GENERAL MUNICIPAL BOND FUND INC
497, 1995-12-01
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                                                            December 1, 1995
                      GENERAL MUNICIPAL BOND FUND, INC.
                          SUPPLEMENT TO PROSPECTUS
                           DATED JUNE 1, 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:
        *      Dreyfus TELETRANSFER Privilege
        *      Telephone Exchange Privilege
        *      Wire Redemption Privilege
        *      Telephone Redemption Privilege
106s120195


                                                            December 1, 1995

                     GENERAL MUNICIPAL BOND FUND, INC.

             Supplement to Statement of Additional Information
                             Dated June 1, 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.

     How to Buy Fund Shares -- Dreyfus TeleTransfer Privilege.  Dreyfus
TeleTransfer purchase orders may be made at any time.  Purchase orders
received by 4:00 P.M., New York time, on any business day that Dreyfus
Transfer, Inc., the Fund's transfer and dividend disbursing agent (the
"Transfer Agent"), and the New York Stock Exchange are open for business
will be credited to the shareholder's Fund account on the next bank
business day following such purchase order.  Purchase orders made after
4:00 P.M., New York time, on any business day the Transfer Agent and the
New York Stock Exchange are open for business, or orders made on Saturday,
Sunday or any Fund holiday (e.g., when the New York Stock Exchange is not
open for business), will be credited to the shareholder's Fund account on
the second bank business day following such purchase order.





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