GENERAL MUNICIPAL MONEY MARKET FUND INC
24F-2NT, 1994-01-27
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                    GENERAL MUNICIPAL MONEY MARKET FUND, INC.
                         c/o THE DREYFUS CORPORATION
                                200 PARK AVENUE
                              NEW YORK, NY  10166




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



      24f-2 Notice - GENERAL MUNICIPAL MONEY MARKET FUND, INC.
      Registration Statement No. 2-77767 - CIK #00000703153

Gentlemen:

    On December 1, 1982, the Registration Statement of General Municipal Money
Market Fund, Inc. was declared effective by the SEC.  The Registration State-
ment 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 November 30, 1993.

    The following information is furnished:

    (a) Shares registered under Securities Act
        of 1933 other than pursuant to Rule 24f(2)
        which remained unsold on 12/1/92:                        469,319,897

    (b) Shares registered during fiscal year
        other than pursuant to Section 24(f):                       None
                                                                 -----------

        Total of (a) and (b)                                     469,319,897
                                                                 ===========


                                                  SHARES        DOLLAR AMOUNT

    (c) Total number of shares sold during
        fiscal year ended 11/30/93 subject
        to registration under Rule 24f-2:   2,320,677,058    $2,320,677,058

    (d) Less shares redeemed during
        fiscal year ended 11/30/93:         2,372,623,110     2,372,623,110
                                           ---------------   ---------------

     Net Sales During Year [(c)-(d)]:       (   51,946,052)  ($   51,946,052)
                                          ===============    ================

     Less shares registered other than pur-
     suant to Section 24(f)  ((a) + (b))      469,319,897       469,319,897
                                           --------------   ----------------

     Unsold balance of registered shares    (  521,265,949)  ($  521,265,949)




                                       -2-


                              CALCULATION OF FEE

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



                                                 Very truly yours,

MNJ/ems

                                                 Mark N. Jacobs, Secretary
cc:  Mr. J. deMichaelis, SEC
     Ms. R. McLaughlin, E&Y
     Mr. S. Rosenberg, BONY


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