GENERAL MUNICIPAL MONEY MARKET FUND INC
497, 1994-04-20
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                                                             April 20, 1994

                  GENERAL MUNICIPAL MONEY MARKET FUND, INC.
                          Supplement to Prospectus
                           Dated February 25, 1994


     The following information supplements and should be read in
conjunction with the section of the Fund's Prospectus entitled "Management
of the Fund."

     The Dreyfus Corporation ("Dreyfus"), has entered into an Agreement
and Plan of Merger (the "Merger Agreement") providing for the merger of
Dreyfus with a subsidiary of Mellon Bank Corporation ("Mellon").

     Following the merger, it is planned that Dreyfus will be a direct
subsidiary of Mellon Bank, N.A.  Closing of this merger is subject to a
number of contingencies, including receipt of certain regulatory approvals
and approvals of the stockholders of Dreyfus and of Mellon.  The merger is
expected to occur in mid-1994, but could occur significantly later.

     As a result of regulatory requirements and the terms of the Merger
Agreement, Dreyfus will seek various approvals from the Fund's board and
shareholders before completion of the merger.  Shareholder approval will
be solicited by a proxy statement.

                       ______________________________

     The following information relating to shareholder inquiries made by
telephone from Long Island supersedes that contained in the fourth
paragraph of the section of the Fund's Prospectus entitled "General
Information."

     With respect to shareholder inquiries made from Long Island, call
794-5452.

                       ______________________________

     The following information supplements and should be read in
conjunction with the section of the Fund's Prospectus entitled
Yield Information."

     From time to time advertising materials for the Fund also may refer
to Value Line Mutual Fund Survey company ratings and related analyses
supporting the rating.


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