BURNHAM FUND INC
497, 1995-06-30
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                             THE BURNHAM FUND INC.
                         SUPPLEMENT DATED JUNE 30, 1995
                     TO THE PROSPECTUS DATED APRIL 28, 1995
 
     The  Fund is  available through the  Charles Schwab &  Company, Inc. Mutual
Fund  Marketplace'r'  and  Institutional OneSource'tm' program. In addition, the
Fund  is  also available through the brokerage firms Waterhouse Securities, Inc.
and  Jack  White  &  Company,  Inc.  Generally,  these  programs  do not require
customers to pay a transaction fee in connection with purchases. These and other
organizations that have entered into agreements  with the Fund or its agent  may
enter confirmed purchase orders on behalf of customers by phone, with payment to
follow  no  later than  the Fund's  pricing  on the  following business  day. If
payment is not received by such time, the organization could be held liable  for
resulting fees or losses. Purchases may be made at net asset value provided such
purchases are placed through a discount broker that maintains an omnibus account
with  the Fund  and such  purchases are  made by  the following:  (1) Investment
Advisors or Financial Planners  who place trades for  their own accounts or  the
accounts  of their clients and who charge  a management, consulting or other fee
for their services and clients of such investment advisors or financial planners
who place trades for their own accounts if the accounts are linked to the master
account of such investment advisor or financial planner on the books and records
of the  broker or  agent; (2)  Retirement and  deferred compensation  plans  and
trusts  used to fund those plans, including but not limited to, those defined in
section 401(a), 403(b)  or 457 of  the Internal Revenue  Code. Investors may  be
charged  a fee if  they effect transactions  in fund shares  through a broker or
agent.

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                              STATEMENT OF DIFFERENCES
                              ------------------------

The registered trademark symbol shall be expressed as 'r'
The trademark symbol shall be expressed as 'tm'




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