DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND INC
497, 1995-11-21
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                                                        December 1, 1995
          DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET 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":
        Effective December 1, 1995, 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
758s120195

                                                            December 1, 1995

               DREYFUS INTERMEDIATE MUNICIPAL BOND FUND, INC.

             Supplement to Statement of Additional Information
                           Dated September 1, 1995

     The following information supplements or replaces the information
contained in the following indicated sections of the Fund's Statement of
Additional Information:

                          PURCHASE OF 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.

             CUSTODIAN, TRANSFER AND DIVIDEND DISBURSING AGENT,
                      COUNSEL AND INDEPENDENT AUDITORS

     Dreyfus Transfer, Inc., a wholly owned subsidiary of the Manager, is
located at One American Express Plaza, Providence, Rhode Island  02903, and
serves as the Fund's transfer and dividend disbursing agent.  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.




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