DREYFUS PREMIER STATE MUNICIPAL BOND FUND
497J, 2000-09-06
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                                             September 6, 2000




Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C. 20549

Attention:     Filing - Rule 497(j)

     RE:  Dreyfus Premier State Municipal Bond Fund
          Registration Statement File No. 33-10238
          CIK No. 0000806176

Gentlemen:

     Pursuant  to Rule  497(j)  under  the  Securities  Act of 1933,  this is to
certify that the form of Prospectus and Statement of Additional Information that
would have been filed under paragraph (b) or (c) of this section does not differ
from that contained in the most recent amendment,  Post-Effective  Amendment No.
33 to the Registration  Statement,  electronically filed with the Securities and
Exchange Commission on August 25, 2000, effective September 1, 2000.

                                        Very truly yours,




                                        James Bitetto


JB:kwm
Enc.


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