December 1, 1995
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
SUPPLEMENT TO PROSPECTUS
DATED MARCH 31, 1995
THE FOLLOWING INFORMATION SUPPLEMENTS OR REPLACES THE INFORMATION
CONTAINED IN THE SECTIONS OF THE FUND'S PROSPECTUS ENTITLED "MANAGEMENT OF
THE FUND," "HOW TO BUY FUND SHARES," "SHAREHOLDER SERVICES," AND "HOW TO
REDEEM FUND SHARES":
Dreyfus Transfer, Inc., a wholly-owned subsidiary of The Dreyfus
Corporation, is located at One American Express Plaza, Providence, Rhode
Island 02903, and serves as the Fund's Transfer and Dividend Disbursing Agent
(the "Transfer Agent").
Effective January 1, 1996, the telephone number for the following
transactions is 1-800-645-6561 or, if you are calling from overseas,
516-794-5452:
* Telephone Exchange Privilege
* Wire Redemption Privilege
* Telephone Redemption Privilege
975s120195
December 1, 1995
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
Supplement to Statement of Additional Information
Dated March 31, 1995
The following information supplements and supersedes any contrary
information contained in the Fund's Statement of Additional Information:
Effective December 1, 1995, Dreyfus Transfer, Inc. (the "Transfer
Agent") became the Fund's transfer and dividend disbursing agent. The
Transfer Agent, a wholly owned subsidiary of the Manager, is located at One
American Express Plaza, Providence, Rhode Island 02903. Under a transfer
agency agreement with the Fund, the Transfer Agent arranges for the
maintenance of shareholder account records for the Fund, the handling of
certain communications between shareholders and the Fund and the payment of
dividends and distributions payable by the Fund. For these services, the
Transfer Agent receives a monthly fee computed on the basis of the number
of shareholder accounts it maintains for the Fund during the month, and is
reimbursed for certain out-of-pocket expenses. The Transfer Agent has no
part in determining the investment policies of the Fund or which securities
are to be purchased or sold by the Fund.