PREMIER MUNICIPAL BOND FUND
                         c/o THE DREYFUS CORPORATION
                                200 PARK AVENUE
                              NEW YORK, NY  10166

                                                June 26, 1995


Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, DC  20549

       Rule 24f-2 Notice - PREMIER MUNICIPAL BOND FUND
       Registration Statement No. 33-7496 - CIK #797923

Gentlemen:

    Originally, the Registration Statement of Premier Municipal Bond Fund was
declared effective by the SEC on September 12, 1986.  On January 15, 1993,
Post-Effective Amendment No. 10 to the Fund's Registration Statement, offering
Class A and Class B shares of the Fund, was declared effective by the SEC.
This Amendment represented the Fund's election to register an indefinite
number of shares of each Class and this Notice represents each Class's Rule
24f-2 filing for the fiscal year ended April 30, 1995.

    The following information is furnished:
                                                  CLASS A         CLASS B

    (a) Total number of shares sold during
        fiscal year ended 4/30/95 subject
        to registration under Rule 24f-2,      2,241,162  shs  1,080,646 shs
        and the dollar amount thereof:          $31,060,331     $14,763,131

    (b) Less shares redeemed during
        fiscal year ended 4/30/95,             7,383,625  shs  1,070,587 shs
        and the dollar amount thereof:          $99,967,298     $14,454,418
                                               -------------    -----------
        Net sales (redemptions) during
        fiscal year ended 4/30/95, and        (5,142,463) shs     10,059 shs
        the dollar amount thereof:             ($68,906,967)    $   308,713
                                               =============    ===========


                                   CALCULATION OF FEE

 CLASS OF SHARES                                                  FEE

Class A - Since the shares redeemed exceed the shares sold, no registration
fee is required.

Class B - $308,713 (net sales dollar amount) @ 1/29 of 1% = $106.45.

    Funds in the amount of $106.45, representing the TOTAL registration fee
for Class A and Class B shares sold, were wired to CIK #797923.  An opinion
of counsel is enclosed.


JJP/ems                                            Very truly yours,

cc: Mr. J. deMichaelis, SEC
    Ms. R. McLaughlin, E&Y                         John J. Pyburn
                                                   Assistant Treasurer