STATE STREET RESEARCH MONEY MARKET TRUST
497J, 1999-08-05
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[letterhead]
State Street Research Investment Services, Inc.
One Financial Center
Boston, Massachusetts 02111
(617) 357-7800

VIA EDGAR
- ---------

August 5, 1999

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

Re:   State Street Research Money Market Trust
      Securities Act of 1933 Registration No. 2-97506
      Investment Company Act of 1940 File No. 811-4295
      CIK No. 0000768530

Ladies and Gentlemen:

      The undersigned, STATE STREET RESEARCH MONEY MARKET TRUST, a
Massachusetts business trust (the "Registrant"), does hereby certify as follows:

(1)   That the forms of prospectus and Statement of Additional Information that
      would have been filed under paragraph (c) of Rule 497 of the Securities
      Act of 1933, as amended (the "Securities Act"), would not have differed
      from that contained in the most recent amendment to the registration
      statement of the Registrant (Post-Effective Amendment No. 15 under the
      Securities Act; Amendment No. 19 under the Investment Company Act of 1940,
      as amended) for the State Street Research Money Market Fund series of the
      Registrant; and

(2)   That the text of the most recent amendment to the Registrant's
      registration statement has been filed electronically (EDGAR accession
      number 0000950146-99-001390).


STATE STREET RESEARCH
MONEY MARKET TRUST

By:   /s/  Amy L. Simmons
      -------------------
      Amy L. Simmons


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