DREYFUS PREMIER STATE MUNICIPAL BOND FUND
497, 1998-12-02
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                                        December 2, 1998


                  Dreyfus Premier State Municipal Bond Fund
              Supplement to Prospectus Dated:  August 28, 1998

The following information supplements and should be read in conjunction with
the information contained in the section of the Fund's prospectus entitled
"How to Buy Shares - Class A Shares."

     Investors who held shares of Dreyfus Premier Insured Municipal Bond Fund
("DPIMBF") on November 16, 1998, the date that DPIMBF was liquidated, may
purchase Class A shares of the Fund at net asset value until January 31,
1999.




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