DREYFUS GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND
497, 1994-06-01
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                                                              June 1, 1994
                        GENERAL NEW YORK MUNICIPAL
                             MONEY MARKET FUND
              SUPPLEMENT TO PROSPECTUS DATED MARCH 15, 1994
    Effective June 1, 1994, the Fund's Service Plan has been terminated. The
Fund will continue to bear directly the costs of preparing and printing
prospectuses and statements of additional information used for regulatory
purposes and for distribution to existing shareholders. The Dreyfus
Corporation may pay Dreyfus Service Corporation for shareholder and
distribution services from The Dreyfus Corporation's assets, including
past profits but not including the management fee paid by the Fund.
Dreyfus Service Corporation may use part or all of such payments to pay
securities dealers or others in respect of these services.
                                                          574/stkr060194

 

                                                          June 1, 1994



             GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND
           Supplement to Statement of Additional Information
                         Dated March 15, 1994


           Effective June 1, 1994, the Fund's Service Plan has
been terminated.  The Fund will continue to bear directly the
costs of preparing and printing prospectuses and statements of
additional information used for regulatory purposes and for
distribution to existing shareholders.  The Dreyfus Corporation
may pay Dreyfus Service Corporation for shareholder and
distribution services from The Dreyfus Corporation's assets,
including past profits but not including the management fee paid
by the Fund.  Dreyfus Service Corporation may use part or all of
such payments to pay securities dealers or others in respect of
these services.


      The following information supplements and should be read in
conjunction with the section of the Fund's Statement of
Additional Information entitled "Shareholder Services":

      Dreyfus Dividend ACH.  Dreyfus Dividend ACH permits a
shareholder to transfer electronically their dividends or
dividends and capital gains, if any, from the Fund to a
designated bank account.  Only an account maintained at a
domestic financial institution which is an Automated Clearing
House member may be so designated.  Banks may charge a fee for
this service.  For more information concerning Dreyfus Dividend
ACH, or to request a Dividend Options form, please call toll free
1-800-645-6561.  You may cancel this privilege by mailing written
notification to The Dreyfus Family of Funds, P.O. Box 9671,
Providence, Rhode Island 02940-9671.  Enrollment or cancellation
is effective three business days following receipt.  This
privilege is available only for existing accounts.  The Fund may
modify or terminate this privilege at any time or charge a
service fee.  No such fee is currently contemplated.




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