June 1, 1994
GENERAL MUNICIPAL MONEY
MARKET FUND, INC.
SUPPLEMENT TO PROSPECTUS DATED FEBRUARY 25, 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.
918/stkr060194
June 1, 1994
GENERAL MUNICIPAL MONEY MARKET FUND, INC.
Supplement to Statement of Additional Information
Dated February 25, 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":
Dividend ACH. 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 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.
