DREYFUS OHIO MUNICIPAL MONEY MARKET FUND INC
24F-2NT, 1995-01-27
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                   DREYFUS OHIO 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 OHIO MUNICIPAL MONEY MARKET FUND, INC.
      Registration Statement No. 33-38742 - CIK #00000863558

Gentlemen:

    On February 21, 1991, the Registration Statement of Dreyfus Ohio 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 November 30, 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 12/1/93:                          None

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

    Post-Effective Amendment No. 5 effective 4/28/94:              398,460
                                                               -------------

        Total of (a) and (b)                                       398,460
                                                                =============



                                                  SHARES        DOLLAR AMOUNT

    (c) Total number of shares sold during
        fiscal year ended 11/30/94 subject
        to registration under Rule 24f-2:     274,495,560     $274,495,560

    (d) Less shares redeemed during
        fiscal year ended 11/30/94:           276,775,461      276,775,461
                                             -------------    --------------

     Net Sales During Year [(c)-(d)]:          (  2,279,901)    $(  2,279,901)
                                             =============    ==============

     Less shares registered other than pur-
     suant to Section 24(f)  ((a)+(b))            398,460          398,460
                                             -------------    --------------

     Unsold balance of registered shares     (  2,678,361)   ($  2,678,361)   

                                  -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,
JJP/ems

                                                 John J. Pyburn
cc:  Mr. J. deMichaelis, SEC                     Assistant Treasurer
     Ms. R. McLaughlin, E&Y



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