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


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


      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 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 Class A and Class B in the
aggregate for the Fund's Rule 24f-2 filing for the fiscal year ended April 30,
1994.

    The following information is furnished:

    (a) Shares registered under Securities Act
        of 1933 other than pursuant to Rule 24f(2):                None


                                                  SHARES        DOLLAR AMOUNT

    (b) Aggregate shares sold for Class
        A and Class B during fiscal year
        ended 4/30/94 subject to regis-
        tration under Rule 24f-2:             12,776,950        $191,779,336

    (c) Aggregate shares redeemed for
        Class A and Class B during
        fiscal year ended 4/30/94:             5,782,172          84,193,501
                                             -----------        ------------

     Net Sales During Year [(b) - (c)]         6,994,778        $107,585,835
                                             ===========        ============

                              CALCULATION OF FEE

    Net sales dollar amount of $107,585,835 @ 1/29 of 1% = $37,098.56.

    Funds in the amount of $37,098.56, representing the registration fee, were
wired to CIK #0000797923 on June 20, 1994.  An opinion of counsel is enclosed.


                                                 Very truly yours,
MNJ/ems

cc:  Mr. J. deMichaelis, SEC                     Mark N. Jacobs, Secretary
     Ms. R. McLaughlin, E&Y
     Mr. S. Rosenberg, BONY