June 1, 1995
                DREYFUS FLORIDA INTERMEDIATE MUNICIPAL BOND FUND
                           SUPPLEMENT TO PROSPECTUS
                                DATED MAY 1, 1995
        THE FOLLOWING INFORMATION SUPPLEMENTS AND SHOULD BE READ IN
CONJUNCTION WITH THE SECTIONS OF THE FUND'S PROSPECTUS ENTITLED "HOW TO BUY
FUND SHARES" AND "SHAREHOLDER SERVICES":
        Fund shares are also offered without regard to the minimum initial
investment requirements through Dreyfus-AUTOMATIC Asset Builder, Dreyfus
Government Direct Deposit Privilege or Dreyfus Payroll Savings Plan pursuant
to the Dreyfus Step Program. These services enable you to make regularly
scheduled investments and may provide you with a convenient way to invest for
long-term financial goals. You should be aware, however, that periodic
investment plans do not guarantee a profit and will not protect an investor
against loss in a declining market.
DREYFUS STEP PROGRAM - Dreyfus Step Program enables you to purchase Fund
shares without regard to the Fund's minimum initial investment requirements
through Dreyfus-AUTOMATIC Asset Builder, Dreyfus Government Direct Deposit
Privilege or Dreyfus Payroll Savings Plan. To establish a Dreyfus Step
Program account, you must supply the necessary information on the Fund's
Account Application and file the required authorization form(s) with the
Transfer Agent. For more information concerning this Program, or to request
the necessary authorization form(s), please call toll free 1-800-782-6620.
You may terminate your participation in this Program at any time by
discontinuing your participation in Dreyfus-AUTOMATIC Asset Builder, Dreyfus
Government Direct Deposit Privilege or Dreyfus Payroll Savings Plan, as the
case may be, as provided under the terms of such Privilege(s). The Fund
reserves the right to redeem your account if you have terminated your
participation in the Program and your account's net asset value is $500 or
less. See "How to Redeem Fund Shares." The Fund may modify or terminate this
Program at any time.
740/s060195