DREYFUS GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND
497, 1996-11-26
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                                                             November 25, 1996
                  GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND
                              Supplement to Prospectus
                                 Dated April 4, 1996
        THE FOLLOWING INFORMATION SUPPLEMENTS AND SUPERSEDES ANY CONTRARY
INFORMATION CONTAINED IN THE SECTION OF THE FUND'S PROSPECTUS ENTITLED "HOW
TO BUY SHARES":
        Fund shares are sold on a continuous basis at the net asset value per
share next determined after an order in proper form and Federal Funds (monies
of member banks within the Federal Reserve System which are held on deposit
at a Federal Reserve Bank) are received by the Transfer Agent or other agent
or entity subject to the direction of such agents.
        The Fund's net asset value per share is determined twice each day the
New York Stock Exchange is open for business:  as of 12:00 Noon, New York
time, and as of 8:00 p.m., New York time.
        Qualified institutions may telephone orders for purchase of Fund
shares. A telephone order will become effective at the price determined at
12:00 Noon, New York time, on a given day, and the shares purchased will
receive the dividend on Fund shares declared on that day, if such order is
placed to the Distributor or its designee by 12:00 Noon, New York time, and
Federal Funds are received by 4:00 p.m., New York time, on that day.  A
telephone order placed to the Distributor or its designee after 12:00 Noon,
New York time, but by 8:00 p.m., New York time, on a given day will become
effective at the price determined at 8:00 p.m., New York time, on that day if
Federal Funds are received by 11:00 a.m., New York time, on the next business
day.  The shares so purchased will begin to accrue dividends on the business
day following the date the order became effective.

                         (CONTINUED ON REVERSE SIDE)

        THE FOLLOWING INFORMATION SUPPLEMENTS AND SUPERSEDES ANY CONTRARY
INFORMATION CONTAINED IN THE SECTION OF THE FUND'S PROSPECTUS ENTITLED "HOW
TO REDEEM SHARES -- PROCEDURES -- REDEMPTION THROUGH A SELECTED DEALER":
        If the Selected Dealer transmits the redemption request so that it is
received by 12:00 Noon, New York time, on a business day, the proceeds of the
redemption ordinarily will be transmitted in Federal Funds on the same day
and the shares will not receive the dividend declared on that day.  If the
redemption request is received after such time, but by 8:00 p.m., New York
time, the redemption request will be effective on that day, the shares will
receive the dividend declared on that day and the proceeds of redemption
ordinarily will be transmitted in Federal Funds on the next business day.
                                                                    574s112596


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