June 2, 1994
GENERAL MONEY MARKET FUND, INC.
Supplement to Statement of Additional Information
Dated March 25, 1994
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.
