applicable):                            58,605,553

        (vi)  Multiplier prescribed by Section 6(b) of the
              Securities Act of 1933 or other applicable law
              or regulation (see Instruction C.6):                     x 1/2900

        (vii) Fee due [line (i) or line (v) multiplied by line (vi)]  $  20,209
                                                                    -----------

Instruction:  Issuers should complete lines (ii), (iii), (iv),
              and (v) only if the form is being filed within
              60 days after the close of the issuer's fiscal year.
              See Instruction C.3.
- -------------------------------------------------------------------------------
13.     Check box if fees are being remitted to the Commission's lockbox
        depository as described in section 3a of the Commission's Rules of
        Informal and Other Procedures (17 CFR 202.3a).                      [X]

        Date of mailing or wire transfer of filing fees to the Commission's
        lockbox depository:

        May 22, 1996
- -------------------------------------------------------------------------------
                                   SIGNATURES

        This report has been signed below by the following persons on behalf of
        the issuer and in the capacities and on the dates indicated.

        By (Signature and Title)* /s/   Amy L. Simmons
                                  ---------------------
                                  Amy L. Simmons, Assistant Secretary

        Date May 28, 1996

        *Please print the name and title of the signing officer below the 
         signature.
<PAGE>


[letterhead of Goodwin, Procter & Hoar LLP,
Counsellors At Law, Exchange Place, Boston, MA 02109-2881]



                                                       May 28, 1996



Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C.  20549

         Re:      Rule 24f-2 Notice for State Street Research Money Market Trust
                  1933 Act File No. 2-97506
                  1940 Act File No. 811-4295
                  --------------------------------------------------------------
Gentlemen:

         As counsel to State Street Research Money Market Trust (the
"Registrant") we have been requested to render this opinion in connection with
the filing by the Registrant of a Rule 24f-2 Notice on Form 24F-2 with respect
to its fiscal year ended March 31, 1996.

         Reference is made to such Notice and the footnote thereto wherein the
Registrant reports the number of shares (the "Shares") representing interests in
the State Street Research Money Market Fund series of the Registrant sold during
the fiscal year ended March 31, 1996, in reliance upon Rule 24f-2 under the
Investment Company Act of 1940, as amended.

         We have examined the Registrant's Second Amended and Restated Master
Trust Agreement dated June 1, 1993, the By-Laws of the Registrant, as amended,
the Rule 24f-2 Notice of the Registrant dated May 28, 1996, certain resolutions
adopted by the Trustees of the Registrant, and such other documents as we deemed
necessary for purposes of this opinion.

         We are attorneys admitted to practice in The Commonwealth of
Massachusetts. We express no opinion concerning the laws of any jurisdiction
other than the laws of The Commonwealth of Massachusetts.

         Based upon the foregoing, and assuming that all of the Shares were
sold, issued and paid for in accordance with the terms of the applicable
Prospectus and Statement of Additional Information contained in the Registrant's
Registration Statement on Form N-1A in effect at the time of sale, in our
opinion the shares were legally issued and fully paid and non-assessable by the
Registrant.

                                               Very truly yours,

                                               /s/Goodwin, Procter & Hoar LLP

                                               GOODWIN, PROCTER & HOAR  LLP


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