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                              Exhibit EX-99.906CERT


     Certification Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002
        (Subsections (a) and (b) of Section 1350, Chapter 63 of Title 18,
                               United States Code)


In connection with the attached report of the Reserve Municipal Money Market
(the "Registrant") on Form N-CSR (the "Report"), each of the undersigned
officers of the Registrant does hereby certify that, to the best of such
officer's knowledge:

   1) the Report fully complies with the requirements of Section 13(a) or 15(d),
      as applicable, of the Securities Exchange Act of 1934, as amended;

   2) the information contained in the Report fairly presents, in all material
      respects, the financial condition and results of operations of the
      Registrant as of, and for, the periods presented in the Report.


Dated: August 11, 2003
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By:   /s/ Bruce Bent
      ------------------------
      Bruce Bent
      Chief Executive Officer


Dated: August 11, 2003
      -----------------


By:   /s/ ARTHUR BENT
      ------------------------
      Arthur Bent
      Treasurer and Principal Financial Officer

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A signed original of this written statement required by Section 906, or other
document authenticating, acknowledging, or otherwise adopting the signature that
appears in typed form within the electronic version of this written statement
required by Section 906, has been provided to the registrant and will be
retained by the Registrant and furnished to the Securities and Exchange
Commission or its staff upon request.

This certification is being furnished solely pursuant to 18 U.S.C. ss. 1350 and
is not being filed as part of the Report or as a separate disclosure document.