Exhibit 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 Reserve Municipal Money Market Trust (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 9, 2007

By:	/s/ Bruce R. Bent II
	Name: Bruce R. Bent II
	Title:   Co-Chief Financial Officer
By:	/s/ Arthur T. Bent III
	Name: Arthur T. Bent III
	Title:   Co-Chief Executive Officer
By:	/s/ Patrick Farrell
	Name: Patrick Farrell
	Title:   Chief Financial Officer

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.