DREYFUS CALIFORNIA INTERMEDIATE MUNICIPAL BOND FUND
24F-2NT, 1995-05-26
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               DREYFUS CALIFORNIA INTERMEDIATE MUNICIPAL BOND FUND
                                200 PARK AVENUE
                              NEW YORK, NY  10166




Securities and Exchange Commission
Judiciary Plaza                                               May 26, 1995
450 Fifth Street, NW
Washington, DC  20549


      24f-2 Notice - DREYFUS CALIFORNIA INTERMEDIATE MUNICIPAL BOND FUND
      Registration Statement No. 33-46586 - CIK #885411

Gentlemen:

    On April 16, 1992, the Registration Statement of Dreyfus California
Intermediate Municipal Bond Fund was declared effective by the SEC.  The
Registration Statement represented the Fund's election to register an
indefinite number of shares and this Notice, filed pursuant to Rule 24f-2, is
for the fiscal year ended March 31, 1995.

    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)   Total number of shares sold during
          fiscal year ended 3/31/95 subject
          to registration under Rule 24f-2:      9,727,979      $125,815,273

    (c)   Less shares redeemed during
          fiscal year ended 3/31/95:            14,507,181       185,996,730
                                               -----------      ------------

    Net Sales During Fiscal Year [(b) - (c)]:   (4,779,202)    ($ 60,181,457)
                                               ===========      ============


                                   CALCULATION OF FEE

     Since the shares redeemed exceed the shares sold, no registration fee is
required.  An opinion of counsel is enclosed.

                                                   Very truly yours,

JP/rtj

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


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