DREYFUS MUNICIPAL MONEY MARKET FUND INC
24F-2NT, 1994-07-27
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                    DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
                                200 PARK AVENUE
                              NEW YORK, NY  10166



Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, DC  20549


    24F-2 Notice - DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
    Registration Statement No. 2-65232 - CIK #312564

Gentlemen:

    On August 7, 1980, the Registration Statement of Dreyfus Municipal Money
Market Fund, Inc. was declared effective by the SEC.  The Registration
Statement represented the Fund's election to register an indefinite number of
shares and this Notice, filed pursuant to Rule 24f-2, is for the fiscal year
ended May 31, 1994.

    The following information is furnished:

    (a) Shares registered under Securities Act
        of 1933 other than pursuant to Rule 24f(2)
        which remained unsold on June 1, 1994:                 1,943,970,837

    (b) Shares registered during fiscal year
        other than pursuant to Section 24(f)

    Post-Effective Amendment No. 21 effective 10/13/93:          109,041,935
                                                               -------------

    Total of (a) and (b)                                       2,053,012,772
                                                               =============


                                                  SHARES        DOLLAR AMOUNT

    (c) Total number of shares sold during
        fiscal year ended 5/31/94 subject
        to registration under Rule 24f-2:   4,240,427,196   $4,240,427,196

    (d) Less shares redeemed during
        fiscal year ended 5/31/94:          4,556,104,173    4,556,104,173
                                            ----------------  ----------------

    Net Sales During Year [(c) - (d)]:       (  315,676,977)  ($  315,676,977)
                                            ================  ================

    Less shares registered other
    than pursuant to Section 24(f)          2,053,012,772    2,053,012,772
                                           ---------------  ----------------

    Unsold balance of registered shares      (2,368,689,749)  ($2,368,689,749)
                                            ================ =================
                                         -2-


                                   CALCULATION OF FEE

    Since the shares redeemed exceed the shares sold, no registration fee is
required.  An opinion of counsel is enclosed.


DCM/ems                                            Very truly yours,

cc:  Mr. J. deMichaelis, SEC
     Ms. R. McLaughlin, E&Y                        Daniel C. Maclean,
     Mr. S. Rosenberg, BONY                        Secretary



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