STATE STREET RESEARCH MONEY MARKET TRUST
497J, 2000-08-03
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[letterhead]
State Street Research Investment Services, Inc.
One Financial Center
Boston, Massachusetts 02111

August 3, 2000

VIA EDGAR

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.
         16 under the Securities Act; Amendment No. 20 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 0000950146-00-000738).

STATE STREET RESEARCH
MONEY MARKET TRUST

By:      /s/  Amy L. Simmons
         Amy L. Simmons
         Assistant Secretary


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