<Page> UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM N-CSR/A CERTIFIED SHAREHOLDER REPORT OF REGISTERED MANAGEMENT INVESTMENT COMPANIES Investment Company Act file number: 811-10533 Exact name of registrant as specified in charter: Reserve Municipal Money Market Trust Address of principal executive offices: 1250 Broadway New York, NY 10001-3701 Name and address of agent for service: Amy W. Bizar 1250 Broadway New York, NY 10001-3701 Registrant's telephone number, including area code: 212-401-5500 Date of fiscal year end: May 31 Date of reporting period: May 31, 2004 <Page> The sole purpose of this amendment is to furnish the certification required by Section 906 of the Sarbanes-Oxley Act of 2002 (Subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code) which was omitted from the Form N-CSR filed by the Registrant with the Securities and Exchange Commission on August 9, 2004. ITEM 12. EXHIBITS. Certification of chief executive officer and chief financial officer pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 is attached as Exhibit 99.906CERT. <Page> SIGNATURES Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized. Reserve Municipal Money Market Trust By: /s/ Bruce R. Bent ----------------------- Name: Bruce R. Bent Title: Chairman and CEO Date: January 24, 2005 Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, this report has been signed by the following persons on behalf of the registrant and in the capacities and on the dates indicated. By: /s/ Bruce R. Bent ----------------------- Name: Bruce R. Bent Title: Chairman and CEO Date: January 24, 2005 By: /s/ Arthur T. Bent III ----------------------- Name: Arthur T. Bent III Title: Treasurer (Principal Financial Officer) Date: January 24, 2005