BULL & BEAR FUNDS II INC
24F-2NT, 1996-08-28
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                     U.S. SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


                                   FORM 24F-2
                        Annual Notice of Securities Sold
                             Pursuant to Rule 24f-2


1. Name and address of issuer:  Bull & Bear Funds II, Inc.,  11 Hanover  Square,
New York, NY 10005

2. Name of each series or class of funds for which this notice is filed:  Bull &
Bear Global Income Fund;  Bull & Bear U.S.  Government  Securities  Fund; Bull &
Bear Dollar Reserves

3.  Investment Company Act File Number: 811-2474

    Securities Act File Number:  2-57953

4.  Last day of fiscal year for which this notice is filed:  June 30, 1996

5. Check box if this notice is being filed more than 180 days after the close of
the issuer's  fiscal year for purposes of  reporting  securities  sold after the
close  of  the  fiscal  year  but  before  termination  of  the  issuer's  24f-2
declaration: [ ]

6. Date of  termination  of  issuer's  declaration  under rule  24f-2(a)(1),  if
applicable: N/A

7. Number and amount of  securities  of the same class or series  which had been
registered under the Securities Act of 1933 other than pursuant to rule 24f-2 in
a prior fiscal year,  but which  remained  unsold at the beginning of the fiscal
year: None

8. Number and amount of securities  registered during the fiscal year other than
pursuant to rule 24f-2: 15,030,065

9. Number and aggregate  sales price of securities  sold during the fiscal year:
126,019,893   shares  (including  shares  issued  in  connection  with  dividend
reinvestment) at an aggregate sale price of $131,356,592

10. Number and aggregate sale price of securities sold during the fiscal year in
reliance upon registration pursuant to rule 24f-2: 126,019,893 shares (including
shares issued in connection  with dividend  reinvestment)  at an aggregate  sale
price of $131,356,592

11. Number and aggregate sale price of securities  issued during the fiscal year
in connection with dividend reinvestment plans, if applicable: N/A

12. Calculation of registration fee:

             Aggregate sale price of securities sold:             $131,356,592
             Less cost of shares redeemed or repurchased:         (145,122,578)
             Net aggregate price:                                 (13,765,986)
             Multiplier:                                             1/2900
             Fee due:                                             $     -0-

13. Check box if fees are being remitted to the Commission's  lockbox depository
as  described  in section 3a of the  Commission's  Rules of  Informal  and Other
Procedures: [ ]

Date of mailing or wire  transfer  of filing  fees to the  Commission's  lockbox
depository: N/A


                                   SIGNATURES

         This report has been signed below by the following persons on behalf of
the issuer and in the capacities and on the dates indicated.

                 By: /s/ Joseph Leung, Chief Accounting Officer
                                  Joseph Leung

Date:  August 28, 1996



Arthur J. Brown
(202) 778-9046

                                 August 27, 1996


Bull & Bear Funds II, Inc.
11 Hanover Square
New York, New York  10005

Dear Sir or Madam:

         Bull  &  Bear  Funds  II,  Inc.   ("Company")  is  a  corporation  duly
incorporated  and existing under the laws of the State of Maryland.  The Company
has three series of shares outstanding: Bull & Bear Dollar Reserves, Bull & Bear
Global  Income  Fund  and  Bull &  Bear  U.S.  Government  Securities  Fund.  We
understand  that the  Company is about to file a Rule 24f-2  Notice  pursuant to
Rule 24f-2 under the Investment Company Act of 1940, as amended ("1940 Act") for
the purpose of making  definite  the number of shares of capital  stock which it
has  registered  thereunder  and under the  Securities  Act of 1933,  as amended
("1933  Act") and which it sold in reliance on Rule 24f-2 during its fiscal year
ended June 30, 1996.

         We have,  as counsel,  examined  copies  either  certified or otherwise
proved to be genuine, of the Company's Articles of Incorporation and By-Laws, as
now in effect and other documents  relating to its  organization  and operation.
Based upon the foregoing,  it is our opinion that the shares of capital stock of
the  Company  sold in reliance  upon  registration  under Rule 24f-2  during the
Company's  fiscal year ended June 30, 1996,  the  registration  of which will be
made definite by the filing of a Rule 24f-2 Notice,  were legally issued,  fully
paid and  non-assessable.  We express no opinion as to compliance  with the 1933
Act, the 1940 Act or applicable  state  securities  laws in connection  with the
sales of shares of capital stock.

         We hereby  consent to this opinion  accompanying  the Rule 24f-2 Notice
which you are about to file with the Securities and Exchange Commission.

                                       Sincerely,

                                       KIRKPATRICK & LOCKHART LLP

                                       By: /s/ Arthur J. Brown
                                               Arthur J. Brown


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