BURNHAM FUND INC
485BPOS, 1997-04-29
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As filed with the Securities and Exchange Commission on April 30, 1997
    

                                         REGISTRATION FILE NOS. 2-17226, 811-994



                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
                                  -------------

                                    FORM N-1A

             REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933       [X]

                          PRE-EFFECTIVE AMENDMENT NO.                      [ ]

   
                         POST-EFFECTIVE AMENDMENT NO. 65                   [X]
    

                                     AND/OR

                        REGISTRATION STATEMENT UNDER THE
                         INVESTMENT COMPANY ACT OF 1940                    [X]

   
                                AMENDMENT NO. 27                           [X]
    

                        (Check appropriate box or boxes)


                              THE BURNHAM FUND INC.
               (Exact name of registrant as specified in charter)

    1325 AVENUE OF THE AMERICAS, 17TH FLOOR
              NEW YORK, NEW YORK                                    10019
   (Address of Principal Executive Offices)                      (Zip Code)

                                 (800) 874-FUND
              (Registrant's Telephone Number, Including Area Code)

                                 JON M. BURNHAM
                     1325 AVENUE OF THE AMERICAS, 17TH FLOOR
                            NEW YORK, NEW YORK 10019
                     (Name and Address of Agent for Service)

                                    COPY TO:

                                PHILIP H. HARRIS
                      SKADDEN, ARPS, SLATE, MEAGHER & FLOM
                                919 THIRD AVENUE
                            NEW YORK, NEW YORK 10022

                 Approximate date of proposed public offering:

 It is proposed that this filing will become effective  (check  appropriate box)
<TABLE>
<S>                                                                 <C>

  X  immediately upon filing pursuant to paragraph (b), or         on (date) pursuant to paragraph (b), or
- ----                                                          ----
     60 days after filing pursuant to paragraph (a)(1), or         on (date) pursuant to paragraph (a)(1)
- ----                                                          ----
     75 days after filing pursuant to paragraph (a)(2), or         on (date) pursuant to paragraph (a)(2) of Rule 485.
- ----                                                          ----
</TABLE>
   
     REGISTRANT HAS REGISTERED AN INDEFINITE  NUMBER OF ITS SHARES OF BENEFICIAL
INTEREST  PURSUANT TO RULE 24f-2 UNDER THE  INVESTMENT  COMPANY ACT OF 1940,  AS
AMENDED,  AND HAS FILED A RULE 24f-2  NOTICE  WITH THE  COMMISSION  FOR ITS MOST
RECENT FISCAL YEAR ENDED DECEMBER 31, 1996.
    




 
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<PAGE>



                              CROSS REFERENCE SHEET
                            (AS REQUIRED BY RULE 495)
<TABLE>
<CAPTION>
FORM N-1A
ITEM NO.                                             LOCATION

PART A

<S>        <C>                                                <C>
Item 1.    Cover Page....................................     Cover Page

Item 2.    Synopsis......................................     Fee Table; Hypothetical Investment

Item 3.    Condensed Financial Information...............     Financial Highlights; Performance Information

Item 4.    General Description of Registrant.............     The Fund; The Fund's Investment Objectives and Policies;
                                                              Risk Factors; Organization of the Fund

Item 5.    Management of the Fund........................     Cover Page; The Fund; Management; Distribution;
                                                              Services for Shareholders

Item 5A.   Management's Discussion
           of Fund Performance...........................     Annual Report to Shareholders

Item 6.    Capital Stock and Other Securities............     Net Asset Value, Dividends, Capital Gains 
                                                              Distributions and Taxes; Services for Shareholders;
                                                              Purchase of Shares; Alternative Purchase Arrangements

Item 7.    Purchase of Securities Being Offered..........     Cover Page; Purchase of Shares; Net Asset Value, 
                                                              Dividends, Capital Gains Distributions and
                                                              Taxes; Alternative Purchase Arrangements; 
                                                              Distribution; Services for Shareholders

Item 8.    Redemption or Repurchase......................     Redemption of Shares; Purchase of Shares; Alternative
                                                              Purchase Arrangements

Item 9.    Legal Proceedings.............................     Not Applicable

PART B

Item 10.   Cover Page....................................     Cover Page

Item 11.   Table of Contents.............................     Table of Contents

Item 12.   General Information and History...............     Not Applicable

Item 13.   Investment Objective and Policies.............     Investment Techniques; Investment Restrictions

Item 14.   Management of the Fund........................     Directors and Officers of the Fund
</TABLE>


<PAGE>
<PAGE>


<TABLE>
<CAPTION>
FORM N-1A
ITEM NO.                                             LOCATION

PART B

<S>        <C>                                                <C>
Item 15.   Control Persons and Principal
           Holders of Securities.........................     Directors and Officers of the Fund

Item 16.   Investment Advisory and
           Other Services................................     Investment Management and Other Services;
                                                              Services for Shareholders

Item 17.   Brokerage Allocation and
           Other Practices...............................     Portfolio Turnover and Brokerage

Item 18.   Capital Stock and Other Securities............     Purchase and Redemption of Shares

Item 19.   Purchase, Redemption and Pricing of 
           Securities Being Offered......................     Cover Page; Purchase and Redemption of Shares; 
                                                              Services for Shareholders; Net Asset Value, 
                                                              Dividends, Capital Gains Distributions and Taxes

Item 20.   Tax Status....................................     Net Asset Value, Dividends, Capital Gains 
                                                              Distributions and Taxes

Item 21.   Underwriters..................................     Portfolio Turnover and Brokerage

Item 22.   Calculations of Performance Data..............     Determination of Performance

Item 23.   Financial Statements..........................     Financial Statements
</TABLE>

PART C

           Information required to be included in Part C is set forth under the
appropriate Item, so numbered, in Part C to this Registration Statement.


                                        2


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<PAGE>
                                    BURNHAM
                                     ----
                                     Fund


   THE BURNHAM FUND INC.  (the  "Fund") is a  diversified,  open-end  management
   investment   company  whose   principal   investment   objective  is  capital
   appreciation,   mainly   long-term.   Income  generally  will  be  of  lesser
   importance.


   The Fund offers alternative purchase arrangements that provide investors with
   the option of purchasing shares (i) subject to a front-end sales charge and a
   Rule  12b-1 plan  distribution  fee  ("Class A  shares");  (ii)  subject to a
   contingent  deferred sales charge ("CDSC") if held for less than six years, a
   Rule 12b-1 plan  distribution  fee and a service fee  ("Class B shares");  or
   (iii),  subject  to a CDSC if held for less than one year,  a Rule 12b-1 plan
   distribution fee and a service fee ("Class C shares"). The Fund's multi-class
   distribution  system is described more fully under the headings  "Alternative
   Purchase Arrangements", "Purchase of Shares - Terms of Purchase", "Redemption
   of Shares", and "Distribution - Distribution Plan and Use of Distribution and
   Service Fees".

   The purpose of offering  different  classes of shares is to provide investors
   with options so that each may choose a method of purchasing the Fund's shares
   most suited to his or her  specific  investment  needs and  preferences.  The
   proceeds from the sales of the three  classes of shares are jointly  invested
   in the  Fund's  investment  portfolio.  Each  class of shares  represents  an
   identical interest in the portfolio, except as to class-specific distribution
   related  matters and any other matters  relating only to a particular  class.
   Each class of shares has identical  voting,  dividend,  liquidation and other
   rights except as described in "Alternative Purchase Arrangements".

   Burnham Asset Management Corporation (the "Adviser"), an affiliate of Burnham
   Securities Inc. (the "Distributor"), the Fund's principal distributor, serves
   as the Fund's investment adviser.

   
   This  Prospectus  sets forth concisely the information you should know before
   investing in the Fund. You should read it and keep it for future reference. A
   Statement of  Additional  Information,  dated April 30, 1997,  has been filed
   with the Securities and Exchange  Commission (the  "Commission") and contains
   further  information about the Fund. The Statement of Additional  Information
   is hereby  incorporated by reference into this  Prospectus.  You can obtain a
   copy  without  charge by  contacting  your  account  executive  or  certified
   financial  planner at a dealer  authorized  to sell  shares of the Fund or by
   calling or writing  the  Distributor  at the  telephone  numbers  and address
   below.
    
================================================================================


   MUTUAL FUND SHARES ARE NOT DEPOSITS OR OBLIGATIONS  OF, OR GUARANTEED BY, ANY
   BANK OR OTHER DEPOSITORY  INSTITUTION.  SHARES ARE NOT INSURED BY THE FEDERAL
   DEPOSIT  INSURANCE  CORPORATION,  THE  FEDERAL  RESERVE  BOARD,  OR ANY OTHER
   AGENCY,  AND ARE SUBJECT TO INVESTMENT  RISK,  INCLUDING THE POSSIBLE LOSS OF
   THE PRINCIPAL AMOUNT INVESTED.


   THESE  SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND
   EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION NOR HAS THE SECURITIES
   AND EXCHANGE  COMMISSION OR ANY STATE SECURITIES  COMMISSION  PASSED UPON THE
   ACCURACY OR ADEQUACY OF THIS PROSPECTUS.  ANY  REPRESENTATION TO THE CONTRARY
   IS A CRIMINAL OFFENSE.
   
                             BURNHAM Securities Inc.
                              PRINCIPAL DISTRIBUTOR
                    1325 Avenue of the Americas, 17th Floor,
                            New York, New York 10019

April 30, 1997
    




<PAGE>
<PAGE>

BURNHAM
- ----
 Fund

                                    Fee Table

   
<TABLE>
<CAPTION>
                                                                  CLASS A    CLASS B   CLASS C
                                                                 ------------------------------
<S>                                                                 <C>       <C>       <C>
 Shareholder Transaction Expenses
 Maximum Front-end Sales Charge                                     5.00%(1)  None      None
 Maximum Front-end Sales Charge imposed on Reinvested Dividends     None      None      None
 Maximum Contingent Deferred Sales Charge                           None      5.00%(2)  1.00%(2)

 Annual Fund Operating Expenses
    (as a percentage of average net assets)

 Management Fees                                                    0.63%     0.63%     0.63%
 Distribution Fees(3)                                               0.25%     0.75%     0.75%
 Service Fees                                                       None      0.25%     0.25%
 Other Expenses (after expense reimbursement)                       0.51%     0.51%(4)  0.51%(4)
                                                                  ------    ------    ------
        Total Operating Expenses                                    1.39%     2.14%     2.14%(5)
                                                                  ======    ======    ======
</TABLE>
    

(1) Class A shares have reduced initial sales charges for purchases in excess of
$50,000.  Certain  purchases  of Class A shares of $ 1  million  or more are not
subject to front-end  sales charges,  but a contingent  deferred sales charge is
imposed on the  proceeds of such shares  equal to 1% if the shares are  redeemed
within  the  first  12  months  after  the end of the  calendar  month  of their
purchase,  and .5 of 1% if redeemed within the next 12 months.  See "Purchase of
Shares -- Initial Sales Charges (Class A Shares)".

(2) The  contingent  deferred  sales charge on Class B shares  declines  from 5%
during  the first  year to 0% in the  sixth  year  after  the date of  purchase.
Deferred  sales charge on Class C shares  applies only if a redemption of shares
occurs within 12 months from the purchase date. See "Redemption of Shares".

(3) The National Association of Securities Dealers,  Inc. (the "NASD") imposes a
maximum limit on asset-based  sales charges,  which include  distribution  fees.
Long-term  shareholders may pay more than the economic equivalent of the maximum
front-end sales charges permitted by the NASD. See "Distribution -- Distribution
Plan and Use of Distribution and Service Fees".

   
(4) The Adviser has voluntarily  agreed to reimburse expenses of the Class B and
Class C shares in order to limit  expenses.  The Adviser  reserves  the right to
discontinue  this  policy at any time.  The Adviser  reimbursed  the Class B and
Class C shares $57 and $289, respectively, in 1996.
    

   
(5) The expense information for Class B and Class C shares has been restated  to
reflect  current  fees  that would have been  applicable had they been in effect
during  the  previous  fiscal  year.  Had the  Investment Adviser not  agreed to
reimburse  Class B  and  Class C  shares  for  expenses in excess of the expense
limitation described under "Management",  the ratios of expenses for the periods
ended December 31, 1996 would have been 2.1% and 2.5%, respectively, for Class B
and Class C shares.
    

                             Hypothetical Investment

   
<TABLE>
<CAPTION>
EXAMPLE                                               1 YEAR               3 YEARS              5 YEARS             10 YEARS
                                                  ----------------      ---------------     ---------------     ----------------
SHARE CLASS:                                      A      B       C      A      B      C     A      B      C     A      B      C
                                                  -      -       -      -      -      -     -      -      -     -      -      -
<S>                                              <C>    <C>    <C>    <C>   <C>     <C>   <C>    <C>    <C>    <C>    <C>    <C> 
You would pay the following expenses
on a $1,000 investment, assuming
(1) Payment of the Maximum Sales Charge,
(2) a 5% annual return, and
(3) redemption of shares at the end of the period.
10 YEAR FIGURES FOR CLASS B ASSUME CONVERSION
TO CLASS A SHARES AFTER EIGHT YEARS              $63    $71    $32    $92   $96    $69   $122   $133   $118   $209   $224   $253

You would pay the following expenses 
on the same $1,000 investment, assuming 
(1) Payment  of the  Maximum  Sales  Charge,  
(2) a 5%  annual  return,  and  
(3) no redemptions at the end of the time period.
10 YEAR FIGURES FOR CLASS B SHARES ASSUME CONVERSION

TO CLASS A SHARES AFTER EIGHT YEARS              $63    $21    $22    $92    $66    $69   $122   $113   $118   $209   $224   $253
</TABLE>
    

The purpose of the foregoing table is to assist you in understanding the various
costs  and  expenses  that  an  investor  in the  Fund  will  bear  directly  or
indirectly.  The examples  provided  are  intended to show the dollar  amount of
expenses  that would be incurred over the  indicated  periods on a  hypothetical
$1,000 investment in the Fund, assuming a 5% annual return and assuming that the
Fund's expenses  continue at the rates shown in the table.  However,  the actual
return on an investment in the Fund may be greater or less than 5%. The examples
should not be considered as  representative  of past or future expenses;  actual
expenses may be greater or less than those shown.


2


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<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund

                              Financial Highlights


   
   The  following  table shows,  on a per share basis,  the changes in net asset
value, total return and ratios/supplementary data of the Class A shares for each
of the ten years in the period ended  December 31, 1996, and for the Class B and
Class C shares for the period October 18, 1993 (inception date) through December
31, 1993,  and years ended  December 31, 1994, 1995 and 1996, and may be used to
trace the performance of the shares of the Fund.  Further  information regarding
the Fund's performance is contained in the Fund's Annual  Report to Shareholders
which may be obtained upon request and without charge.
    

   
   The  information  for each of the ten years in the period ended  December 31,
1996  was  audited  by  Coopers  &  Lybrand  L.L.P.,   the  Fund's   independent
accountants.(1)
    

   
<TABLE>
<CAPTION>
                                                                 Class A Shares 
                              ---------------------------------------------------------------------------------------------------
Year ended December 31,        1996      1995      1994      1993      1992      1991      1990      1989(3)   1988       1987
                              -------  --------  --------  --------  --------  --------  ---------  -------  --------   ---------
<S>                           <C>       <C>       <C>       <C>       <C>       <C>       <C>       <C>       <C>       <C>

NET ASSET VALUE,
    Beginning of Year         $23.19    $19.88    $21.86    $21.95    $22.16    $20.01    $23.62    $20.89    $19.58    $21.28
Income from Investment
  Operations
Net Investment Income           0.51      0.71      0.75      0.81      0.88      1.07      1.19      1.25      0.19      0.85
Net Gains or Losses on
Securities (both realized
    and unrealized)             3.36      3.91     (1.15)     1.11      0.69      2.36     (1.62)     3.23      1.09      0.67
                              ---------------------------------------------------------------------------------------------------
Total from Investment
    Operations                  3.87      4.62     (0.40)     1.92      1.57      3.43     (0.43)     4.48      2.28      1.52

LESS DISTRIBUTIONS
Dividends (from net
    investment income)         (0.55)    (0.75)    (0.87)    (0.90)    (1.12)    (1.06)    (1.24)    (1.25)    (0.75)     (1.07)
Distributions (from
    capital gains)             (0.86)    (0.56)    (0.71)    (1.11)    (0.66)    (0.22)    (1.94)    (0.50)    (0.22)     (2.15)
                              ---------------------------------------------------------------------------------------------------
    Total Distributions        (1.41)    (1.31)    (1.58)    (2.01)    (1.78)    (1.28)    (3.18)    (1.75)    (0.97)     (3.22)
                              ---------------------------------------------------------------------------------------------------

Net Asset Value, End of Year  $25.65    $23.19    $19.88    $21.86    $21.95    $22.16    $20.01    $23.62    $20.89     $19.58
                              ===================================================================================================
Total Return(2)                17.60%    24.45%    (1.77%)    9.35%     7.70%    17.98%    (1.76%)   22.75%    11.89%      6.69%
                              ---------------------------------------------------------------------------------------------------
RATIOS/SUPPLEMENTAL DATA
Net Assets (in $millions),
    End of Year                117.4     112.0     101.8     118.5     117.2     125.4     123.7     161.3     184.7      200.6 
Ratio of Expenses (net)
    to Average Net Assets        1.3%      1.5%      1.5%      1.5%      1.2%      1.1%      1.2%      1.2%      1.1%       1.0%
Ratio of Net Income to
    Average Net Assets           2.1%      3.3%      3.7%      3.7%      4.1%      5.0%      5.6%      5.3%      5.6%       3.9%
Average Commission Rate(5)      0.07        --        --        --        --        --        --        --        --         -- 
Portfolio Turnover Rate         61.5%     78.3%     87.9%     54.1%     68.5%    120.8%    107.4%     92.5%     94.4%     121.2%

<CAPTION>
                                                Class B                                     Class C
                                                Shares                                      Shares
                             --------------------------------------------   --------------------------------------------
Year ended December 31,        1996       1995       1994       1993*`D'`D'   1996        1995       1994        1993*`D'`D'
                             --------  ----------  ----------  ----------   ---------  ----------  ----------  ---------
<S>                         <C>        <C>        <C>        <C>         <C>         <C>         <C>             <C>
NET ASSET VALUE,
    Beginning of Year        $23.45    $19.94     $21.84     $22.17           $23.10      $19.89      $21.87      $22.17
Income from Investment
Operations
Net Investment Income          0.21      0.41       0.49       0.13             0.29        0.54        0.72        0.15
Net Gains or Losses on
Securities (both realized
    and unrealized)            3.69      4.10      (1.04)     (0.46)            3.37        3.91       (1.15)      (0.45)
                             --------------------------------------------------------------------------------------------
Total from Investment
    Operations                 3.90      4.51      (0.55)     (0.33)            3.66        4.45       (0.43)      (0.30)

LESS DISTRIBUTIONS
Dividends (from net
    investment income)        (0.18)    (0.44)     (0.64)       -0-            (0.21)     (0.68)      (0.84)         -0-
Distributions (from
    capital gains)            (0.86)    (0.56)     (0.71)       -0-            (0.86)     (0.56)      (0.71)         -0-
                             --------------------------------------------------------------------------------------------

    Total Distributions       (1.04)    (1.00)     (1.35)       -0-            (1.07)     (1.24)      (1.55)         -0-
                             --------------------------------------------------------------------------------------------

Net Asset Value, End of Year $26.31    $23.45     $19.94     $21.84            $25.69     $23.10      $19.89       $21.87
                             ============================================================================================
Total Return(2)               17.34%    23.54%     (2.52%)    (1.49%)           16.56%     23.51%      (1.95%)      (1.35%)
                             --------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA
Net Assets (in $millions),
    End of Year                1.0       0.6        0.3        0.2               0.00**      0.0**       0.0**        0.0**
Ratio of Expenses (net)
    to Average Net Assets(4)   2.1%      2.2%       2.3%       2.2%`D'           2.2%        2.3%        1.5%         1.5%`D'
Ratio of Net Income to
    Average Net Assets         1.3%      2.5%       2.9%       3.9%`D'           1.2%        2.5%        3.6%         3.5%`D'
Average Commission Rate(5)    0.07        --         --         --              0.07          --          --           --
Portfolio Turnover Rate       61.5%     78.3%      87.9%      54.1%             61.5%       78.3%       87.9%        54.1%
</TABLE>
    

*    The Fund  commenced  offering  Class B shares and Class C shares on October
     18,  1993. `D' Annualized.  `DD' Based  on  average  shares  outstanding.
     ** Less than $100,000 of net assets.
(1)  The information for each of the last five years has been audited by Coopers
     & Lybrand  L.L.P.,  whose  unqualified  report  thereon is  included in the
     Fund's Annual Report to  Shareholders,  which is  incorporated by reference
     into the Statement of Additional Information.  The remaining figures, which
     have also been audited, are not covered by the accountants' current report.
(2)  Total return does not reflect the maximum  initial  sales charge on Class A
     shares.

(3)  At the close of business on September 6, 1989,  the  management of the Fund
     was assumed by Burnham Asset Management  Corporation,  see "Management".  

   
(4)  Had the  Investment  Adviser  not agreed to  reimburse  Class B and Class C
     shares for  expenses  in excess of the  expense  limitation,  the ratios of
     expenses for the periods ended December 31, 1996, 1995 and 1994 would  have
     been 2.1%, 2.5% and 2.5%  for Class B shares, and 2.5%, 2.5% and  2.5%  for
     Class C shares, respectively.
    

   
(5)  Disclosure effective for fiscal year 1996 and all periods thereafter.

    

                                                                               3

 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund


                                    The Fund

   The  Burnham  Fund Inc. is an  open-end,  diversified  management  investment
company.  The Fund's shares are sold on a continuous  basis and the Fund invests
the  proceeds  from the sale of its shares in a portfolio  of  securities.  This
permits the Fund's shareholders to combine their investments in a professionally
managed portfolio  consisting of many different  securities.  Set forth below is
information  concerning the  investment  objectives and policies of the Fund and
the alternative  arrangements  for purchases and redemptions  based on the three
classes of shares  currently  offered  by the Fund.  The shares of each class of
shares offered by the Fund represent interests in the same underlying  portfolio
of securities.

                              The Fund's Investment
                             Objectives and Policies

INVESTMENT  OBJECTIVES.  The Fund's  principal  investment  objective is capital
appreciation,  mainly long-term.  Income generally will be of lesser importance.
The Fund may invest in securities without regard to income when, in the judgment
of the Adviser,  such investments have a greater potential for growth.  The Fund
may invest in income-producing securities without limitation if, in the judgment
of the Adviser,  market or general economic  conditions warrant greater emphasis
on income  either as a  temporary  defensive  position  or because  the  Adviser
determines  that,  for a given  period of time,  greater  overall  growth may be
realized  through  investment in  income-producing  securities.  There can be no
assurance that the Fund's investment objectives will be achieved.


INVESTMENT  POLICIES.  The Fund's  investments  normally  will consist of common
stock or  convertible  securities,  including  convertible  preferred  stock and
convertible  debentures,  and readily  marketable  securities such as rights and
warrants which derive their value from common stock.  However,  when the Adviser
determines  that a temporary  defensive  position is  warranted  or that greater
overall  growth  may  be  realized   through   investment  in   income-producing
securities,  it may invest without  limitation in fixed income  securities.  The
Fund seeks to achieve  its  income  objective  by  investing  in various  income
producing  securities  including,  but not limited to,  dividend  paying  equity
securities  and fixed income  securities.  The portion of the Fund invested from
time to time in equity  securities,  fixed  income  securities  and money market
securities will vary depending on market  conditions,  and there may be extended
periods of time when the Fund is primarily invested in one of them. In addition,
the amount of income generated from the Fund will fluctuate  depending on, among
other things,  the  composition of the Fund's holdings and the level of interest
and dividend  income paid on those  holdings.  Investments  in common  stocks in
general are subject to market  risks that may cause  their  prices to  fluctuate
over  time.  Therefore,  an  investment  in the  Fund may be more  suitable  for
long-term investors who can bear the risk of these  fluctuations.  For temporary
defensive  purposes,  the Fund may also invest in cash items.  The Fund will not
concentrate  more than 25% of the value of its total assets in any one industry.
As a diversified  fund, it will invest at least 75% of its total assets in cash,
cash items and government  securities and in other securities which represent an
investment of no more than 5% of the value of the Fund's total assets in any one
issuer.


   The Fund's investment  objectives and policies are fundamental and may not be
changed without approval of the holders of a majority of the Fund's  outstanding
voting securities,  as defined in the Investment Company Act of 1940, as amended
(the "1940 Act"),  as the lesser of either (i) 67% or more of the Fund's  voting
securities  present at a meeting of shareholders if the holders of more than 50%
of the Fund's outstanding voting securities are present or represented by proxy,
or (ii) more than 50% of the Fund's outstanding voting securities.


   In addition to common stocks and other securities  referred to in "Investment
Policies" herein,  the Fund may make the following  investments.  For additional


4

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund

information on the following investments and on other types of investments which
the Fund may make, see the Statement of Additional Information.


ILLIQUID  SECURITIES.  The Fund may  invest  up to 10% of its  total  assets  in
illiquid  securities,  which are  securities  that cannot be expected to be sold
within seven days at  approximately  the price at which they are valued.  Due to
the absence of an active trading market,  the Fund may experience  difficulty in
valuing or  disposing  of  illiquid  securities.  The Adviser  will  monitor the
liquidity of the securities,  under supervision of the Board of Directors of the
Fund. Securities that have legal or contractual  restrictions on resale but have
a  readily  available  market  are not  deemed  illiquid  for  purposes  of this
limitation.


RESTRICTED  SECURITIES  AND  RULE  144A  SECURITIES.  The  Fund  may  invest  in
restricted securities and Rule 144A securities.  Restricted securities cannot be
sold to the public  without  registration  under the Securities Act of 1933 (the
"1933 Act").  Unless  registered for sale,  these securities can be sold only in
privately negotiated transactions or pursuant to an exemption from registration.
Restricted securities are generally illiquid. Rule 144A securities, although not
registered,  may be resold to qualified  institutional buyers in accordance with
Rule  144A  under the 1933 Act.  The  Adviser,  acting  pursuant  to  guidelines
established  by the Board of  Directors,  may  determine  that  some  restricted
securities are liquid.


FOREIGN  SECURITIES.  The Fund may  invest  up to 15% of the  value of its total
assets in foreign securities.  Foreign securities are those of issuers organized
and doing business  principally  outside the United States,  including  non-U.S.
governments,  their agencies and instrumentalities.  The 15% limitation does not
apply to foreign  securities  that are  denominated in U.S.  dollars,  including
American Depository Receipts ("ADRs").  Investments in foreign securities may be
subject,  among other things,  to adverse or unfavorable  changes resulting from
changed  economic or monetary  policies  in this  country or abroad,  or changed
conditions in dealings between nations.  Foreign companies may not be subject to
accounting standards or governmental  supervision  comparable to U.S. companies,
and there may be less public  information about their  operations.  In addition,
foreign  markets may be less liquid or more volatile  than U.S.  markets and may
offer less protection to investors.


OPTIONS CONTRACTS. The Fund may write covered call options, buy put options, buy
call options and write put options,  without  limitation except as noted in this
paragraph.  Such  options  may  relate to  particular  securities  or to various
indexes  and may or may not be  listed on a  national  securities  exchange  and
issued by the Options Clearing Corporation.  The Fund may invest up to 4% of the
value of its net assets in such instruments.


   Options trading is a highly  specialized  activity which entails greater than
ordinary  investment  risks.  A call option for a particular  security gives the
purchaser of the option the right to buy, and the writer the obligation to sell,
the  underlying  security at the stated  exercise price at any time prior to the
expiration of the option,  regardless  of the market price of the security.  The
premium paid to the writer is in  consideration  for undertaking the obligations
under the option  contract.  A put option for a  particular  security  gives the
purchaser the right to sell the underlying security at the stated exercise price
at any time prior to the expiration date of the option, regardless of the market
price of the  security.  In contrast to an option on a particular  security,  an
option on an index  provides the holder with the right to make or receive a cash
settlement  upon exercise of the option.  The amount of this  settlement will be
equal to the  difference  between the closing  price of the index at the time of
exercise and the  exercise  price of the option  expressed  in dollars,  times a
specified   multiple.   Transactions  in  option  contracts   generally  involve
short-term trading that may cause higher than usual portfolio turnover rates.


REPURCHASE AGREEMENTS.  In a repurchase agreement, the Fund buys a security from
a  Federal  Reserve 




                                                                               5

 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund

member  bank and  simultaneously  agrees to sell back such  security at a higher
price,  at a specified  date,  usually  less than a week later.  The  underlying
securities must fall within the Fund's investment policies and limitations.  The
use of repurchase agreements involves certain risks. For example, in the event a
seller of securities  under a repurchase  agreement  defaults on its  repurchase
obligation,  the Fund might suffer a loss to the extent that the  proceeds  from
the sale of the collateral  were less than the repurchase  price.  If the seller
becomes  the  subject of  bankruptcy  proceedings,  the Fund might be delayed or
incur additional  costs in selling the collateral.  To minimize these risks, the
Fund  requires  continual  maintenance  of  collateral  with the Custodian in an
amount equal to, or in excess of, the market value of the  securities  which are
the subject of a repurchase  agreement plus any accrued  interest.  The Fund may
invest temporarily up to 5% of its total assets in repurchase agreements.


                              Alternative Purchase
                                  Arrangements

   The Fund offers Class A, Class B and Class C shares to all investors. Class A
shares are sold with an initial  sales charge that  declines for larger  orders.
Purchases  of $1 million  or more of Class A shares are sold  without an initial
sales charge but are subject to a contingent  deferred  sales charge if held for
less than two years. Class B shares are sold without an initial sales charge but
are  subject  to a CDSC if held for  less  than six  years.  Class B shares  are
available to investors  purchasing less than $250,000 in the aggregate.  Class C
shares are sold  without an initial  sales  charge but are  subject to a CDSC if
held for  less  than  one  year.  Class C shares  are  available  for  investors
purchasing less than $1 million in the aggregate.  Each class is described below
in greater detail.  The different  classes of the Fund provide the investor with
alternative  purchase  methods  of  acquiring  shares  and the  investor  should
determine which class is best suited to his specific needs and preferences.

   Dealers may be compensated at different rates for selling Class A, Class B or
Class C shares.

CLASS A SHARES.  Class A shares are sold at net asset value plus a sales  charge
of up to 5% at the time of purchase. This initial sales charge may be reduced or
waived for certain  purchases  (see  "Purchase of  Shares").  Class A shares are
subject to a  distribution  fee at an annual rate of 0.25% of the average  daily
net asset value of the Class A shares.


CLASS B  SHARES.  Class B shares  are sold at net  asset  value  without a sales
charge at the time of  purchase.  If shares are  redeemed  within six years from
their date of purchase,  the investor  will be subject to a CDSC up to a maximum
of 5% of the net asset  value of such  shares at the time of purchase or the net
asset value of such shares at the time of  redemption,  whichever  is lower (see
"Class B Shares Purchases").  Class B shares are only available to investors who
purchase less than $250,000.  Class B shares are subject to a  distribution  fee
and a service  fee of 0.75% and 0.25% per annum,  respectively,  of the  average
daily net asset value of the Class B shares.  Class B shares will  automatically
convert to Class A shares of the Fund eight years after the end of the  calendar
month in which the purchase order was accepted, on the basis of the relative net
asset  values  of  the  two  classes,  subject  to  the  terms  described  under
"Conversion of Class B shares".

CLASS C SHARES.  Class C shares are sold at net asset  value  without an initial
sales  charge.  If shares  are  redeemed  within 12 months  from  their  date of
purchase, the investor will be subject to a CDSC of 1% of the net asset value of
such shares at the time of purchase or the net asset value of such shares at the
time of  redemption,  whichever is lower.  Class C shares are only  available to
investors  purchasing  less than  $1,000,000.  Class C shares  are  subject to a
distribution  fee and a service fee of 0.75% and 0.25% per annum,  respectively,
of the average daily net asset value of the Class C shares.

   The alternative purchase arrangements permit an investor to choose the method
of  purchasing  shares  that is most  beneficial  given  the  length of time the
investor may expect to hold the shares, the investor's 


6

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund

expected  overall  level of  investment  in the Fund  and  other  circumstances.
Investors   should  consider  whether  during  the  anticipated  life  of  their
investment  in  the  Fund  the   accumulated   distribution   and  service  fees
attributable  to Class B and Class C shares would be less than the initial sales
charge and accumulated  distribution  fees of Class A shares if purchased at the
same  time.  The  prospective  investor  should  consider  these  fees  plus the
applicable  sales  charge  alternatives  in  choosing  the method of  purchasing
shares. The tables under the captions "Fee Table" and "Hypothetical  Investment"
set forth examples of the fees and expenses applicable to each class of shares.


   Class A shares are  subject to lower  ongoing  distribution  fees and, to the
extent that dividends are paid, will have greater per share dividends than Class
B and Class C shares,  which have higher ongoing  expenses.  The deduction of an
initial  sales charge at the time of purchase of Class A shares,  however,  will
result in the investor not having all of his funds invested  initially,  and the
investor will own fewer shares  initially than if Class B or Class C shares were
purchased.  Certain  investors may determine  that it would be  advantageous  to
purchase  Class B and Class C shares in order to have all their  funds  invested
initially, although remaining subject to higher ongoing expenses. Class A shares
with an initial sales charge may be more desirable for investors who qualify for
significantly  reduced sales charges or who expect to hold their investments for
an extended period of time.


   The proceeds from sales of the three  classes of shares are jointly  invested
in the same  portfolio of  investments  of the Fund.  The classes have identical
voting,  dividend,  liquidation and other rights, except (1) the amount of sales
charges and the amount and type of fees permitted by the different  distribution
and service  plans;  (2) voting rights on matters  concerning  Rule 12b-1 plans,
related service agreements and any other miscellaneous  matters relevant only to
a particular  class, as opposed to the Fund generally;  (3) each class of shares
bears any expenses that the Fund's Board of Directors  (the "Board" or "Board of
Directors")  determines should be allocated or charged on a class basis; (4) the
designation  of such  classes;  (5) the fact that a class may have a  conversion
feature; and (6) different exchange privileges for different classes.

   For further  information  regarding the Rule 12b-1  distribution plans of the
respective  classes,  reference is hereby made to  "Distribution  - Distribution
Plan".

                                  Risk Factors

   There  are  two  types  of  risk  generally  associated  with  owning  equity
securities:  market risk and financial risk.  Market risk is the risk associated
with the movement of the stock market in general.  Financial  risk is associated
with the  financial  condition  and  profitability  of the  underlying  company.
Smaller  capitalization  companies may experience higher growth rates and higher
failure rates than do larger  capitalization  companies.  The trading  volume of
securities  of smaller  capitalization  companies is normally  less than that of
larger capitalization  companies and, therefore,  may disproportionately  affect
their market price,  tending to make them rise more in response to buying demand
and fall more in  response  to  selling  pressure  than is the case with  larger
capitalization companies.

   There are two types of risk associated with owning debt securities:  interest
rate risk and credit risk.  Interest rate risk relates to fluctuations in market
value arising from changes in interest  rates. If interest rates rise, the value
of debt securities  will normally  decline and if interest rates fall, the value
of debt securities will normally increase.  All debt securities,  including U.S.
Government   securities,   which  are  generally   considered  to  be  the  most
creditworthy  of all debt  obligations,  are  subject  to  interest  rate  risk.
Securities with longer maturities generally will have a more pronounced reaction
to interest rate changes than shorter term securities.

   Credit risk  relates to the ability of the issuer to make  periodic  interest
payments and ultimately repay principal at maturity. Bonds rated Baa3 by Moody's
Investors Services Inc. ("Moody's") or 



                                                                               7

 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund

BBB- by Standard & Poor's  Corporation  ("S&P"),  are  described by those rating
agencies  as having  speculative  elements.  If a debt  security  is rated below
investment  grade by one rating  agency and as  investment  grade by a different
rating agency,  the Adviser will make a determination  as to the debt security's
investment grade quality.  The Adviser currently has no pre-set limits as to the
percentage of the Fund's  portfolio which may be invested in equity  securities,
debt  securities   (including  "junk  bonds"  as  described   below),   or  cash
equivalents. The Adviser's opinions are based upon analysis and research, taking
into account,  among other  factors,  the  relationship  of book value to market
value of the  securities,  cash flow and  multiples  of earnings  of  comparable
securities.

   Debt  securities  in which  the Fund  invests  (such  as  corporate  and U.S.
government  bonds,  debentures  and  notes)  may or may not be rated  by  rating
agencies such as Moody's or S&P,  and, if rated,  such rating may range from the
very highest to the very lowest,  currently C for Moody's and D for S&P.  Medium
and lower-rated debt securities in which the Fund expects to invest are commonly
known as "junk bonds".  The Fund may be subject to investment  risks as to these
unrated or lower rated  securities  that are greater in some  respects  than the
investment  risks  incurred by a fund which invests only in securities  rated in
higher categories.  In addition, the secondary market for such securities may be
less liquid and market  quotations  less  readily  available  than higher  rated
securities,  thereby  increasing  the degree to which  judgment  plays a role in
valuing  such  securities.  The general  policy of the Fund is to invest in debt
securities,  including  junk  bonds,  for the same  reasons  as  investments  in
equities.  Consequently,  the  Adviser's  own  analysis  of  a  debt  instrument
exercises  a greater  influence  over the  investment  decision  than the stated
coupon rate or credit rating.  Although such debt  securities may pose a greater
risk than higher rated debt securities of loss of principal, the debt securities
of reorganizing or restructuring  companies  typically rank senior to the equity
securities of such companies. See "Investment Techniques - Medium to Lower Rated
Corporate Debt Securities" in the Statement of Additional Information.

   The Fund is authorized to lend portfolio securities,  borrow money from banks
as a temporary measure for extraordinary or emergency  purposes in an amount not
to exceed 10% of the value of the Fund's total  assets,  and pledge up to 15% of
the value of its total assets to secure such borrowings. The Fund has no current
intention to engage in such activities to an extent exceeding 5% of the value of
the Fund's total assets.



   Investors are advised to read the Statement of Additional  Information  for a
more complete  description of the securities in which the Fund invests and their
risks.

                       Net Asset Value, Dividends, Capital
                         Gains Distributions and Taxes

NET ASSET VALUE.  The Fund's net asset value per share is calculated  separately
for each  class of shares  once daily as of the close of trading on the New York
Stock  Exchange (the "NYSE")  (excluding  days on which the NYSE is closed).  In
general, the net asset value per share is determined by adding the current value
of the  Fund's  portfolio  securities  and all  other  assets,  subtracting  its
liabilities,  and dividing the remainder by the number of the Fund's outstanding
shares. The total of such liabilities allocated to a particular class, plus that
class'  distribution fee and any other expenses  specifically  allocated to that
class are then  deducted  from the class'  proportionate  interest in the Fund's
assets,  and the  resulting  amount  for each  class is divided by the number of
shares of that class  outstanding  to produce  the "net asset  value" per share.
Because of  certain  expenses  attributable  only to Class B and Class C shares,
e.g.,  a higher  distribution  fee, a service  fee,  and certain  class-specific
expenses that may exceed those allocated to the other classes (see  "Alternative
Purchase  Arrangements"),  the net  income  attributable  to and  the  dividends
payable  on  



8

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund

Class B and Class C shares will be lower than the net income attributable to and
the dividends payable on Class A shares.  For additional  information  regarding
the  computation of net asset value,  see "Net Asset Value,  Dividends,  Capital
Gains Distributions and Taxes -- Net Asset Value" in the Statement of Additional
Information.

   Portfolio  securities are valued at market value if quotations are available,
at fair  value  as  determined  in good  faith  by the  Board  of  Directors  if
quotations are not readily available or circumstances  otherwise warrant,  or in
some cases at cost.

DIVIDENDS.  In  addition  to any  increase in the value of shares as a result of
increases  in the value of the Fund's  investments,  the Fund may earn income in
the form of dividends and interest on its  investments.  It is the Fund's policy
to  distribute   substantially  all  of  this  income,  less  expenses,  to  its
shareholders  quarterly.  Unless cash  dividends are requested by  shareholders,
dividends are automatically reinvested in additional shares of the same class of
shares at net asset value on the ex-dividend date.

CAPITAL  GAINS  DISTRIBUTIONS.  Capital  gains or losses  are the  result of the
Fund's sales of its portfolio securities at prices that are higher or lower than
the prices paid by the Fund for such securities.  Generally,  total profits from
such sales,  less losses,  represent net capital gain. The Fund  distributes net
capital gains, if any, to shareholders  annually.  Unless cash distributions are
requested  by  shareholders,   capital  gains  distributions  are  automatically
reinvested in  additional  shares of the same class of shares at net asset value
on the ex-dividend date.


TAXES.  The Fund has qualified and intends to continue to qualify as a regulated
investment  company under  Subchapter M of the Internal Revenue Code of 1986, as
amended (the  "Code").  Accordingly,  no Federal  income or excise taxes will be
payable by the Fund so long as it annually distributes  substantially all of its
investment  company taxable income and net capital gains. For Federal income tax
purposes,  the Fund's  distributions  of net  investment  income and  short-term
capital gains are treated in the hands of the  shareholders as ordinary  income,
and  distributions of long-term  capital gains are treated as long-term  capital
gains, whether paid in cash or reinvested in additional Fund shares.  Tax-exempt
shareholders  will not be  required  to pay tax on amounts  distributed  to them
unless the purchase of their shares is debt-financed. A dividend declared by the
Fund in October,  November or December of any calendar year (but not distributed
in that year),  payable to  shareholders of record on a specified date in such a
month,  will be deemed to have been received by the  shareholders on December 31
of such  calendar  year  provided that the dividend is actually paid by the Fund
during  January of the following  year.  Ordinary  income  distributions  may be
eligible  in  part  for the  70%  dividends  received  deduction  for  corporate
shareholders.  Any loss with  respect to shares that were held for six months or
less will be treated as a long-term  capital loss to the extent of any long-term
capital gains distributions  received from the Fund with respect to such shares.
Distributions   and  the  proceeds  of  redemptions   may  in  certain   limited
circumstances be subject to backup  withholding at the rate of 31%. For a fuller
description  of  tax  consequences  to  shareholders,   see  "Net  Asset  Value,
Dividends,  Capital Gains Distributions and Taxes - Taxation of Shareholders" in
the Statement of Additional Information.

                               Purchase of Shares

   

TERMS OF PURCHASE.  The Fund's shares are sold on a continuous basis.  Investors
in all  three  classes  of shares  may open an  account  by  making  an  initial
investment of $1,000.  Subsequent  investments of at least $250 may be made. The
minimum in each instance is waived for an individual retirement account ("IRA").
There are no minimums for shares  purchased under an Automatic  Investment Plan.
The Fund reserves the right to waive or change  minimums or to decline any order
to purchase its shares. Sales of all classes will be suspended during any period
when the determination of the net asset value is suspended, 
    

                                                                               9

 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund

and may be suspended  by the Board of  Directors of the Fund  whenever the Board
judges it to be in the best  interest of the Fund to do so.  Share  certificates
will be issued only upon a  shareholder's  written  request to the Fund. IRAs or
other  tax-qualified  retirement  plans approved by the Internal Revenue Service
are available from the Fund or the Distributor.

   You may make purchases either through the Distributor or other  participating
dealers,  or directly  through the Fund's transfer agent,  State Street Bank and
Trust Company ("State  Street").  Shares may be purchased on any day the NYSE is
open for business. Shares are entitled to dividends beginning on the trade date,
the day the purchase order is received.


   The Fund is available  through the Charles  Schwab & Co., Inc.  Institutional
Mutual  Fund  OneSource(R)  program.  In  addition,  the Fund is also  available
through the discount 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  or sales,  except  in  certain
circumstances.  These and other  organizations that have entered into agreements
with the Fund or its agent may enter  purchase  orders on behalf of customers by
phone,  with payment to follow no later than the Fund's pricing on the following
business day.  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
accounts  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 and  "rabbi
trusts".


   Your check or money order should be forwarded to the  Distributor  or to your
participating  dealer.  Orders  received  by the  Distributor  or  participating
dealers  prior to the close of regular  trading on the NYSE are confirmed at the
public  offering  price  determined  on that  day,  provided  that the  order is
received  by the  Distributor  prior to the  Distributor's  close  of  business.
Payment for Fund shares  currently  is due on the third  business  day after the
trade date (the "settlement  date").  Because the Distributor or your securities
dealer will forward  purchasers'  funds on the  settlement  date, it may benefit
from  the  temporary  use of  funds  where  payment  is made to it  prior to the
settlement  date. A confirmation  statement of the purchase will be forwarded by
the Fund to the shareholder.

   
TRANSFER  AGENT.  Shareholder  Servicing  Agent and Dividend Distributing Agent.
State Street serves as the Fund's transfer  agent, shareholder  servicing  agent
and dividend  distributing agent. State Street has delegated to Boston Financial
Data Services, Inc. ("BFDS"),  a  50%  owned  subsidiary,  responsible  for  the
shareholder servicing and dividend distributing functions. You may contact  BFDS
for shareholder inquiries, toll free at 1-800-462-2392.
    

   
PURCHASES THROUGH STATE STREET.  Send  your  purchase  order  (by  means of  the
Fund's  Application  Form attached to this  Prospectus)  along with  your  check
or money  order  payable to

- --------------------------------------------------------------------------------
 "STATE STREET BANK AND TRUST COMPANY"  TO  THE  BURNHAM  FUND  INC.,  [NAME  OF
CLASS],  C/O  STATE  STREET  BANK  AND  TRUST  COMPANY,  P.O. BOX 8505,  BOSTON,
MASSACHUSETTS 02266-8505.
- --------------------------------------------------------------------------------

All  purchases  made by check  should be in U.S.  dollars  and made  payable  to
The Burnham Fund Inc.  or State  Street Bank  and  Trust  Company.  Third  party
checks which are payable to  an  existing shareholder  of  The  Burnham Fund who
is a natural   person   (as   opposed  to  a corporation  or  partnership)   and
endorsed  over to the Fund  or  State  Street Bank and Trust  Company  will  not
be accepted.  When purchases are made by check or periodic automatic investment,
redemptions  will  not  be allowed until the investment being redeemed  has been
in the  account  for  fifteen  (15) business days. Orders sent directly to State
Street,  with payment, will be executed at the offering  price  next  determined
after the order is accepted.
    


INITIAL SALES CHARGES (CLASS A SHARES).  Class A shares are sold at an "Offering
Price" (equal to net asset value plus the initial  sales  charge)  applicable to
purchases made at one time by a single purchaser,  by an individual,  his or her
spouse and their children  under age 21, or by a single trust account,  based on
the net 



10

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund

asset value per share plus a maximum  initial sales charge of 5% of the Offering
Price,  which  declines to 0% of the Offering  Price,  depending upon the amount
invested, as follows:


<TABLE>
<CAPTION>
                                                                                 DEALER CONCESSION
                                         AS A % OF             AS A % OF             AS A % OF
                                      OFFERING PRICE           NET ASSET          OFFERING PRICE
                                         OF SHARES          VALUE OF SHARES          OF SHARES
AMOUNT INVESTED                          PURCHASED             PURCHASED            PURCHASED*
- ----------------------------------------------------------------------------------------------
<S>                                       <C>                   <C>                   <C>  
Less than $50,000..........................5.00%                5.26%                 4.50%
$50,000 but less than $100,000.............4.50%                4.71%                 4.00%
$100,000 but less than $250,000............4.00%                4.17%                 3.50%
$250,000 but less than $500,000............3.00%                3.09%                 2.75%
$500,000 but less than $1,000,000..........2.00%                2.04%                 1.75%
$1,000,000 or more**.......................0.00%                0.00%                 0.00%
</TABLE>

* The entire  sales  charge may be  re-allowed  to dealers who  achieve  certain
levels of sales or who have rendered  coordinated  sales support  efforts.  Such
dealers may be deemed to be "underwriters."
**See "Purchases of Class A Shares of $1 Million or More".

PURCHASES  OF CLASS A SHARES OF $1 MILLION  OR MORE.  On  purchases  by a single
purchaser  aggregating  $1 million or more, the investor will not pay an initial
sales charge, and the distributor will pay authorized dealers an amount equal to
1% of the  first  $2  million  of such  purchases,  plus .8 of 1% of the next $1
million, plus .40 of 1% on amount over $3 million. A CDSC will be imposed on the
proceeds of the redemptions of shares purchased  aggregating $ 1 million or more
if they are redeemed  within 24 months of the end of the calendar month of their
purchase,  in an amount equal to 1% if the redemption occurs within the first 12
months  and  equal  to .50 of 1% if the  redemption  occurs  within  the next 12
months,  of the  lesser of (a) the net asset  value of the shares at the time of
purchase or (b) the net asset value of the shares at the time of redemption. The
CDSC will be deducted  from the  redemption  proceeds  otherwise  payable to the
shareholders and will be retained by the Distributor.


WAIVERS OF SALES CHARGE (CLASS A SHARES). Class A shares may be purchased at net
asset value,  without an initial sales  charge,  by or on behalf of any officer,
director,  account executive or full-time employee (or a member of the immediate
family of any such person) of the Fund, the Adviser or the  Distributor,  or any
company  affiliated with the Adviser or the  Distributor,  or by or on behalf of
any employee (or a member of the  immediate  family of any employee) of any NASD
member.   Class  A  shares   purchased  by  any  employees'   trusts,   pension,
profit-sharing  or other employee  benefit plan for employees of the Distributor
and its  affiliates  or of any NASD  member  are sold at their net asset  value,
without  an  initial  sales  charge.  The sales  charge  will also be waived for
individuals  purchasing Class A shares with the proceeds of  distributions  from
tax-deferred savings plans and retirement plans such as an Individual Retirement
Account ("IRA") or a Simplified Employee Pension IRA ("SEP-IRA").  However,  any
such Class A shares  redeemed  within 90 days of  purchase  will be subject to a
sales charge (payable upon redemption to the  Distributor) at the rate otherwise
applicable  to  purchases  of the Class A shares on the  lesser of the net asset
value of such  shares at the time of  purchase  or the net  asset  value of such
shares at the time of  redemption.  The Fund may waive the initial  sales charge
with  respect  to Class A shares for  shareholders  of  unaffiliated  funds that
charge a front-end sales charge upon redemption of the unaffiliated  fund shares
within  90 days of  purchase  upon  proof  (satisfactory  to the  Fund)  of such
purchase.  In order to qualify for this option please  contact the  Distributor.
The sales charge will be waived for purchases by trust  companies and bank trust
departments  for  funds  over  which  they  exercise   exclusive   discretionary
investment  authority and charge an account management fee and which are held in
a fiduciary,  agency, advisory,  custodial or 



                                                                              11
 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund


similar  capacity;  and  purchases by registered  investment  advisers for their
clients for whom they  charge an account  management  fee. No such sales  charge
will be imposed on any increase in net asset  value,  or on dividends or capital
gain  distributions,  or on reinvestment of  distributions in additional Class A
shares.  In determining  whether the sales charge is payable,  it will be deemed
that the first  Class A shares  redeemed  are  those,  if any,  on which a sales
charge was paid at the time of purchase,  and that the remaining  Class A shares
are  redeemed  in the order in which  they were  purchased.  Class B and Class C
shares will not be sold to investors  who qualify to purchase  Class A shares at
net asset value.


RIGHTS OF ACCUMULATION (CLASS A SHARES).  The scale of reduced sales charges set
forth above for purchases of Class A shares is applicable on a cumulative  basis
to qualifying purchases if the dollar amount thereof plus the value of the Class
A shares then held of record by the purchaser is $50,000 or more. In such event,
the  sales  charge  on the Class A shares  being  purchased  will be at the rate
applicable to the aggregate amount in accordance with the scale set forth above.
Although the  Distributor's  policy is to give  investors the lowest  commission
rate possible under the sales charge  structure,  there can be no assurance that
an investor will receive the rights of  accumulation to which he may be entitled
unless,  at the time of placing his purchase  order,  the investor or the dealer
through  whom he has  purchased  his shares makes a request for the discount and
gives the  Distributor  sufficient  information to determine and confirm whether
the purchase will qualify for the discount.  The rights of  accumulation  may be
amended or terminated at any time as to all purchases occurring thereafter.

LETTER OF INTENT  (CLASS A  SHARES).  If you intend to  purchase  Class A shares
valued at $50,000 or more during a 13-month  period,  you may make the  purchase
under a Letter of Intent so that the initial Class A shares you purchase qualify
for  the  reduced  sales  charge  applicable  to the  aggregate  amount  of your
projected  purchase.  Your initial  purchase must be at least 5% of the intended
purchase.  Purchases  made  within 90 days prior to the signing of the Letter of
Intent may be  included  in such total  amount and will be valued on the date of
the Letter of Intent.  The Letter of Intent will not be a binding  obligation on
either  the  purchaser  or the Fund.  During the period of the Letter of Intent,
State Street will hold shares representing 3% of the intended purchase in escrow
to provide  payment of additional  sales charges that may have to be paid if the
Letter of Intent is reduced.  These shares will be released  upon  completion of
the  intended  investment.  If the total Class A shares  stated in the Letter of
Intent are not purchased,  a price adjustment is made, depending upon the actual
amount  invested  within  the  period  covered  by the  Letter of  Intent,  by a
redemption of sufficient  shares held in escrow for the account of the investor.
A Letter of  Intent  can be  amended:  (a)  during  the  13-month  period if the
purchaser files an amended Letter of Intent with the same expiration date as the
original;  and (b)  automatically  after  the end of the  period,  if the  total
purchases  of Class A shares  credited  to the Letter of Intent  qualify  for an
additional  reduction in the sales charge.  For more information  concerning the
Letter of Intent, see the Application Form or contact the Distributor.

REDUCED SALES CHARGES FOR GROUP PURCHASES AND EXISTING SHAREHOLDERS
GROUP  PURCHASES  (CLASS A  SHARES).  A reduced  sales  charge is  available  to
employees  (and  partners) of the same  employer as a group,  provided that each
participant  makes the required  initial  minimum  investment.  The sales charge
applicable to each  participant of such a group will be determined in accordance
with the table set forth below under  "Reduced Sales Charges -- Class A Shares,"
based on the aggregate  sales of Class A shares to, and shares  holdings of, all
members of the  group.  To be  eligible  for such  reduced  sales  charges,  all
purchases must be pursuant to an employer or partnership-sanctioned plan meeting
certain  requirements:  one such  requirement  is that the plan  must be open to
specified  partners or employees of the employer and its  subsidiaries,  if any.
Such plan may,  but is not required to provide for payroll  



12


<PAGE>
<PAGE>

[LOGO]                                                 GENERAL APPLICATION FORM

    THIS APPLICATION WILL NOT ESTABLISH AN IRA OR QUALIFIED RETIREMENT PLAN

Please use this form if you would  like to  purchase  The  Burnham  Fund  shares
through  Burnham  Securities  Inc. (The Burnham Fund's  distributor)  or through
State Street Bank and Trust Company (The Burnham Fund's transfer agent).  If you
are a customer of another  investment  firm or financial  intermediary,  contact
your account  executive.  FOR AN IRA, A MONEY PURCHASE  PENSION PLAN OR A PROFIT
SHARING PLAN  APPLICATION  YOU CAN CALL  BURNHAM  SECURITIES  INC.  TOLL-FREE AT
1-800-874-FUND  OR STATE STREET BANK AND TRUST  COMPANY AT  1-800-462-2392.


  [ ] EXISTING ACCOUNT NUMBER ______________________________     [ ] NEW ACCOUNT

1. OPENING YOUR ACCOUNT

Be sure to consult the Fund's  prospectus under "Purchase of Shares" for details
regarding sales charges,  Rights of Accumulation,  Letters of Intent and minimum
purchase requirements.  Letters of intent may be submitted with this application
or within 90 days of this initial purchase.  If you are establishing a Letter of
Intent  (available for Class A Shares only) please check this box [ ].

<TABLE>
<S>                                                                                     <C>
  PURCHASE METHOD (Check one only)                                     [ ] CLASS A SHARES (FRONT-END SALES CHARGE)

   [ ] CLASS B SHARES (CONTINGENT DEFERRED SALES CHARGE)               [ ] CLASS C SHARES (LEVEL-CONTINGENT DEFERRED SALES CHARGE)

CHECK IS ENCLOSED FOR: $____________________________________  Minimum initial requirement is $1,000 (unless
otherwise provided in the Prospectus). For Letter of Intent the minimum must equal 5% of the intended amount.
PLEASE MAKE YOUR CHECK PAYABLE TO "STATE STREET BANK AND TRUST COMPANY" AND MAIL  TO: P.O. BOX 8505, BOSTON, MA 02266-8505.
PLEASE INDICATE CLASS A, B OR C ON YOUR CHECK.

2. ACCOUNT REGISTRATION
                                                                                                                         
[ ]  INDIVIDUAL     _____________________________________________________________________________________________________________
                                                      First Name, Middle Initial, Last Name

[ ]  JOINT OWNER(S) ______________________________________________________________________________________________________________
     (if Applicable)                                  First Name, Middle Initial, Last Name

                    ______________________________________________________________________________________________________________
    (if Applicable)                                   First  Name,  Middle  Initial,  Last  Name
                            JOINT TENANCY WITH RIGHTS OF  SURVIVORSHIP  WILL BE PRESUMED  UNLESS  OTHERWISE SPECIFIED.

     [ ] UGMA/UTMA     LIST ONLY ONE CUSTODIAN AND ONE MINOR PER ACCOUNT.  PROVIDE MINOR'S SOCIAL SECURITY NUMBER

         ________________________________________________________________________________________________________________________
                                                Custodian's First Name, Middle Initial, Last Name

         ________________________________________________________________________________________________________________________
                                                Minor's First Name, Middle Initial, Last Name

      [ ]  UNIFORM  GIFTS TO MINORS ACT    [ ] UNIFORM  TRANSFERS  TO MINORS ACT   UNDER THE STATE WHERE THE GIFT IS MADE:_______

                  ---------- - ------- - ----------           ----- - ---------------------
                  (Social Security Number)                    (Tax Identification Number)

 [ ]  CORPORATION, PARTNERSHIP, IF CORPORATION, A CERTIFIED COPY OF THE CORPORATE RESOLUTION MUST BE PROVIDED WITH THIS APPLICATION.
      OR OTHER ENTITY

                     ____________________________________________________________________________________________________________
                                                           (Print Exact Name of the Organization)


<PAGE>
<PAGE>


[LOGO]

     [ ] TRUST             IF A TRUST, A CERTIFIED COPY OF THE TRUST AGREEMENT MUST BE PROVIDED WITH THIS APPLICATION.

                           NAME OF  TRUST: ______________________________________________________________________________________

                           DATE OF TRUST INSTRUMENT (MO. - DAY - YR.): _____-_____-_____

                           NAME OF  TRUSTEE(S): _________________________________________________________________________________

                           FOR THE BENEFIT OF: __________________________________________________________________________________

3. MAILING ADDRESS

                                                              (       )
      ____________________________________________________     ________________________
      Street Address                                           Business Phone

                                                              (        )
      ____________________________________________________     ________________________
      City                       State      Zip Code           Home Phone

     [ ]  U.S. Citizen          [ ] Non-U.S. Citizen      [ ] U.S. Citzen Abroad (Country:______________________________________)

4. DIVIDENDS AND CAPITAL GAINS                                                 All distributions will be reinvested into the Fund
                                                                                                      unless you elect otherwise.

     [ ] REINVEST ALL INCOME  DIVIDENDS  AND CAPITAL  GAINS

     [ ] CASH PAYMENT FOR INCOME  DIVIDENDS AND CAPITAL GAINS

     [ ] REINVEST ONLY CAPITAL GAINS AND PAY INCOME DIVIDENDS IN CASH

              CASH  DISTRIBUTIONS WILL BE MAILED TO ADDRESS OF RECORD UNLESS YOU INDICATE OTHERWISE UNDER "PAYMENTS TO OTHERS".

5. DEALER/BROKER INFORMATION                                                 Please have your broker agent complete thr following:

         DEALER NAME:____________________________________________________________________________________________________________

         DEALER ADDRESS (BRANCH OFFICE):_________________________________________________________________________________________

         ______________________________________________________      ____________________________________________________________
         City, State, Zip           Dealer Branch Office #           Phone #

         ______________________________________________________      ____________________________________________________________
         Dealer Authorization Signature           REP #              Rep Last Name, First Name

         _______________________________________
         Dealer Code (If unknown, leave blank)
</TABLE>


<PAGE>
<PAGE>

                                                                          [LOGO]
6. SHAREHOLDER ACCOUNT OPTIONS
                                
  [ ] A. COMBINED PURCHASE AND RIGHTS OF ACCUMULATION (ROA)(CLASS A SHARES ONLY)
        Shares may be purchased at the offering price applicable to the total of
        (a) dollar amount then being  purchased  plus (b) the combined  holdings
        (valued at their current  offering  price) of the purchaser,  his or her
        spouse,  their children under the age of 21 and certain others of shares
        of the Fund as stated in the  Prospectus.  In order for this  cumulative
        quantity  discount to be made  available,  the shareholder or his or her
        securities dealer must disclose the shareholder's  total holdings in the
        Fund each time an order is placed.

        LIST THE RELATED ACCOUNT INFORMATION, EMPLOYER'S INFORMATION OR THE FUND
        ACCOUNT NUMBER(S) THAT YOU OR YOUR IMMEDIATE FAMILY
        ALREADY OWN:___________________________________________________________

  [ ] B. LETTER OF INTENT  (CLASS A SHARES ONLY)
        I agree to the  statement of intention  and escrow terms set forth under
        "Letter of Intent" in the Prospectus.  Although I am not obligated to do
        so, it is my  intention  to make  investments  over a 13 month period in
        shares of The Burnham Fund Inc. which will equal or exceed:
<TABLE>
<S>                                                                                     <C>

         [ ]  $50,000          [ ]  $100,000         [ ]  $250,000         [ ]  $500,000         [ ] $1,000,000
         Purchases made within the last 90 days will be included.
         EXISTING ACCOUNT NUMBER(S)____________________________________________________________________________

   [ ]   C. NAV  PURCHASES (INCLUDE EMPLOYEE OR BROKER NUMBER OF PERSON  THROUGH  WHOM  ELIGIBILITY IS CLAIMED)
</TABLE>
        [ ] Check this box if you are an officer, director, account executive or
        full-time employee (or an immediate family member of any such person) of
        The Burnham Fund Inc.,  Burnham Asset  Management  Corporation,  Burnham
        Securities Inc. or any affiliate thereof.

        [ ] Check this box if you are any  employee of an NASD member  firm.  If
        checked,     please     state     name    and     address     of    your
        employer:______________________________________________________________


   [ ]  D. AUTOMATIC  CASH  WITHDRAWAL  PLAN (FOR  ACCOUNTS OF $ 5,000 OR MORE)
<TABLE>
<S>                                                                                     <C>

        You are hereby authorized and instructed to send a check for $___________________________________________minimum $25)

        [ ] Monthly,  on approximately  the 20th day OR   [ ] Quarterly,  on approximately the 20th day of January, April, July and
                                                              October

         [ ]  CHECK THIS BOX and complete Section 7 "Payments to Others" ONLY IF your withdrawal check is to be made payable
         to person(s) other than registered owner.  PAYEE:_______________________________________________________________________

   [ ] E.     AUTOMATIC INVESTMENT PROGRAM
         [ ]  You are hereby authorized and instructed to draw on my bank account, on approximately
         THE [ ]  5TH OR   [ ]      15TH of the following Month:___________________________________ and be repeated
                                                                     ($50 monthly minimum)
         [ ] each month OR [ ] each quarter until further notice.

</TABLE>
   
    
        * If the 5th or 15th of the month is not a business day, the  withdrawal
        from your  bank  account  will be made on the next  business  day.  (The
        investment  in the Fund will be made  within 3 business  days after each
        withdrawal).


        PLEASE  COMPLETE  BANK  INFORMATION  ON THE  FOLLOWING  PAGE  IF YOU ARE
        PARTICIPATING IN THE AUTOMATIC INVESTMENT PROGRAM.


<PAGE>
<PAGE>

BANK  INFORMATION:  NOTE: YOUR BANK MUST BE A MEMBER OF NACHA (SEE "SERVICES FOR
SHAREHOLDERS - AUTOMATIC  INVESTMENT  PROGRAM" IN THE  PROSPECTUS).  PLEASE CALL
YOUR BANK IF YOU ARE UNSURE.

_______________________________________________________________________________
                          Bank Name and Branch Address

___________________________________   _________________________________________
City      State         Zip Code      Bank Transit Routing Number (ABA Number) *

* This nine digit-number used to identify your bank to the NACHA can be found on
the lower  left-hand  corner of your bank check or deposit slip. If your account
is with a Savings  Bank or Credit  Union,  you must contact the  institution  to
obtain their ABA Number.
<TABLE>
<S>                                                                                     <C>

TYPE OF BANK ACCOUNT:  (CHECK ONE)
[ ]  CHECKING ACCOUNT         [ ] NOW ACCOUNT/ MONEY MARKET DEPOSIT        [ ] SAVING ACCOUNT**
BANK ACCOUNT NUMBER:____________________ ** Passbook Savings accounts are NOT eligible.
</TABLE>

7. PAYMENTS TO OTHERS      Complete if checks are to be made payable to someone
                                             other than the registered owner(s).

              [ ] DISTRIBUTION CHECKS          [ ] SYSTEMATIC WITHDRAWAL CHECKS
    
   MAKE CHECKS PAYABLE TO:

          ______________________________________________________________________
         (First Name)         (Middle Initial)              (Last Name)

          _____________________________________________________________________
         (Street Address)                            (Apt #)

          __________________________   ________________________________________
         (City)   (State) (Zip Code)  (Account Number, if applicable)

PLEASE MAKE PAYMENTS TO THE FOLLOWING BANK ACCOUNT:

         NAME OF DEPOSITOR (as it appears on Bank Records)_____________________

         BANK A/C NO.  (Attach a voided check)_________________________________

         SIGNATURE GUARANTEE (if required)_____________________________________

8. TAXPAYER INDENTIFICATION NUMBER/SIGNATURE(S)

IN  ACCORDANCE  WITH THE  LAW, UNLESS THIS FORM IS  COMPLETED  AND SIGNED,  YOUR
ACCOUNT  WILL  BE  SUBJECT  TO  A  31%  BACKUP  WITHHOLDING.

PART  1.  TAXPAYER IDENTIFICATION  NUMBER:

Please enter the taxpayer  identification number in the appropriate   area.  For
most  individual  taxpayers  this is the social  security number.


  -------- - ----- - ---------          -------- - ----- - ---------
    SOCIAL SECURITY NUMBER              TAXPAYER IDENTIFICATION NUMBER  (TIN)

PART 2. BACKUP  WITHHOLDING:            [ ] Check the box if you are not subject
to  backup  withholding  because  (1) you have not  been  notified  that you are
subject to backup  withholding  as a result to report all  interest or dividends
(2) the Internal Revenue Service has notified you that you are no longer subject
to backup withholding.

CERTIFICATION:  Under  penalties  of  perjury,  I certify  that the  information
provided on this form is true, correct and complete.

x
____________________________________________             _________________
SIGNATURE                                                DATE

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund

deductions,  IRAs or investments  pursuant to retirement plans under Section 401
or 408 of the Code.

   The Distributor may also offer a reduced sales charge for aggregating related
fiduciary  accounts  under such  conditions  that the  Distributor  will realize
economies of scale in its sales efforts and sales-related expenses.

   A qualified  purchase is one that (i)  relates to an  investment  in the Fund
held for more  than six  months,  (ii) is not made  solely  for the  purpose  of
acquiring  shares at a discount,  and (iii) satisfies  certain uniform  criteria
that  enable  the  Distributor  to realize  economies  of scale in its costs and
expenses of the  distribution  of Fund shares.  A qualified group must have more
than 10 members,  must make those  members  available  for group  meetings  with
representatives  of the Fund and must agree to include sales materials and other
materials  relating to the Fund in its  publications  or other regular  periodic
communications  to its  members at no cost to the  Distributor  (other  than its
normal expenses  associated with the  production,  printing and  distribution of
such materials).

   In order to obtain such reduced  sales  charge,  the  purchaser  must provide
sufficient  information at the time of purchase to permit  verification that the
purchase qualifies for the reduced sales charge.  Approval of group purchases at
a reduced sales charge is subject to the discretion of the Distributor.

EXISTING  SHAREHOLDERS (CLASS A SHARES).  The Board has determined until further
notice that  shareholders  who  purchased  Class A shares  before April 28, 1995
("existing  Class A shares") are subject to a reduced initial sales charge of up
to 3% for Class A shares as follows.

<TABLE>
<CAPTION>
Reduced Sales Charge Table -- Class A Shares
                                                                             DEALER CONCESSION OR
                                     AS A PERCENTAGE      AS A PERCENTAGE      AGENCY COMMISSION
                                    OF OFFERING PRICE   OF NET ASSET VALUE    AS A PERCENTAGE OF
    AMOUNT INVESTED                OF SHARES PURCHASED  OF SHARES PURCHASED     OFFERING PRICE*
- -------------------------------------------------------------------------------------------------
<S>                                       <C>                  <C>                   <C>  
    Less than $100,000                    3.00%                3.09%                 2.50%
    $100,000 but less than $250,000       2.75%                2.83%                 2.25%
    $250,000 but less than $500,000       2.25%                2.30%                 1.75%
    $500,000 but less than $1,000,000     1.75%                1.78%                 1.50%
    $1,000,000 or more                    0.00%                0.00%                 0.00%
</TABLE>

      * The entire sales charge may be re-allowed to dealers who achieve certain
      levels of sales or who have rendered  coordinated  sales support  efforts.
      Such  dealers may be deemed to be  "underwriters."  The third  column sets
      forth the dealer concession received by dealers other than the Distributor
      for selling  Class A shares.  The  Distributor  retains the balance of the
      initial sales charge.

CLASS B SHARES  PURCHASES.  Purchases of Class B shares will be processed at net
asset value next  determined  after receipt of your purchase order for less than
$250,000.  Class B shares are not subject to an initial  sales charge but may be
subject to a CDSC upon redemption.

   If Class B shares of the Fund are redeemed  within six years after the end of
the calendar month in which a purchase order for Class B shares was accepted,  a
CDSC will be imposed by applying the appropriate  percentage  indicated below to
the lesser of: (1) the net asset value of such shares at the time of purchase or
(2) the net asset value of such shares at the time of redemption.  The CDSC will
be deducted from the redemption  proceeds  otherwise  payable to the shareholder
and  retained  by  the  Distributor.  The  CDSC  to be  imposed  on  such  share
redemptions will be assessed according to the following schedule:

<TABLE>
<CAPTION>
YEARS SINCE PURCHASE ORDER                             APPLICABLE CLASS B 
OF LESS THAN $250,000                                  CONTINGENT DEFERRED 
WAS ACCEPTED                                             SALES CHARGE 
- ------------                                             ------------
<S>                                                         <C>   
Up to one year                                              5.00% 
One year but less than two years                            4.00% 
Two years but less than four  years                         3.00% 
Four years but less than five years                         2.00% 
Five years but less than six years                          1.00% 
Six years or more                                           None
</TABLE>

   
    

                                                                              13
 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund

CONVERSION OF CLASS B SHARES. Class B shares will automatically convert to Class
A shares of the Fund eight years after the calendar  month in which the purchase
order for Class B shares was  accepted,  on the basis of the  relative net asset
values of the two  classes and subject to the  following  terms:  Class B shares
acquired  through the reinvestment of dividends and  distributions  ("reinvested
Class B shares")  will be converted  to Class A shares on a pro-rata  basis only
when  Class  B  shares  not  acquired  through   reinvestment  of  dividends  or
distributions  ("purchased  Class B  shares")  are  converted.  The  portion  of
reinvested  Class B shares to be converted  will be determined by the ratio that
the purchased Class B shares eligible for conversion bear to the total amount of
purchased  Class B shares in the  shareholder's  account.  For the  purposes  of
calculating  the  holding  period,  Class B shares  will be  deemed to have been
issued  on the date on which  the  issuance  of  Class B shares  occurred.  This
conversion  to  Class A  shares  will  relieve  Class B shares  that  have  been
outstanding  for at least  eight  years ( a period  of time  sufficient  for the
distributor to have been compensated for  distribution  expenses related to such
Class B shares) from the higher ongoing distribution fee paid by Class B shares.
Only Class B shares have this conversion  feature.  Conversion of Class B shares
to Class A shares is contingent on a determination that such conversion does not
constitute a taxable event for the shareholder  under the Internal Revenue Code.
If such  determination is no longer  available,  conversion of Class B shares to
Class A shares would have to be suspended,  and Class B shares would continue to
be subject to the Class B  distribution  fee until  redeemed.  The Fund  intends
voluntarily to allow  existing  Class B shares to have the conversion  privilege
permitting  holders of  existing  Class B shares to convert to Class A shares as
described above.

CLASS C SHARES  PURCHASES.  Purchases of Class C shares will be processed at net
asset value next  determined  after receipt of your purchase order for less than
$1,000,000. Class C shares are not subject to an initial sales charge but may be
subject to a CDSC upon redemption.

   If Class C shares are redeemed  within one year after the end of the calendar
month in which a purchase order for Class C shares was accepted, a CDSC of 1.00%
is imposed on the lesser of (1) the net asset  value of such  shares at the time
of purchase or (2) the net asset value of such shares at the time of redemption.
The CDSC will be deducted from the redemption  proceeds otherwise payable to the
shareholder and will be retained by the distributor.


EXEMPTIONS  FROM CDSC (ALL CLASSES).  No CDSC will be imposed when a shareholder
redeems  Class A,  Class B or Class C shares  in the  following  instances:  (a)
shares or amounts  representing  increases in the value of an account  above the
net cost of the  investment  due to  increases in the net asset value per share;
(b) shares acquired  through  reinvestment of income  dividends or capital gains
distributions;  (c) Class A shares purchases in the amount of $1 million or more
held for more  than 24  months,  Class B shares  held for more than six years or
Class C shares held for more than one year from the end of the calendar month in
which the purchase order was accepted.


   The CDSC will not  apply to  purchases  of Class A shares at net asset  value
described  under  "Waivers of Sales Charge" above and will be waived in the case
of  redemptions  of Class A, Class B and Class C shares in  connection  with (i)
distributions  to participants or beneficiaries of plans qualified under Section
401(a) of the Code or from  custodial  accounts  under Code  Section  403(b)(7),
individual retirement accounts under Code Section 408(a),  deferred compensation
plans under Code Section 457 and other employee  benefit plans  ("plans"),  (ii)
withdrawals under an automatic  withdrawal plan where the annual withdrawal does
not exceed 10% of the opening  value of the  account  (only for Class B shares);
and (iii)  following  the death or  disability  of a  shareholder.  If the Board
determines to  discontinue  the waiver of the CDSC, the disclosure in the Fund's
Prospectus will be appropriately revised.



14

 
<PAGE>
<PAGE>
                                                                         BURNHAM
                                                                          ----
                                                                          Fund

   In  determining  whether  the  Class A,  Class B or  Class C  shares  CDSC is
payable, it will be assumed that shares not subject to a CDSC are redeemed first
and that other shares are then  redeemed in the order  purchased.  A shareholder
will be credited  with any CDSC paid in  connection  with the  redemption of any
Class A, Class B or Class C shares if within 90 days after such redemption,  the
proceeds are invested in the same Class of shares of the Fund.


OTHER DEALER  COMPENSATION.  The  Distributor  may provide  additional  non-cash
compensation  to  dealers  in  connection  with the sale of shares to the extent
permitted by the NASD Rules of Fair Practice established from time to time which
include gifts currently not exceeding $100 per year,  occasional meals,  tickets
to  entertainment  events and  payments or  reimbursements  in  connection  with
meetings held by the Fund or a dealer for training and educational purposes.

                              Redemption of Shares

   An  investor  of the Fund may  redeem  shares on any day the Fund is open for
business  -  normally  when  the  NYSE  is open - using  the  proper  procedures
described   below.  See  "Net  Asset  Value"  in  the  Statement  of  Additional
Information for a listing of the days on which the NYSE will be closed.

1. THROUGH THE DISTRIBUTOR OR OTHER  PARTICIPATING  DEALERS. If your account has
been  established by the  Distributor  or a  participating  dealer,  contact the
Distributor or your account executive at a participating  dealer who will assist
you with your redemption. Requests received by your dealer prior to the Close of
the NYSE and transmitted to the Transfer Agent by its close of business that day
will receive that day's net asset value per share.

2. REGULAR REDEMPTION THROUGH TRANSFER AGENT. Redemption requests may be sent by
mail to the  Transfer  Agent and will  receive the net asset value of the shares
being redeemed which is next  determined  after the request is received in "good
form".  "Good  form"  means that the  request is signed in the name in which the
account is registered and the signature is guaranteed by an eligible  guarantee.
Eligible  guarantors  include  member firms of a national  securities  exchange,
certain banks and saving  associations  and,  credit  unions,  as defined by the
Federal  Deposit  Insurance  Act. You should verify with the Transfer Agent that
the  institution is an acceptable  (eligible)  guarantor  prior to signing.  The
Transfer  Agent  reserves  the right to  request  additional  confirmation  from
guarantor  institutions,  on a case by case basis, to establish  eligibility.  A
GUARANTEE  FROM A NOTARY  PUBLIC IS NOT  ACCEPTABLE.  In the case of  redemption
requests by a corporation, trust fiduciary, executor or administrator, where the
name and title of the individual(s)  authorizing such redemption is not shown in
the account  registration,  a copy of the  corporate  resolution  or other legal
documentation appointing the authorized signer and certified within the prior 60
days must accompany the  redemption  request.  Shareholders  may obtain from the
Distributor,  the Fund or the Transfer  Agent,  forms of  resolutions  and other
documentation  which have been prepared in advance to assist in your  compliance
with the Fund's procedures.

   If you do hold  certificates  for your  shares,  you must  submit  your  duly
endorsed  certificates with an appropriate  guarantee of the signature(s) on the
certificates  in addition to your written  instructions,  and in accordance with
the requirements listed below.

   The  Distributor  does not charge for its  services  in  connection  with the
redemption of Fund shares, but upon prior notice may charge for such services in
the future.  Other  securities  firms may charge  their  clients a fee for their
services in effecting redemptions of shares of the Fund.

TERMS OF REDEMPTION. The amount of your redemption proceeds will be based on the
net asset value per share next computed after the  Distributor,  the Fund or the
Transfer Agent receives the redemption  request in proper form. Payment for your
redemption normally will be mailed to you, except as provided below. If you have
purchased  shares by check,  your  



                                                                              15
 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund

redemption  proceeds  and any from  which  any  applicable  CDSC  will have been
deducted,  will  normally  be mailed or wired the day after your  redemption  is
processed.  Your redemption proceeds may be delayed until the check used to make
the purchase has cleared,  which may take fifteen or more days.  This  potential
delay can be avoided by  purchasing  shares  with  Federal  funds or a certified
check.

   Beneficial  owners of shares held of record in the name of the Distributor or
a participating  dealer may only redeem their shares through that firm. The Fund
is  prepared  to redeem  its  shares  on any day the NYSE is open for  business.
However,  the  right of  redemption  may be  suspended  or the  date of  payment
postponed  under  certain  emergency  or  extraordinary   situations,   such  as
suspension  of trading on the NYSE,  or when  trading  in the  markets  the Fund
normally  uses is  restricted  or an  emergency  exists,  as  determined  by the
Commission,  so that disposal of the Fund's assets or  determination  of its net
asset  value is not  reasonably  practicable,  or for such other  periods as the
Commission by order may permit.

   If a certificate  presented for redemption or a redemption request represents
all  shares you own  except  for  additional  shares of less than $100 value for
which no certificates were issued, those additional shares will also be redeemed
unless you  specifically  exclude them in writing when you make your  redemption
request.

REINSTATEMENT  PRIVILEGE  (CLASS A SHARES).  A shareholder of Class A shares who
has redeemed  such shares and has not  previously  exercised  the  reinstatement
privilege  may  reinvest any portion or all the  redemption  proceeds in Class A
shares at net asset value,  provided  that such  reinstatement  occurs within 60
calendar days after such  redemption  and the account meets the minimum  account
size. This privilege may be modified or terminated at any time by the Fund.

   In order to obtain such privilege,  the shareholder  must clearly indicate by
written  request to the Fund that the purchase  represents a  reinvestment  of a
prior redemption of Class A shares. If a shareholder  realizes a capital gain on
redemption of its shares,  such gain is taxable for Federal  income tax purposes
even though all of such  proceeds  are  reinvested.  If a  shareholder  incurs a
capital loss on a redemption and reinvests the proceeds in the Fund, part or all
of such loss may not be deductible for such purposes.

   The reinstatement privilege may be used by shareholders once, irrespective of
the number of shares redeemed or  repurchased,  except that the privilege may be
used  without  limit in  connection  with  transactions  for the sole purpose of
transferring  a  shareholder's  interest  in the  Fund to his or her  Individual
Retirement Account or other tax-qualified retirement plan account.

   The Fund  reserves the right to redeem your account if its value is less than
$500 due to  redemptions.  The Fund will give the shareholder 30 days' notice to
increase the account value to at least $500. Redemption proceeds will be mailed.

                            Organization of the Fund

   The Fund was  originally  organized  as a Delaware  corporation  in 1960;  on
September 7, 1989, it was  reincorporated in Maryland under the name The Burnham
Fund Inc.

   As  permitted  under  Maryland  corporate  law, the Fund does not hold annual
meetings of shareholders. There normally are no meetings of shareholders for the
purpose  of  electing  directors.  At such time as less than a  majority  of the
directors holding office has been elected by shareholders, the directors then in
office  will  call a  shareholders'  meeting  for  the  election  of  directors.
Applicable  law requires the  Secretary to call a meeting of  shareholders  when
requested  in writing to do so by the  holders of record of not less than 25% of
the Fund's  outstanding  shares.  In addition,  the Board will call a meeting of
shareholders  for the  purpose  of voting  upon the  question  of removal of any
director or directors  when  requested in writing to do 



16

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund

so by the record holders of not less than 10% of the Fund's outstanding shares.

   The Fund has an authorized  capital of 40 million shares of common stock, par
value $.10 per share,  which are presently  divided into four classes of shares,
of which three classes are presently issued by the Fund. Except  for  conversion
privileges or features,  shares  of  one  class  are  not  convertible  into, or
exchangeable for, shares of any other class.

   Each  class  of  shares  represents  an  identical  interest  in  the  Fund's
investment  portfolio.  As  such,  they  have the same  rights,  privileges  and
preferences, except with respect to the:

(a) designation of each class,  (b) effect of the respective  sales charges,  if
any, for each class,  (c)  distribution  fees borne by each class,  (d) expenses
allocable   exclusively  to  each  class,  and  (e)  voting  rights  on  matters
exclusively  affecting a single class of the Fund.  When  issued,  the shares of
each class are fully paid and nonassessable  and have no preemptive,  conversion
or exchange rights. The shares are transferable without  restriction.  The Board
of Directors is  authorized  to classify or  reclassify  any unissued  shares of
stock of the Fund and to increase or decrease the number of authorized shares of
any class, without shareholder approval.

                                   Management

Under the laws of the State of Maryland,  the board of directors is  responsible
for  managing  the  business  and  affairs of the Fund.  Acting  pursuant  to an
Investment  Advisory  Agreement  entered  into  with  the  Fund,  Burnham  Asset
Management  Corporation (the "Adviser") serves as the investment  manager of the
Fund.  Its  principal  place of business is 1325  Avenue of the  Americas,  17th
Floor,  New York,  New York 10019.  The Adviser  has been  providing  investment
advisory services to the Fund since 1989.

   
   The Adviser provides  research and statistical  services and makes investment
recommendations to the Fund. Together with the Distributor, the Adviser supplies
a staff  trained in  accounting  and  shareholder  services to aid in the Fund's
administration  and  day-to-day  operations.  For the Fund's  fiscal  year ended
December  31,  1996,  the fee paid to the Adviser was paid  monthly  based on an
annual rate of 0.625 of 1% of the Fund's average daily net asset value.
    

   The Adviser will assume  expenses of each class of the Fund in the event that
aggregate  ordinary  expenses  incurred  in any  fiscal  year  exceed  the  most
restrictive  expense limitations imposed upon the Fund in states in which shares
are then eligible for sale. Currently,  the most restrictive expense limitation,
which excludes certain  distribution fees from operating expenses,  is 2 1/2% of
the first $30  million  of average  net  assets,  2% of the next $70  million of
average net assets and 1 1/2% of the remaining  average net assets.  The Adviser
has agreed to  voluntarily  reimburse  expenses  of Class A, Class B and Class C
shares in order to limit such expenses (as defined above.) The Adviser  reserves
the right to discontinue this policy at any time.

INVESTMENT  MANAGEMENT.  The Adviser  utilizes an Investment  Committee which is
comprised  of six members of the  Adviser to  supervise  and provide  investment
management  to the Fund.  The  investment  management  of the Fund involves four
closely related  activities:  economic research,  industry and company analysis,
portfolio  recommendation  and investment  action - the decision to buy, sell or
hold securities.


Mr. Jon M. Burnham has the primary  responsibility for the day-to-day management
of  the  Fund's  investment  portfolio.  Mr.  Burnham  is the  President,  Chief
Executive  Officer and Director of the Fund.  He has  functioned  in his role as
portfolio  manager  with the Fund  since  1995.  Currently,  Mr.  Burnham is the
Chairman and Chief Executive Officer of the Adviser and Distributor. The Adviser
and  the Distributor are owned and/or controlled by Messrs. I.W. Burnham, II and
Jon M. Burnham.




                                                                              17

 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund

                                  Distribution

PRINCIPAL  DISTRIBUTOR.  Burnham Securities Inc. serves as principal distributor
of shares of the Fund on a "best efforts" basis.  Subject to review by the Board
of  Directors,  the Fund  executes  certain  purchases  and  sales of  portfolio
securities through the Distributor.


DISTRIBUTION  PLAN.  Each Class of shares of the Fund has adopted a Distribution
Plan and Agreement (the  "Plan(s)")  pursuant to Rule 12b-1 under the Investment
Company Act of 1940. Under the Plans, Class A, Class B and Class C shares of the
Fund are  authorized  to pay the  Distributor  a  distribution  fee for expenses
incurred  in  connection  with the  distribution  of  shares of the Fund and for
shareholder servicing.


   Each Plan provides that the Fund will pay the Distributor a distribution  fee
based on the average  daily net asset value of the relevant  class of the Fund's
shares,  as compensation in connection with the promotion,  offering and sale of
the shares,  and related  activities.  The Plans are classified as "compensation
plans" because the Fund will pay the distribution  fees regardless of the amount
of actual distribution expenses. To the extent that the distribution fees exceed
the  actual  distribution  expenses  of  the  Distributor,  any  excess  may  be
considered  direct  compensation  to the  Distributor.  At any given  time,  the
Distributor may incur expenses in  distributing  shares of the Fund which are in
excess of the total  payments  made by the Fund  pursuant to the Plans.  Because
there is no requirement  under the Plans that the  Distributor be reimbursed for
all its expenses or any  requirement  that the Plans be  continued  from year to
year,  this excess  amount does not  constitute a liability  of the Fund.  For a
further description of the Plans, see "Investment  Management and Other Services
- -- Distribution Plans" in the Statement of Additional Information.


CLASS A SHARES.  Class A shares of the Fund pay the  Distributor a  distribution
fee at an annual rate of 0.25% of the  average  daily net asset value of Class A
shares.  Pursuant to the Plan for Class A shares,  commencing  at the end of the
first  calendar  quarter  following  each sale,  dealers will be paid  quarterly
payments equal to 0.25% per annum of the average daily net asset values of Class
A shares.


CLASS B SHARES.  Class B shares of the Fund pay the  Distributor a  distribution
fee at the annual rate of 0.75% of the average  daily net asset value of Class B
shares.  Class B shares  will also pay a service fee at the annual rate of 0.25%
of the average daily net asset value of Class B shares.

   Dealers  will  receive  from the  Distributor  a fee equal to 5% of the gross
proceeds from the sale of Class B shares at the time a sale is settled. Pursuant
to the Plan for Class B shares and the related  selling  and service  agreement,
commencing at the end of the 1st calendar quarter  following each sale,  Dealers
will be paid  quarterly  payments  equal to 0.25% per annum of the average daily
net asset value of Class B shares.

CLASS C SHARES.  Class C shares of the Fund pay the  Distributor a  distribution
fee at the annual rate of 0.75% of the average  daily net asset value of Class C
shares.  Class C shares  will also pay a service fee at the annual rate of 0.25%
of the average daily net asset value of Class C shares.

   Dealers  will  receive  from the  Distributor  a fee equal to 1% of the gross
proceeds from the sale of Class C shares at the time a sale is settled. Pursuant
to the Plan for Class C shares and the related service agreement,  commencing at
the end of the thirteenth  (13th) month  following each sale of shares,  Dealers
will be paid  quarterly  payments  equal to 0.85% per annum of the average daily
net asset value of Class C shares.


USE OF DISTRIBUTION AND SERVICE FEES. All or a portion of the distribution  fees
paid by either Class A, Class B or Class C shares of the Fund may be used by the
Distributor  to pay costs of printing  reports and  prospectuses  for  potential
investors and all or a portion of the  distribution  and/or  service fees may be
paid to  broker-dealers  or others  for the  provision  of  personal  continuing
services to  shareholders,  


18

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund

including  such matters as responding to  shareholder  inquiries  concerning the
status of their accounts and assistance in account  maintenance  reports such as
change in address.


   Broker-dealers,  financial planners and similar financial intermediaries that
sell shares of the Fund will be compensated  differently  depending on the class
of shares an investor  chooses.  In addition,  the Distributor or its affiliates
may,  from  their  own  resources,  and  without  limitation,  compensate  their
employees for sales of shares of any class.

                            Services for Shareholders

SHAREHOLDER ACCOUNTS. The Transfer Agent maintains a share account that reflects
the current holdings of each shareholder. Share certificates will be issued only
upon specific written requests. Each shareholder is sent a detailed confirmation
for each transaction in shares of the Fund.

PAYMENT OF DIVIDENDS AND  DISTRIBUTIONS BY CHECK.  Unless you direct  otherwise,
your  income  dividends  and  capital  gains   distributions  are  automatically
reinvested  in  additional  shares of the same  class at net asset  value on the
ex-dividend  date.  You may  elect  to  receive  payment  of all  dividends  and
distributions  by check by contacting your account  executive if your account is
maintained  at the  Distributor,  or by giving  written  notice to the  Transfer
Agent.  Commencing  ten business  days after the Transfer  Agent  receives  such
notice, all future dividends and distributions will be paid to you by check.

   
AUTOMATIC  INVESTMENT  PROGRAM.  The Automatic  Investment Program gives you the
convenience  of  automatically  investing  in the Fund on a monthly or quarterly
basis. There are no initial minimum requirements for shares purchased under  the
Automatic Investment Program. You may choose any amount of at least  $50.00  for
automatic investments in your Fund account from your bank account.
    

   Your  monthly  or  quarterly  investments  will be made by  electronic  funds
transfer from your bank account if your bank is a member of a National Automatic
Clearing House  Association  ("NACHA").  This service is subject to the rules of
the bank  account,  NACHA and the Fund.  Presently,  there is no charge for this
service. The Fund may modify or terminate this service by written notice to you.
   
   For further details,  see the application form attached to this Prospectus or
call BFDS (1-(800) 462-2392) or the Distributor (1-(800) 874-FUND).
    
AUTOMATIC CASH  WITHDRAWAL  PLAN. An Automatic Cash Withdrawal Plan is available
for shareholders who wish to receive a specific amount of cash either monthly or
quarterly.  You may  subscribe  to  this  service  by  contacting  your  account
executive or by completing an Application Form, or by calling the Distributor at
the  telephone  numbers set forth on the cover page of this  Prospectus,  and by
depositing  with the  Distributor  or the Transfer  Agent a minimum of $5,000 in
Fund shares at their  current net asset value.  All  dividend and capital  gains
distributions will be reinvested.

   The  Distributor,  participating  dealers  or the  Transfer  Agent  will make
payments to you either  monthly or quarterly in amounts of not less than $25. To
provide funds for these  payments,  the  Distributor  or the Transfer Agent will
redeem a sufficient number of your shares held in uncertificated form at the net
asset  value at the  close of  business  of the NYSE on or about the 20th day of
each payment month (or, if that day is not a regular  business day for the NYSE,
then on or about the next regular  business  day). A check will be mailed to you
not later than  seven days  following  the date the shares are  redeemed.  Since
withdrawal  payments  represent the proceeds  from the sale of 



                                                                              19

 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund

Fund  shares,  the amount of the  shareholder's  investment  in the Fund will be
reduced  to the extent  that  withdrawal  payments  exceed  dividends  and other
distributions  paid  and  reinvested.  Any  gain or loss on such  sales  will be
subject to income tax. You may terminate the Plan at any time by written  notice
to the Transfer  Agent or the Transfer  Agent may terminate the Plan at any time
upon receiving  directions to that effect from the Fund. The Transfer Agent will
also  terminate  the Plan upon  receipt of evidence  satisfactory  to it of your
death or legal incapacity.

   Upon termination of the Plan by you, the Transfer Agent, or the Fund,  shares
remaining unredeemed will be held in an uncertificated account in your name, and
the account will continue as a  dividend-reinvestment  account  unless and until
proper  instructions  are received from you,  your  executor or guardian,  or as
otherwise  appropriate.  The Transfer  Agent shall incur no liability to you for
any action  taken or omitted by the Transfer  Agent in good faith.  In the event
that State Street shall cease to act as transfer agent for the Fund, you will be
deemed  to  have  appointed  any  successor  tranfer  agent  as  your  Agent  in
administering the Plan.

RETIREMENT   PLANS.   Tax-qualified   retirement   plans  and  IRAs  may  invest
contributions  thereto in shares of the Fund.  Brochures  which provide  further
information about and include (1) tax-qualified  retirement plans, their related
Trust  Agreement and  application  forms,  and (2) IRAs, a contribution  deposit
form,  and the  "disclosure"  statement  required by Treasury  regulations,  are
available  from the Fund by calling the  telephone  numbers  listed on the cover
page of this  Prospectus.  Investors are urged to consult their own tax advisors
regarding the tax  consequences of  participation  in  tax-qualified  retirement
plans or IRAs.

   You may purchase shares through  tax-qualified  retirement plans or IRAs only
by sending  payment  with a properly  completed  application  directly  to State
Street, which will provide custodian services.  After receipt of payment,  State
Street will make all purchases.

SHAREHOLDER INQUIRIES. YOU MAY TELEPHONE 1-800-462-2392 FOR INQUIRIES CONCERNING
THE FUND,  INCLUDING  PURCHASE  AND  SALES OF  SHARES  OF THE  FUND,  AS WELL AS
INQUIRIES  CONCERNING  DIVIDENDS AND ACCOUNT STATEMENTS.  If you prefer, you may
write  to  State  Street  Bank  and  Trust  Company,   P.O.  Box  8505,  Boston,
Massachusetts   02266-8505.   Inquiries  concerning  management  and  investment
policies of the Fund may be directed to Burnham  Asset  Management  Corp.,  1325
Avenue of the Americas,  17th Floor, New York, New York 10019 or by telephone at
1(800) 874-FUND.


POSSIBLE  CONFLICTS  OF  INTEREST  BETWEEN  CLASSES.  The  Board of the Fund has
determined  that currently no conflict of interest exists among Class A, Class B
and Class C shares of the Fund. On an ongoing basis, the Board shall monitor the
Fund for the existence of any material  conflicts of interest  among the classes
of  outstanding  shares.  The  Board  shall  take such  action as is  reasonably
necessary to eliminate any such conflict that may develop.


CUSTODIAN, TRANSFER AGENT AND DIVIDEND PAYING AGENT. State Street Bank and Trust
Company, P.O. Box 8505, Boston, MA 02266-8505.

   
SHAREHOLDER SERVICING AGENT.  Boston Financial Data Services,  Inc., 2  Heritage
Drive, North Quincy, MA 02171.
    


INDEPENDENT ACCOUNTANTS.  Coopers & Lybrand L.L.P., 1301 Avenue of the Americas,
New York, NY 10019.

COUNSEL.  Skadden,  Arps, Slate,  Meagher & Flom, 919 Third Avenue, New York, NY
10022.

APPLICATION TERMS.
TAX IDENTIFICATION  NUMBERS.  Because of certain changes to the Internal Revenue
Code of 1986, as amended, the failure to provide a tax identification  number by
an  investor   will  subject  your  account  to  special   Federal   income  tax
withholdings;  the law will  require  the Fund to withhold  31% of each  taxable
dividend or capital gain  distribution paid to you in cash or reinvested in your
account and will require the Fund to withhold 31% of any redemption.  The 



20

 
<PAGE>
<PAGE>
                                                                         BURNHAM
                                                                          ----
                                                                          Fund

amount  withheld is paid to the Internal  Revenue  Service  toward the amount of
Federal income taxes you owe. The Fund will not return to you an amount withheld
due to your failure to provide a correct certified number. In addition,  you may
be subject to a $50 I.R.S.  penalty.  Therefore,  please  include  your  correct
Social   Security  number  or  Taxpayer   Identification   Number  on  the  Fund
Application.

The following sets forth examples of what identification numbers to list:

TYPE OF ACCOUNT                                          TAXPAYER NUMBER
- ---------------                                          ---------------
Individual Account...................Social Security Number of Applicant
Joint Account.....................................Social Security Number
                                                 of Person Reporting Tax
Custodian Account for a Minor...........Social Security  Number of Minor
Corporation, Partnership, Trust,
Estate, Pension, Broker, etc. ............Taxpayer Identification Number
Nonresident Alien..........................................None Required

MISCELLANEOUS.  The terms of the Application shall be construed according to the
laws of the State of New York.

   The broker-dealer  represented on the Fund Application must have an effective
sales  agreement  with the  Distributor  signed by a principal of the firm.  The
broker-dealer  further represents that it has informed the investor of the terms
and conditions relating to the options elected.

   If the investor does not sign the Application,  the broker-dealer  represents
that the form is completed in accordance  with the investor's  instructions  and
agrees to indemnify the Fund, its servicing  agent,  and the Distributor for any
loss or liability resulting from acting upon such instructions.


                                                                              21
 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund


<TABLE>
<CAPTION>
                   Table of Contents

    <S>                                          <C>
    Fee Table.....................................2

    Hypothetical Investment.......................2

    Financial Highlights..........................3

    The Fund......................................4

    The Fund's Investment Objectives and 
      Policies....................................4

    Alternative Purchase Arrangements.............6

    Risk Factors..................................7

    Net Asset Value, Dividends, Capital Gains
      Distributions and Taxes.....................8

    Purchase of Shares............................9

    Redemption of Shares.........................15

    Organization of the Fund.....................16

    Management...................................17

    Distribution.................................18

    Services for Shareholders....................19
</TABLE>



      Prospectus

   
      April 30, 1997
    


22


 
<PAGE>
<PAGE>

                                     BURNHAM
                                      ----
                                      Fund





               THE BURNHAM  FUND INC.  (the "Fund") is a  diversified,  open-end
               management   investment   company  whose   principal   investment
               objective  is  capital  appreciation,  mainly  long-term.  Income
               generally will be of lesser importance.


               Burnham  Asset  Management   Corporation   (the  "Adviser"),   an
               affiliate of Burnham Securities Inc. (the "Distributor"),  serves
               as investment adviser.

   
               This  Statement of Additional  Information,  which should be kept
               for future reference,  is not a prospectus.  It should be read in
               conjunction  with the  Prospectus  of the Fund,  dated  April 30,
               1997, which can be obtained without cost by contacting the dealer
               through  whom you  purchased  shares or by calling or writing the
               Distributor at the telephone  number and address  printed on this
               page.  This  Statement of Additional  Information  is intended to
               provide you with additional  information regarding the activities
               and operations of the Fund.
    

               The Fund offers  alternative  purchase  arrangements that provide
               investors  with the option of purchasing  shares (i) subject to a
               front-end  sales  charge and a Rule 12b-1 plan  distribution  fee
               ("Class A shares");  (ii) subject to a contingent  deferred sales
               charge  ("CDSC")  if held for less than six  years,  a Rule 12b-1
               plan  distribution  fee and a service fee ("Class B shares");  or
               (iii),  subject to a CDSC if held for less than one year,  a Rule
               12b-1 plan distribution fee and a service fee ("Class C shares").
               The Fund's  multi-class  distribution  system is  described  more
               fully in the Prospectus under the headings  "Alternative Purchase
               Arrangements,"   "Purchase  of  Shares  -  Terms  of   Purchase,"
               "Redemption of Shares," and "Distribution - Distribution Plans."

               Reference  is  made  to  the  Fund's  investment  objectives  and
               policies  set forth in the Fund's  Prospectus  under the  heading
               "The  Fund's  Investment  Objectives  and  Policies."  The Fund's
               investment  techniques and investment  restrictions are set forth
               herein.

   
                             BURNHAM Securities Inc.
                              PRINCIPAL DISTRIBUTOR
                    1325 Avenue of the Americas, 17th Floor,
                            New York, New York 10019


               April 30, 1997
    

 
<PAGE>
<PAGE>

  BURNHAM
   ----
   Fund




                              Investment Techniques
   In seeking to achieve its investment  objectives,  the Fund may, to a limited
extent,  purchase listed put and call options,  write  "secured"  listed put and
"covered"  listed call options,  invest in foreign  securities  and warrants and
lend its portfolio securities.

WARRANTS. The Fund may invest in warrants,  subject to the limitations described
below.  The  holder of a warrant  has the right to  purchase  a given  number of
shares of a  particular  company at a  specified  price until  expiration.  Such
investments  generally  can provide a greater  potential for profit or loss than
investment of an equivalent amount in the underlying common stock. The prices of
warrants  do not  necessarily  move  parallel  to the  prices of the  underlying
securities.  If the holder does not sell the  warrant,  he risks the loss of his
entire  investment if the market price of the underlying  stock does not, before
the  expiration  date,  exceed the  exercise  price of the warrant plus the cost
thereof.  It should be  understood  that  investing in warrants is a speculative
activity.  Warrants pay no dividends  and confer no rights (other than the right
to purchase the underlying  stock) with respect to the assets of the corporation
issuing  them.  The Fund may not  invest  more  than 5% of the  value of its net
assets in  warrants,  or invest  more than 2% of the value of its net  assets in
warrants  not  traded  on  a  national  securities  exchange.   However,   these
restrictions  on the  purchase  of warrants by the Fund do not apply to warrants
attached to or otherwise included in a unit with other securities.

OPTIONS. To maximize potential gains, which, however, may also result in greater
losses,  from a given  commitment of investment  dollars,  the Fund may purchase
listed  put and call  options on stocks and stock  indexes  and write  "secured"
listed put and  "covered"  listed call options on stocks and stock indexes up to
an  aggregate  of 4% of the  value of its net  assets,  subject  to any  further
restrictions imposed by state securities regulations.

PURCHASING  LISTED  PUT AND  CALL  OPTIONS.  Listed  put and  call  options  are
relatively  short-term contracts (generally with a life of nine months or less).
By  purchasing a call option,  the Fund obtains the right during the term of the
option to  purchase  or  otherwise  participate  in the value of the  underlying
security or securities at a specified  price.  Similarly,  a put option entitles
the  holder to sell or  otherwise  participate  in the  value of the  underlying
security  or  securities  at  a  specified  price.  To  achieve  gains  on  such
investments, the option must be sold before its expiration at more than its cost
or exercised under advantageous  conditions (as when the call price is less than
current  market  value or the put  price  exceeds  current  market  value of the
underlying securities). Otherwise, the purchase of the option results in a loss.

   Put and call  options on stocks and stock  indexes are traded on the American
Stock Exchange,  Chicago Board Options  Exchange,  Philadelphia  Stock Exchange,
Pacific  Stock  Exchange  and New York Stock  Exchange  ("NYSE").  The  national
securities  exchanges on which such options are listed ordinarily will provide a
market for the sale of the options owned by the Fund. In certain instances, such
a market may not be  available,  as when the price of the security  underlying a
call has declined too far below the exercise price. The prices of options do not
necessarily move parallel to the prices of the underlying securities.  Investing
in option  contracts  is a  speculative  activity  and there are no  dividend or
interest payments on funds so invested.

WRITING  LISTED PUT AND CALL OPTIONS ON STOCKS.  The Fund is authorized to write
"covered" listed call options on stocks; that is, options on securities the Fund
holds in its  portfolio  or has an  absolute  and  immediate  right to  acquire,
without additional cash consideration, upon conversion or exchange of securities
currently held in the Fund's portfolio. A call option gives the purchaser of the
option the right to buy, and a writer has the obligation to sell, the underlying
security  at the  exercise  price  during  the  option  period.  So  long as the
obligation of a writer of a call  continues,  he may be given an exercise notice
by the broker-dealer through whom such option was sold, requiring him to deliver
the underlying securities against payment of the exercise price. This obligation
terminates upon (1) expiration of the option,  or (2) such earlier time at which
the writer effects a closing  transaction  through purchase of such option on an
exchange.  Once a writer


2

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                          ----
                                                                          Fund




has  been  given  an  exercise  notice  in  respect  of a call  option,  he will
thereafter be unable to effect a closing purchase transaction on that option. To
secure his  obligation to deliver the  underlying  security,  a writer of a call
option is required to deposit in escrow the underlying  security or other assets
in  accordance  with the rules of the Options  Clearing  Corporation  and of the
various options exchanges.

   By writing call options on its  securities  portfolio,  the Fund may realize,
through the receipt of premiums, a greater current return than would be realized
on its securities alone. As a covered option writer, the Fund, in return for the
premium,  gives up the  opportunity  for  profit  from a price  increase  in the
underlying  security  above the exercise  price so long as its  obligation  as a
writer continues,  but retains the risk of loss should the price of the security
decline. Unlike one who owns securities not subject to an option, the Fund, as a
covered  call option  writer,  has no control  over when it might be required to
sell its securities  covered by the option,  since it might be given an exercise
notice at any time prior to the expiration of its obligation as a writer. If one
of its call options expires unexercised,  the Fund realizes a gain in the amount
of the  premium.  Such a gain,  of  course,  might be offset by a decline in the
market value of the underlying  security during the option period. If one of its
call options is exercised, the Fund realizes a gain or loss from the sale of the
underlying  security.  The  sales proceeds  are  increased  by the amount of the
premium.

   By writing a put option on a stock, the Fund is obligated to purchase a given
security at a specified  price. As a put option writer,  the Fund has no control
over when it might be required to purchase  the  underlying  security,  since it
might be given an  exercise  notice at any time prior to the  expiration  of its
obligation as a writer. If a put option written by the Fund expires unexercised,
the Fund realizes a gain in the amount of the premium.  Put options  involve the
risk that the Fund will be  required to purchase a security at a price above the
prevailing market, although the cost to the Fund is reduced to the extent of the
premium received by it, less transaction charges.

   At the time of writing put  options,  the Fund will  establish  a  segregated
account  consisting of cash,  U.S.  Government  securities or other  appropriate
high-grade debt securities equal to the exercise price, i.e., the price at which
the  Fund is  obligated  to  purchase  the  underlying  security.  The  Fund has
undertaken,  so long as its shares are registered under certain state securities
regulations,  to engage in the  writing  of put  options  only as an  investment
technique  used to further the objectives and policies of the Fund, and not as a
means of generating principal income.

   To the extent that a secondary  market is  available  on the  exchanges,  the
Fund,  as an option  writer,  is able to  liquidate  its  position  prior to the
assignment of an exercise notice by purchasing in a closing purchase transaction
an option of the same series as the option previously  written.  Of course,  the
cost of such a liquidation  purchase plus transaction  costs may be greater than
the premium received upon writing the original option.

OPTIONS  ON STOCK  INDEXES.  The Fund  may also  purchase  and sell put and call
options on stock indexes  traded on national  securities  exchanges.  Currently,
options on stock indexes are traded on the national securities  exchanges listed
above under  "Purchasing  Listed Put and Call Options." Options on stock indexes
are similar to options on specific stocks except that,  rather than the right to
take or make delivery of stock at a specified  price, an option on a stock index
gives the holder the right to receive, upon exercise of the option, an amount of
cash if the  closing  level of the stock index upon which the option is based is
greater  than,  in the case of a call,  or less than,  in the case of a put, the
exercise  price of the option.  This  amount of cash is equal to the  difference
between  the  closing  price of the index and the  exercise  price of the option
expressed  in dollars  times a specified  multiple.  The writer of the option is
obligated, in return for the premium received, to make delivery of this amount.

   Because the value of an index option  depends upon  movements in the level of
the index  rather than the price of a  particular  stock,  gain or loss from the
purchase or writing of index  options  depends  upon  movements  in the



                                                                               3

 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund


level of stock prices in the stock market  generally  or, in the case of certain
indexes,  in an industry or segment of the market,  rather than movements in the
price of a particular  stock.  Accordingly,  successful use by the Fund of stock
index options will be subject to the ability of the Adviser correctly to predict
movements  in the  direction  of the stock  market  generally or of a particular
industry or market segment.

   The Fund may write only "covered"  call options and "secured" put options.  A
call option on a stock index is "covered" if the Fund holds a call option on the
same  index as the call  option  written  where the  exercise  price of the call
option  held is equal  to or less  than the  exercise  price of the call  option
written,  or greater than the exercise  price of the call option  written if the
difference is maintained by the Fund in cash, Treasury bills or other high-grade
short-term obligations in a segregated account. A put option on a stock index is
"secured"  if the Fund  holds a put  option on the same  index as the put option
written  where the exercise  price of the put option held is equal to or greater
than the  exercise  price of the put option  written,  or less than the exercise
price of the put option written if the difference is similarly maintained by the
Fund in a segregated account.


REPURCHASE  AGREEMENTS.  The Fund may enter into  "repurchase  agreements"  with
State Street Bank and Trust Company (the "Custodian"). Repurchase agreements are
agreements  pursuant to which  securities  are acquired by the Fund from a third
party with the  understanding  that the  securities  will be  repurchased by the
seller at a fixed price on an agreed date. Repurchase agreements permit the Fund
to keep all of its assets at work while  retaining  "overnight"  flexibility  in
pursuit of investments of a longer term nature. The use of repurchase agreements
involves certain risks. For example, in the event a seller of securities under a
repurchase  agreement  defaults  on its  repurchase  obligation,  the Fund might
suffer a loss to the extent that the  proceeds  from the sale of the  collateral
were less than the  repurchase  price.  If the  seller  becomes  the  subject of
bankruptcy  proceedings,  the Fund might be delayed or incur additional costs in
selling the  collateral.  To minimize these risks,  the Fund requires  continual
maintenance of collateral with the Custodian in an amount equal to, or in excess
of, the market  value of the  securities  which are the subject of a  repurchase
agreement plus any accrued interest.


LENDING PORTFOLIO  SECURITIES.  To generate extra interest income,  the Fund may
lend portfolio  securities to a limited  extent.  Such loans entitle the Fund to
cash collateral, and the extra cash thus obtained may be invested in short-term,
interest-bearing  securities.  The Fund may make such  loans  only to brokers or
dealers who are members of the NYSE,  or who have net  capital,  under the rules
and regulations  applicable to such broker or dealer,  of at least  $10,000,000.
Such  loans will not be made  against  less than 100% cash  collateral,  and the
borrower will be required to maintain the collateral at 100% of the market value
(marked-to-market  daily) of the  securities  on loan. No such loan will be made
which would cause the  aggregate  market value of all  securities  loaned by the
Fund to exceed 15% of the value of the Fund's total  assets.  Loans will be made
only if: (1) the Fund  retains  the right to obtain any  dividend,  interest  or
other  distribution  benefits on the securities and any increase in their market
value; and (2) the Fund is able to terminate the loan at any time (such right of
termination will be exercised,  among other things,  to obtain the return of the
securities on loan for the purpose of voting on any matters considered  material
by the  Fund's  management).  To  date,  the Fund has  never  made  loans of its
portfolio securities.

   MEDIUM TO LOWER  RATED  CORPORATE  DEBT  SECURITIES.  The Fund may  invest in
securities  that are rated in the medium to lowest rating categories by Standard
& Poor's Corporation ("S&P") and Moody's Investor Services Inc. ("Moody's") some
of which  may  be so-called "junk bonds". The Fund has historically  invested in
securities of distressed issuers when the intrinsic values  of  such  securities
have, in the  opinion of the Adviser, warranted such investment. Corporate  debt
securities rated Baa are regarded by Moody's as being neither  highly  protected
nor  poorly  secured. Interest payments and principal security appears  adequate
to  Moody's for  the present,  but certain protective elements may be lacking or
may be characteristically  unreliable  over  any  great  length  of  time.  Such
securities are regarded by Moody's as lacking 



4



 
<PAGE>
<PAGE>


                                                                         BURNHAM
                                                                           ----
                                                                           Fund


outstanding investment  characteristics and having speculative  characteristics.
Corporate  debt  securities  rated BBB are  regarded  by S&P as having  adequate
capacity to pay interest and repay  principal.  Such  securities are regarded by
S&P as normally  exhibiting  adequate  protection  parameters,  although adverse
economic  conditions  or  changing  circumstances  are more  likely to lead to a
weakened  capacity to pay interest and repay  principal  for  securities in this
rating category than in higher rated categories.

   Corporate  debt  securities  which are rated B are  regarded  by  Moody's  as
generally lacking characteristics of the desirable investment.  In Moody's view,
assurance of interest and principal payments or of maintenance of other terms of
the  security  over  any  long  period  of time  may be  small.  Corporate  debt
securities  rated  BB,  B,  CCC,  CC and C are  regarded  by S&P on  balance  as
predominantly  speculative  with  respect to capacity to pay  interest and repay
principal  in  accordance  with the  terms  of the  obligation.  In S&P's  view,
although   such   securities   likely   have   some   quality   and   protective
characteristics,  these are  outweighed  by large  uncertainties  or major  risk
exposures to adverse conditions.  BB and B are regarded by S&P as indicating the
two lowest degrees of speculation in this group of ratings.  Securities  rated D
by S&P or C by Moody's are in default and are not currently performing. The Fund
will rely on the Adviser's judgment,  analysis and experience in evaluating such
debt securities.  In this evaluation,  the Adviser will take into consideration,
among other  things,  the  issuer's  financial  resources,  its  sensitivity  to
economic  conditions  and  trends,  its  operating  history,  the quality of the
issuer's management and regulatory matters as well as the price of the security.
The  Adviser may also  consider,  although  it does not rely  primarily  on, the
credit  ratings of Moody's  and S&P in  evaluating  lower rated  corporate  debt
securities.  Such ratings  evaluate  only the safety of  principal  and interest
payments, not market value risk.  Additionally,  because the creditworthiness of
an issuer may change more rapidly than is able to be timely reflected in changes
in credit ratings, the Adviser monitors the issuers of corporate debt securities
held in the Fund's  portfolio.  The credit  rating  assigned  to a security is a
factor  considered by the Adviser in selecting a security for the Fund,  but the
intrinsic value in light of market conditions and the Adviser's  analysis of the
fundamental  values  underlying  the issuer are of at least equal  significance.
Because of the  nature of medium  and lower  rated  corporate  debt  securities,
achievement  by the Fund of its  investment  objective  when  investing  in such
securities  is  dependent  on the credit  analysis of the  Adviser.  If the Fund
purchased   primarily   higher  rated  debt   securities  such  risks  would  be
substantially reduced.

   A general economic downturn or a significant increase in interest rates could
severely disrupt the market for medium and lower grade corporate debt securities
and adversely affect the market value of such securities.  Securities in default
are  relatively  unaffected by such events or by changes in prevailing  interest
rates. In addition, in such circumstances,  the ability of issuers of medium and
lower grade corporate debt securities to repay principal and to pay interest, to
meet  projected  business  goals  and  to  obtain  additional  financing  may be
adversely  affected.  Such consequences could lead to an increased  incidence of
default for such securities and adversely affect the value of the corporate debt
securities in the Fund's  portfolio.  The secondary  market prices of medium and
lower grade  corporate debt securities are less sensitive to changes in interest
rates than are higher rated debt  securities,  but are more sensitive to adverse
economic changes or individual  corporate  developments.  Adverse  publicity and
investor perceptions, whether or not based on rational analysis, may also affect
the value and  liquidity of medium and lower grade  corporate  debt  securities,
although  such factors also present  investment  opportunities  when prices fall
below intrinsic  values.  Yields on debt securities in the Fund's portfolio that
are interest rate sensitive can be expected to fluctuate over time. In addition,
periods of economic uncertainty and changes in interest rates can be expected to
result in  increased  volatility  or market  price of any medium or lower  grade
corporate debt securities in the Fund's  portfolio and thus could have an effect
on the net asset  value of the Fund if other  types of  securities  did not show
offsetting  changes in value.  The  secondary  market  value of  corporate  debt
securities  structured as zero coupon


                                                                               5
 
<PAGE>
<PAGE>
BURNHAM
 ----
 Fund


securities  or payment in kind  securities  may be more  volatile in response to
changes in interest rates than debt securities  which pay interest  periodically
in cash. Because such securities do not pay current interest, but rather, income
is accreted,  to the extent that the Fund does not have  available  cash to meet
distribution  requirements  with respect to such income, it could be required to
dispose of portfolio  securities that it otherwise  would not. Such  disposition
could  be  at  a  disadvantageous   price.   Failure  to  satisfy   distribution
requirements  could  result in the Fund  failing to  qualify  as a  pass-through
entity  under the  Internal  Revenue  Code of 1986,  as  amended  (the  "Code").
Investment in such securities also involves certain other tax considerations.

   The Adviser values the Fund's investments  pursuant to guidelines adopted and
periodically  reviewed  by  the  Board  of  Directors.  See  "Net  Asset  Value,
Dividends,  Capital  Gains  Distributions  and Taxes"  in the Prospectus. To the
extent that there is no established retail market for some of the medium or  low
grade corporate debt securities in which the Fund may invest,  there may be thin
or no trading in such securities and the ability of the  Adviser  to  accurately
value  such  securities  may  be  adversely  affected.  Further, it may  be more
difficult for the Fund to sell such securities in a timely  manner  and at their
stated  value than would be the case  for  securities  for which an  established
retail market  does exist.  During  periods of reduced  market  liquidity and in
the absence of readily  available  market  quotations for medium and lower grade
corporate debt securities held in the Fund's  portfolio,  the  responsibility of
the Adviser  to value the  Fund's  securities  becomes more  difficult  and  the
Adviser's judgment may play a  greater  role  in  the  valuation  of the  Fund's
securities  due to a reduced  availability  of reliable  objective  data. To the
extent that the Fund  purchases  illiquid corporate debt  securities  which  are
restricted  as  to  resale, the  Fund  may  incur  additional  risks and  costs.
Illiquid  and  restricted securities may be  particularly difficult to value and
disposition may require greater effort and expense than more liquid  securities.
Further, the  Fund  may be required  to  incur  costs  in  connection  with  the
registration  of  restricted securities  in order to dispose of such securities,
although  under Rule 144A under the  Securities  Act of 1933 certain  securities
may  be  determined to be liquid  pursuant to  procedures  adopted by the Fund's
Board of Directors  under applicable guidelines.

                             Investment Restrictions

   The Fund has adopted certain fundamental investment restrictions, under which
the Fund may not:

   1. Borrow money,  except from banks as a temporary  measure for extraordinary
or emergency  purposes,  and then not in an amount in excess of 10% of the value
of the Fund's total assets,  inclusive of the amount borrowed.  The Fund has not
borrowed  money  and does not  currently  intend  to  borrow  money to an extent
exceeding 5% of its total assets.  If the value of the Fund's assets  (including
the amount borrowed), less its liabilities not including any borrowing,  becomes
at any time less than 300% of the amount of any outstanding bank debt, the Fund,
within three business days, will reduce its bank debt to the extent necessary to
meet the  required  300% asset  coverage.  Such a  reduction  is required by the
provisions of the  Investment  Company Act of 1940, as amended (the "1940 Act").
This may require sales at a time when it is disadvantageous to do so. The amount
of any borrowing will be limited by any applicable margin limitations imposed by
Federal Reserve Board regulations.

   2. Engage in short sales,  other than short sales  "against  the box".  Short
sales  occur  "against  the  box"  when  the  Fund  contemporaneously  owns  the
underlying securities or securities  substantially  identical to, or convertible
into, securities equivalent in kind and amount to those sold short.

   3. Make loans of money to other persons,  except that this restriction  shall
not prohibit  (a) the purchase of a portion of an issue of publicly  distributed
debt  securities,  (b) the loan of portfolio  securities  and (c) the entry into
repurchase  agreements  or the sale of  securities  coupled with a  simultaneous
agreement to repurchase them from the buyer.  Under current  interpretations  of
the staff of the  Securities and Exchange  Commission  (the  "Commission"),  and
subject  to  changes  in such



6
 
<PAGE>
<PAGE>
                                                                         BURNHAM
                                                                           ----
                                                                           Fund


interpretations,  the Fund may enter into such  repurchase or resale  agreements
having a duration of more than seven days only to an extent which, when added to
all other  illiquid  assets,  would not exceed 10% of the Fund's  total  assets.
Other than the purchase of publicly  distributed debt  securities,  the Fund has
not engaged in such investments or entered into repurchase or resale  agreements
having a duration  of more than seven days and does not  currently  intend to do
so.

   4. Issue any senior  securities,  except insofar as bank borrowings  might be
considered as the issuance of senior securities.

   5. Invest in companies for the purpose of exercising control or management of
such companies.

   6. Invest in the securities of other investment companies, unless acquired in
connection with a plan of reorganization.

   7.  Invest in the  securities  of any  issuer  if, at the time of the  Fund's
purchase or holding thereof,  any of the officers or directors of the Fund or of
the  Adviser  owns  beneficially  more  than 1/2 of 1%,  and such  officers  and
directors owning more than 1/2 of 1% together own beneficially  more than 5%, of
the issuer's securities.

   8.  Purchase  securities  on margin,  except  that the Fund may  obtain  such
short-term  credits as are  necessary  for the  clearance of  transactions.  For
purposes of this  restriction,  the making of margin deposits in connection with
transactions in options is not deemed to be a purchase of securities on margin.

   9. Purchase and sell limited partnership interests, real estate,  commodities
or commodity  contracts  except in connection  with a merger,  consolidation  or
reorganization  of a corporation or other  organization in which the Fund has an
investment,  or in  satisfaction of a debt. Any limited  partnership  interests,
real estate,  commodities or commodity contracts so acquired will be disposed of
as soon as  reasonably  practicable  consistent  with the best  interests of the
Fund's shareholders.

   10. Write or purchase  options or warrants or lend  portfolio  securities  in
excess of the limitations specified,  respectively,  under "Warrants," "Options"
and "Lending Portfolio Securities," above.

   11.  Pledge,  mortgage or  hypothecate  its assets,  except when necessary to
secure  borrowings  of money,  but then not in an amount in excess of 15% of the
value of the Fund's net assets.  However,  the Fund's  Board of  Directors  (the
"Board" or the "Board of Directors") currently has a policy, which is subject to
change without shareholder approval, not to pledge,  mortgage or hypothecate its
assets  in excess of 10% of its net  assets at market  value.  The Fund does not
currently  intend  to pledge  its  assets.  For  purposes  of this  restriction,
collateral or escrow arrangements with respect to the writing of options are not
deemed to be pledges of assets.

   12.  Underwrite  the  securities  of other  issuers,  or  acquire  restricted
securities  which  the  Fund  may not be free  to  sell  to the  public  without
registration of the securities under the Securities Act of 1933, as amended (the
"1933 Act"), if such  acquisition  would cause the Fund to have more than 10% of
the  value  of its  total  assets  invested  in such  securities.  It shall be a
condition of any such investment that the issuer of the securities  purchased by
the Fund will,  upon  specified  circumstances,  file a  registration  statement
relating  to the  securities  and the seller or issuer will pay the cost of such
registration statement. However, at the present time, the Board of Directors has
a policy  which is subject to change at any time  without  shareholder  approval
which limits such investments to 5% of the value of the Fund's net assets.

   13.  Invest  more  than 5% of the value of its  total  assets  in the  equity
securities of any one issuer.

   14. Invest in more than 10% of the outstanding  voting  securities of any one
issuer or in more than 10% of any class of securities of any one issuer  (except
government obligations).

   15.  Invest more than 5% of the value of its total  assets in  securities  of
companies which (with their  predecessors)  have not had at least three years of
continuous  operations.  The Board of  Directors  has adopted a policy  which is
subject to change at any time, 



                                                                               7
 
<PAGE>
<PAGE>
BURNHAM
 ----
 Fund


that this restriction includes equity securities which, at the time of purchase,
the Fund  believes will not be resalable  within a reasonable  period of time at
prices reasonably related to the market for such securities.

   In addition to the  restrictions  listed above, it is the policy of the Board
of Directors (subject to change without  shareholder  approval) not to invest in
interests in oil, gas or other mineral exploration or development programs.

   Except  with  respect  to the 300%  asset  coverage  required  in the case of
borrowing,  whenever any investment  restriction  states a maximum percentage of
the Fund's assets which may be invested in any security or other property, it is
intended  that such maximum  percentage  limitations  shall be determined at the
time of the  acquisition  of such security or property and shall not be violated
by subsequent  increases in the value  thereof  relative to other assets held by
the Fund.

   The Fund's  fundamental  investment  restrictions  may be changed only by the
approval  of  the  holders  of a  majority  of  the  Fund's  outstanding  voting
securities  (defined  in the 1940 Act as the  lesser  of: (1) 67% or more of the
Fund's voting securities present at a meeting if the holders of more than 50% of
the Fund's outstanding voting securities are present or represented by proxy, or
(2) more than 50% of the Fund's  outstanding  voting  securities).  As indicated
above, certain restrictions are not fundamental and are subject to change by the
Board of Directors without shareholder approval.

                        Purchase and Redemption of Shares

   Reference  is made to the  materials  in the  Prospectus  under the  headings
"Purchase of Shares" and  "Redemption  of Shares," which describe the methods of
purchase and  redemption of shares and discuss the  calculation  of the Offering
Price,  for shares of the  respective  classes.  The Fund  receives the full net
asset value per share and the  Distributor  receives any initial sales charge or
CDSC.  The  Distributor  may  reallow a portion of any initial  sales  charge to
dealers,  as set forth under "Purchase of Shares -- Initial Sales Charges (Class
A Shares)" in the Prospectus.

   The redemption  price of the Fund's shares may, under certain  circumstances,
be paid in whole or in part in portfolio  securities if deemed  advisable by the
Board of Directors.  Any securities thus paid to the shareholder would be valued
as described under "Net Asset Value, Dividends,  Capital Gains Distributions and
Taxes." The subsequent  sale of such  securities of the  shareholder may require
payment of a brokerage commission.


REINVESTMENT  PRIVILEGE (CLASS B & CLASS C SHARES). A shareholder who has made a
partial or complete  redemption of Class  B  or  Class  C  shares  may  reinvest
all or part of the redemption proceeds and receive a pro rata credit towards the
purchase  of Class B or Class C shares of the amount of any CDSC paid,  provided
such reinvestment is made within 30 days after the redemption. Such reinvestment
will be made at the  net  asset  value  next  determined  after  receipt  of the
reinvestment order.


   This  privilege  may  be  exercised  only  once  by  a  shareholder.  If  the
shareholder  has realized a gain on the  redemption,  the transaction is taxable
and reinvestment will not alter any capital gains tax payable. If there has been
a loss on the  redemption,  some or all of the loss may not be  allowed as a tax
deduction depending on the amount reinvested.

   For  purposes of  determining  the amount of CDSC  payable on any  subsequent
redemptions,  the purchase  payment made  through  exercise of the  reinvestment
privilege  will be deemed to have been made at the time of the initial  purchase
(rather than at the time the reinvestment was effected).

                    Net Asset Value, Dividends, Capital Gains
                             Distributions and Taxes

   The  following  supplements  the  material in the  Prospectus  under the same
heading.

NET ASSET VALUE. As described in the  Prospectus,  the net asset value of shares
of each class of the Fund is  computed  once daily as of the close of trading on
the NYSE Monday through Friday (excluding days on which the NYSE is closed). The
NYSE is closed on the following holidays:



8

 
<PAGE>
<PAGE>


                                                                         BURNHAM
                                                                           ----
                                                                           Fund


   
New  Year's Day,  President's  Day, Good Friday, Memorial Day, Independence Day,
Labor Day, Thanksgiving Day and Christmas Day.
    

   Determination of the Fund's total assets is made in accordance with generally
accepted accounting  principles,  ordinarily valuing each listed security in the
Fund's portfolio at its last sale price on the day of valuation on the principal
exchange on which it is traded, or if there was no sale on such day, at the mean
of the last reported bid and asked prices  (rounded  down to the lower  eighth).
Each security traded in the over-the-counter market (including securities listed
on exchanges the primary market for which is believed to be over-the-counter) is
valued at the mean of the last  reported bid and asked prices  (rounded  down to
the lower  eighth).  When the Fund sells short against a security which it has a
right to  acquire,  it will  value its  liability  at the  asked  price for that
security.  Investments for which market quotations are not readily available and
investments which the Fund might not be able to sell without registration of the
securities  under  the  1933  Act are  valued  on the  basis  of fair  value  as
determined in good faith by the Board of Directors.  Securities primarily traded
as a unit will be valued at the unit price.  Short-term money market instruments
which have a maturity of more than 60 days are valued at prices  based on market
quotations for securities of similar type, yield and maturity.  Short-term money
market  instruments  which  have a  maturity  of 60 days or less are  valued  at
amortized cost which approximates value.

TAX STATUS.  The Fund intends to pay dividends  representing its realized income
and gains within certain time periods  specified in the Code. By doing so and by
meeting  certain  requirements  including  diversification  of assets,  the Fund
intends to qualify as a regulated  investment  company under Subchapter M of the
Code.  Since the Fund will  distribute  annually its investment  company taxable
income,  net capital gains, and capital gains net income, it will not be subject
to income or excise taxes  otherwise  applicable  to  undistributed  income of a
regulated  investment  company.  If the Fund were to fail to distribute  all its
income and gains in a timely  manner,  it would be subject to income tax and, in
certain circumstances, a 4% excise tax.

TAXATION OF SHAREHOLDERS. Dividends from net investment income and distributions
from  short-term  capital gains are taxable to  shareholders  as ordinary income
whether such  dividends  are paid in cash or in  additional  shares of the Fund.
Distributions  from net long-term  capital gains are taxable to  shareholders as
long-term  capital gains  regardless of the length of time the shares in respect
of which such distributions are received have been held.

   Distributions  reflecting the Fund's qualifying dividend income from domestic
corporations  will generally  qualify for the 70% dividends  received  deduction
available to  corporate  shareholders  if the Fund does not sell the  underlying
stock before satisfying a 46-day holding period requirement (91 days for certain
preferred stock) and the shareholder holds the Fund shares for at least 46 days.
For this  purpose,  the holding  period is reduced for periods  during which the
Fund  reduces its risk of loss from holding the stock  (e.g.,  by entering  into
options contracts).

   Individuals  and other  non-exempt  payees  will be  subject  to a 31% backup
Federal  withholding tax on dividends and other  distributions from the Fund, as
well as on the  proceeds  of  redemptions  of Fund  shares,  if the  Fund is not
provided  with the  shareholder's  correct  taxpayer  identification  number and
certification that the shareholder is not subject to such backup withholding, or
if the  Internal  Revenue  Service  notifies the Fund that the  shareholder  has
failed to report  properly  interest or  dividends.  For most  individuals,  the
taxpayer identification number is the taxpayer's social security number.

TAX  TREATMENT  OF CERTAIN  TRANSACTIONS.  In  general,  if the Fund enters into
combinations  of  investment  positions by virtue of which its risk of loss from
holding an  investment  position  is  reduced on account of one (or more)  other
positions,  losses or deductions realized on one position may be deferred to the
extent of any unrecognized  gain on another position and long-term capital gains
or short-term capital losses may be


                                                                               9

 
<PAGE>
<PAGE>
BURNHAM
 ----
 Fund


recharacterized,   respectively,  as  short-term  gains  and  long-term  losses.
Investments  in foreign  currency  denominated  instruments  or  securities  may
generate, in whole or in part, ordinary income or loss.

   The Federal  income tax  treatment of gains and losses  realized from options
transactions  entered  into by the Fund will be as follows:  Gain or loss from a
closing  transaction  with respect to options sold by the Fund, or gain from the
lapse of any such option,  will be treated as  short-term  capital gain or loss;
gain or loss  from the sale or  exchange  of put or call  options  that the Fund
purchases,  and loss attributable to the lapse of such options,  will be treated
as capital gain or loss.  (The  capital gain or loss will be long or  short-term
depending  upon whether or not the  affected  option has been held for more than
one year.) For this purpose,  an unexercised  option will be deemed to have been
sold on the date it expired.

   Any listed  stock  index  option held by the Fund at the close of its taxable
year will be treated as sold for its fair market value on the last  business day
of such  taxable  year.  Sixty  percent of any gain or loss with respect to such
deemed  sales,  as well as the gain or loss  from  the  termination  during  the
taxable year of the Fund's  obligation  (or rights) with respect to such options
by offsetting,  by exercise or being exercised, by assignment or being assigned,
by lapse,  or otherwise,  will be treated as long-term  capital gain or loss and
the remaining forty percent will be treated as short-term capital gain or loss.

   In addition to the Federal income tax  consequences  described above relating
to an  investment  in the Fund,  there  may be other  Federal,  state,  local or
foreign tax considerations that depend upon the circumstances of each particular
investor.  Prospective  shareholders  are  therefore  urged to consult their tax
advisors  with  respect to the  effects  of this  investment  on their  specific
situations.

                    Investment Management and Other Services

THE  INVESTMENT  ADVISER.   The  Fund's  investment  adviser  is  Burnham  Asset
Management  Corporation,  an affiliate of Burnham  Securities  Inc.,  the Fund's
principal distributor. Its address is 1325 Avenue of the Americas, New York, New
York 10019.



FUND OPERATIONS AND  ADMINISTRATION.  Subject to the supervision of the Board of
Directors,  the Fund's  administration  and  day-to-day  operations are run by a
staff, trained in accounting and shareholder services,  which is provided by the
Adviser and the Distributor,  with compensation as established by the Investment
Advisory  Contract (as defined  below)  between the Fund and the  Adviser.  Such
personnel are responsible for all internal accounting  services,  as well as the
overall  review of the  administrative  services,  including  but not limited to
bookkeeping,  pricing of Fund  securities,  pricing sales and redemptions of the
Fund's shares,  communication with  shareholders,  responding to shareholder and
broker inquiries,  maintenance of records, coordination of portfolio activities,
preparation of  shareholder  reporting and  regulatory  requirements  (including
quarterly reports, annual reports, proxy material, prospectuses and transmission
of information for newspaper and statistical  services) and periodic reports and
portfolio analysis for the Board and the Adviser.



   The  Investment  Advisory  Contract  between  the Fund and the  Adviser  (the
"Investment  Advisory  Contract")  requires the Adviser to furnish  research and
statistical  services,  advice,  reports  and  recommendations  for  the  Fund's
portfolio.  The Adviser also acts as the Fund's  financial  agent, and furnishes
the Fund with office space,  other  facilities and  administrative  and clerical
services and personnel as indicated above.

   The  Investment  Advisory  Contract  requires that the Adviser give equitable
treatment  to  the  Fund  under  the  circumstances  in  supplying  information,
recommendations  and  other  services,  but  provides  that the  Adviser  is not
required to give the Fund preferential  treatment as compared with the treatment
given any other client.

   For its services, the Adviser receives a monthly fee at an annual rate of 5/8
of 1% of the Fund's average daily net asset values. The advisory fee voluntarily
will be reduced (but not below zero), if necessary, to comply with certain state
securities  regulations  which  currently 




10

 
<PAGE>
<PAGE>
                                                                         BURNHAM
                                                                           ----
                                                                           Fund

   
limit the annual expenses of the Fund,  including the advisory fee but excluding
taxes, brokerage, interest and certain distribution, custodial and extraordinary
expenses to 2.5% of the first  $30,000,000 of the Fund's average net assets,  2%
of the next  $70,000,000 and 1.5% of the remaining  average net assets.  For the
year ended December 31, 1996, the Fund incurred  investment advisory fees in the
amount of $711,676.  The Fund's expenses did not exceed the expense  limitation.
During the year ended December 31, 1995, the Fund paid investment  advisory fees
in the amount of $658,253.  During the year ended  December  31, 1994,  the Fund
paid  investment  advisory  fees in the  amount of  $679,613.  The  Adviser  has
voluntarily  agreed to  reimburse  expenses of the Class B and Class C shares in
order to limit  expenses  to an  annual  rate of 2.3%  and  2.3%,  respectively.
Accordingly for the year ended December 31, 1996, the Adviser has reimbursed the
Class B and Class C shares  $57  and  $289,  respectively.  The Adviser reserves
the right to discontinue this policy at any time.
    

   Under the Investment Advisory Contract, the Fund pays all of its own expenses
other than such as are the responsibility of the Adviser (including office space
and  compensation  of directors,  officers and employees who are affiliated with
the Adviser or the Distributor).  Expenses payable by the Fund include,  but are
not limited to, the following: the fees of directors who are not affiliated with
the  Adviser or the  Distributor,  the fees of its  custodian,  transfer  agent,
independent accountants and legal counsel;  franchise,  income and similar taxes
imposed  on the Fund as a  corporation;  expenses  of  preparing,  printing  and
mailing shareholder communications;  and other expenses of operating the Fund as
a corporation.

   
   The Investment  Advisory Contract was initially  approved by the shareholders
on August 9,  1989,  and by the Board of  Directors  on June 7,  1989,  and will
continue in effect until  terminated  if approved  annually by a majority of the
Board,  including a majority of the directors who are not  "interested  persons"
(as defined in the 1940 Act) of the  Adviser,  or of the Fund,  by votes cast in
person at a meeting called for the purpose of voting on such approval. The Board
of Directors last approved the Investment Advisory Contract on June 27, 1996. On
60 days'  written  notice,  the  Investment  Advisory  Contract is terminable by
either party thereto,  and, in the case of the Fund, by the Board or by the vote
of the holders of a majority of the Fund's  outstanding  voting  securities,  as
defined   previously.   The   Investment   Advisory   Contract  will   terminate
automatically in the event of any assignment.
    

   The Investment  Advisory  Contract  provides that the Adviser shall be liable
for willful misfeasance,  bad faith, gross negligence,  or reckless disregard of
its obligations under the contract and provides that the Adviser, subject to the
foregoing,  shall not be liable  for any  action  taken or  omitted on advice of
counsel  obtained in good faith,  provided such counsel is  satisfactory  to the
Fund.

DISTRIBUTOR.   Under  the  Distribution   Contract  between  the  Fund  and  the
Distributor,  as amended (the "Distribution Contract"),  the Distributor acts as
the principal  distributor of the Fund's  shares.  The initial sales charges and
CDSCs  received  by  the  Distributor  are  described  in the  Prospectus  under
"Purchase  of Shares"  and  "Redemption  of  Shares".  The  Distributor  also is
compensated  under  the  Rule  12b-1  distribution  plans  as  described  in the
Prospectus  under  "Distribution -- Distribution  Plan",  and as described more
fully below.

DISTRIBUTION  PLANS.  The Fund has adopted a  distribution  plan for each of the
Class A shares,  Class B shares  and Class C shares  of the Fund (a  "Plan")  in
accordance  with Rule 12b-1 under the Act, to compensate the Distributor for the
services  it  provides  and for the  expenses  it bears  under the  Distribution
Contract.

   A report of the amounts so expended must be made to the Board and reviewed by
the Board at least quarterly. In addition, each Plan provides that it may not be
amended  to  increase   materially  the  costs  which  the  Fund  may  bear  for
distribution  pursuant to the Plan without  shareholder  approval and that other
material  amendments  to the Plan must be  approved  by a majority of the Board,
including a majority of the Board who are  neither  "interested  persons" of the
Fund (as defined in the Act) nor have any direct or indirect  financial interest
in the operation of the Plan (the "Qualified Directors"),


                                                                              11
 
<PAGE>
<PAGE>
BURNHAM
 ----
 Fund


by vote cast in person at a meeting called for the purpose of  considering  such
amendments.

   Each Plan is subject to annual approval by a majority of the Board, including
a  majority  of the  Qualified  Directors,  by vote  cast in person at a meeting
called for the  purpose of voting on the Plan.  Each Plan is  terminable  at any
time by vote of a majority of the  Qualified  Directors or by vote of a majority
of the shares of the applicable class.  Pursuant to each Plan, any new directors
who are not "interested persons" must be nominated by existing directors who are
not  "interested  persons." Each Plan will continue from year to year,  provided
that such continuance is approved  annually by a vote of the Board in the manner
described above.

   If a Plan is  terminated  (or not  renewed)  with  respect to any one or more
classes,  another  Plan may  continue in effect with  respect to any class as to
which it has not been terminated (or has been renewed).

   Because  amounts  paid  pursuant to a Plan are paid to the  Distributor,  the
Distributor  and its  officers,  directors and employees may be deemed to have a
direct or indirect  financial interest in the operation of the Plan. None of the
Fund's  directors  who is not an  interested  person of the Fund has a direct or
indirect financial interest in the operation of any Plan.

   Benefits from the Plans may accrue to the Fund and its shareholders  from the
growth in assets due to increased  sales of shares to the public pursuant to the
Plans.  Increases  in net assets  from sales  pursuant  to the Plans may benefit
shareholders by reducing per share  expenses,  permitting  increased  investment
flexibility and  diversification of assets, and facilitating  economies of scale
(e.g., block purchases) in securities transactions.

   
   The Plans for Class A, Class B and Class C shares were most recently approved
as adopted by the Board,  including a majority of the Qualified Directors,  at a
meeting of the Board held on June 27, 1996.  Prior to approving  the adoption of
the  Plans,  the Board  requested  and  received  from the  Distributor  all the
information which it deemed necessary to arrive at an informed  determination as
to whether the Plans should be adopted. In making its determination to adopt the
Plans, the Board considered,  among other factors:  trends in pricing structures
for funds distributed through dealer networks and determined that the ability to
compensate  third  party  broker-dealers  for  promoting  and selling the Fund's
shares  would  likely  increase  sales,  enhance the Fund's  ability to maintain
accounts and therefore  improve asset  retention.  The Board also concluded that
third party marketing efforts under the Plans, if successful, could increase the
Fund's  ability to maintain a stable  level of net  assets,  which could in turn
contribute to the stability of the Fund's portfolio positions and afford greater
flexibility  in pursuing the Fund's  investment  objectives.  The Board,  and in
particular,  the Qualified  Directors,  recognized that they are able to monitor
the nature, manner and amount of expenditures under the Plans by reviewing, on a
quarterly basis,  reports of the  Distributor's  expenditures,  and that, at any
time, they could terminate the Plans and thereby end all obligations of the Fund
to  make  payments   thereunder,   if  they  deemed  it  appropriate  under  the
circumstances. Based upon its review, the Board, including each of the Qualified
Directors,  determined  that adoption of the Plans would be in the best interest
of the Fund,  and that there was a reasonable  likelihood  that  adoption of the
Plans would  benefit  the Fund and its  shareholders.  In the Board's  quarterly
review of the Plans, they will consider their continued  appropriateness and the
level of compensation provided therein.
    

   Although there is no legal  obligation for the Fund to pay expenses  incurred
by the  Distributor  in excess of  payments  made to the  Distributor  under the
Plans,  if for any reason the Plans are  terminated,  the Board will consider at
that time the manner in which to treat such expenses.  Any  cumulative  expenses
incurred by the Distributor but not yet recovered through  distribution fees may
or may not be recovered through future  distribution  fees. If the Distributor's
actual  distribution  expenditures  in a given  year are less  than  Rule  12b-1
payments  it  receives  from the Fund for that  year,  and no effect is given to
previously  accumulated  distribution  expenditures  in excess of the Rule 12b-1
payments borne by the Distributor  out of its own resources in other years,


12
 
<PAGE>
<PAGE>
                                                                         BURNHAM
                                                                           ----
                                                                           Fund


the difference could be viewed as "profit" to the Distributor for that year.

   
   Under  the  Distribution  Contract,  the  Distributor  bears  the cost of the
expenses of printing  all sales  literature  and  prospectuses  required for the
Distributor's purposes; however, the Distributor may apply amounts retained from
sales commissions,  CDSCs and distribution fees towards such expenses. The costs
of  printing  the  Fund's  reports to  shareholders  and  maintaining  a current
prospectus,  and related  accounting  and legal fees,  are paid by the Fund. The
Distributor earned $127,402, $183,771 and $200,001 in brokerage commissions from
Fund transactions and $12,067, $11,368 and $12,363 in sales commissions from the
distribution  of Fund shares for the years ended  December  31,  1996,  1995 and
1994.
    

   
   The  Distribution  Contract  was  approved  initially by the Board on June 7,
1989,  was amended as of July 1, 1993,  and will continue in effect from year to
year if approved at least  annually by the Board or by the vote of a majority of
the  outstanding  voting  securities of the Fund, as well as, in either case, by
the  vote  of a  majority  of  those  directors  who  are  not  parties  to  the
Distribution Contract or interested persons of either such party. The Board last
approved the Distribution Contract, as amended, on June 27, 1996.
    

CUSTODIAN, TRANSFER AGENT AND DIVIDEND PAYING AGENT. State Street Bank and Trust
Company, P.O. Box 8505, Boston, Massachusetts 02266-8505. State Street serves as
custodian  of the Fund's securities and cash and as transfer agent and  dividend
paying agent for the Fund.  Compensation for such services is based on schedules
of charges  agreed on by the Fund and State  Street  from time to time.

   
INDEPENDENT ACCOUNTANTS.  Coopers & Lybrand L.L.P., 1301 Avenue of the Americas,
New York, New York, has been selected as  independent  accountants  for the Fund
for its fiscal year ending December 31, 1997. In addition to reporting  annually
on the financial  statements of the Fund,  the Fund's  accountants  will provide
assistance and  consultation  with respect to the preparation of certain filings
of the Fund with the  Commission.  The selection of  independent  accountants is
subject to annual ratification by the Board of Directors.
    

                       Directors and Officers of the Fund
   The overall  direction and supervision of the Fund is the  responsibility  of
the Board of  Directors,  which has the  primary  duty of seeing that the Fund's
general  investment  policy and  programs  are  carried  out and that the Fund's
portfolio is properly  administered.  The directors and officers of the Fund and
their principal occupations during at least the past five years are:


I.W.  BURNHAM,  II *,  Chairman and Director,  1325 Avenue of the Americas,  New
York,  New York.  Honorary  Chairman  of the Board of Burnham  Asset  Management
Corporation and Burnham Securities Inc.  Former Director of Contel Inc.


JON M. BURNHAM*, President, Chief Executive Officer and Director, 1325 Avenue of
the Americas, New York, New York. Chairman, Chief Executive Officer and Director
of Burnham Asset Management
Corporation and Burnham Securities Inc. Son of I.W. Burnham, II.


CLAIRE B. BENENSON,  Director,  870 United  Nations  Plaza,  New York, New York.
Consultant  on  Financial  Conferences;  Trustee of Zweig Series  Trust.  Former
Director of  Financial  Conferences  and  Chairman,  Department  of Business and
Financial Affairs, The New School for Social Research.


LAWRENCE N. BRANDT,  Director,  2510 Rockcreek  Drive,  N.W.,  Washington,  D.C.
President of Lawrence N. Brandt, Inc. (Real Estate Development).

   
    


ALVIN P.  GUTMAN,  Director,  One  Belmont  Avenue,  Bala-Cynwyd,  Pennsylvania.
Chairman of the Board of Pressman-Gutman Co., Inc. (textile converters).

                                                                              13


 
<PAGE>
<PAGE>
BURNHAM
 ----
 Fund


WILLIAM W. KARATZ,  Director,  1 Battery Park Plaza, New York, New York.  Senior
counsel to, and formerly a partner in, the law firm of Winthrop, Stimson, Putnam
& Roberts.


   
JOHN C.  MCDONALD,  Director,  264 Mill Road,  New Canaan,  Connecticut.
President of MBX Inc.  (telecommunications).  Former Director and Executive Vice
President-Technology,  Contel  Corporation  (telecommunications).   Director  of
Transwitch Corporation (semiconductors).
    

   
    

DONALD B. ROMANS, Director, 233 East Wacker Drive, Chicago, Illinois.  President
of Romans and Company (Private Investors and Financial Consultants);  Trustee of
Zweig Series Trust.


   
ROBERT  F.  SHAPIRO, Director, 787 Seventh Avenue, New York, New York. President
of RFS & Associates, Inc. (investment and consulting  firm). Former  Co-Chairman
of Wertheim Schroder & Co., Inc. and Director of Schroders P.L.C., London; prior
thereto,  President  of  Wertheim & Co.,  Inc.  and  Partner of  Wertheim & Co.;
Director  of TJX  Companies,  Inc.,  Independent  General  Partner of  Equitable
Capital Partners L.P. and Equitable General Partners  (Retirement  Fund),  L.P.;
Chairman, New Street Capital Corp. and Director of American Buildings Company.
    

ROBERT M.  SHAVICK,  Director,  601 Bayport Way,  Longboat Key,  Florida.  Legal
Consultant; Member, Panel of Arbitrators,  American Arbitration Association, New
York Stock Exchange and National Association of Securities Dealers,  Inc. Former
Director of Florida Business Journal, Public Trustee-Pension Funds for employees
of the Town of Longboat Key,  Florida,  Hearing Officer Sarasota Manatee Airport
Authority and Mediator, Circuit and County Courts, Florida.


DAVID H. SOLMS,  Director,  Coventry House 7301 Coventry  Avenue,  Melrose Park,
Pennsylvania.  Retired.  Former  consultant  to GMAC Mortgage  Corporation,  and
former President of the Investment Adviser to Mortgage and Realty Trust.


ROBERT S.  WEINBERG,  Director,  5585  Pershing  Avenue,  St.  Louis,  Missouri.
President of R.S.  Weinberg &  Associates  (management  consultants)  and former
Professor of Marketing Management,  John M. Olin School of Business,  Washington
University in St. Louis, Mo.

ROBERT J. WILBUR, Director, 5141 S.E. Brandywine Way, Stuart, Florida.  Retired.
Former  Vice  President  and  General  Manager  of the  Nassau  Branch of Morgan
Guaranty Trust Company.


MICHAEL E. BARNA, First Vice President,  Chief Financial Officer,  Treasurer and
Secretary, 1325 Avenue of the Americas, New York, New York. First Vice President
and Assistant Secretary of Burnham Asset Management Corporation.

   
RONALD M. GEFFEN,  Vice  President,  1325 Avenue of the Americas,  New York, New
York.  Managing Director  of Burnham  Asset  Management  Corporation and Burnham
Securities Inc.
    

DEBRA B. HYMAN, Executive Vice President, 1325 Avenue of the Americas, New York,
New York.  Vice President of Burnham Asset  Management  Corporation  and Burnham
Securities Inc. Daughter of Jon M. Burnham and  granddaughter  of  I.W. Burnham,
II.


FRANK A. PASSANTINO,  Vice President and Assistant Secretary, 1325 Avenue of the
Americas,  New York,  New York.  Vice  President  of  Burnham  Asset  Management
Corporation and Burnham Securities Inc.


LOUIS  S.  ROSENTHAL,  Vice  President,  30  South  17th  Street,  Philadelphia,
Pennsylvania. First Vice President of Prudential Securities Inc.

   
    



14



 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                           ----
                                                                           Fund

- --------------------------------------------------------------------------------

* Every  director  who is an  "interested  person" of the Fund,  as such term is
defined in the 1940 Act, is indicated by an asterisk.

   
   As of December 31, 1996,  the officers and directors of the Fund, as a group,
owned less than 3% of the outstanding shares of the Fund.
    

   
   The officers and directors of the Fund affiliated with the Distributor or the
Adviser receive no direct  compensation  from the Fund for their services to it.
Each  director of the Fund who is not so affiliated  receives  $3,000 per annum,
plus  $500  and  expenses  for each  Board of  Directors  meeting  attended.  In
addition,  the Fund does not offer pension or  retirement  benefits to directors
and officers of the Fund.  During the fiscal year ended  December 31, 1996,  the
directors  of the Fund  who were not so  affiliated  received  an  aggregate  of
$79,811 as directors' fees and expenses.
    



   
<TABLE>
<CAPTION>

- ------------------------------------------------------------------------------------------------------------------------------------
    (1)                                                 (2)                   (3)                     (4)               (5)         
- ------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                 Total Compensation
                                                                                                                   from Registrant
                                                     Aggregate                                     Estimated           and Fund
                                                   Compensation         Pension Retirement           Annual        Complex Paid to
   Name of Person,                             from Registrant for  Benefits Accrued as          Benefits upon       Trustees for
    Position                                        Fiscal Year        Part of Fund Expense        Retirement       Calendar Year
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                   <C>                      <C>                      <C>             <C>   
   Claire B. Benenson, Director                       $6,000                   0                        0               $6,000
   Lawrence N. Brandt, Director                            0                                                                 0
   Richard E. Deems, Director                         $6,000                   0                        0               $6,000
   William W. Karatz, Director                        $5,000                   0                        0               $5,000
   John C. McDonald, Director                         $5,000                   0                        0               $5,000
   Cruse W. Moss, Director                            $4,000                   0                        0               $4,000
   Donald B. Romans, Director                         $6,000                   0                        0               $6,000
   Robert F. Shapiro, Director                        $5,000                   0                        0               $5,000
   Robert M. Shavick, Director                        $5,000                   0                        0               $5,000
   David H. Solms, Director                           $5,000                   0                        0               $5,000
   Robert S. Weinberg, Director                       $5,000                   0                        0               $5,000
   Robert J. Wilbur, Director                         $5,000                   0                        0               $5,000
</TABLE>
    


   
   As of April 15, 1997, to the knowledge of  management,  each of the following
persons  beneficially  owned more than 5% of the outstanding shares with respect
to Class B shares of the Fund.  The  percentage of ownership is noted beside the
specific class of shares held in the Fund.
    



   THE BURNHAM FUND-CLASS B SHARES

   
<TABLE>
<CAPTION>

Registration Name              % of Fund Held
- -----------------              --------------
<S>                                 <C>
Lewco Securities Corp.
   34 Exchange Place, 4th Fl.
   Jersey City, NJ 07302-3901       46.52%

Donaldson, Lufkin Jenrette
   Securities Corporation Inc.
   P.O. Box 2052
   Jersey City, NJ 07303-2052       20.90%
</TABLE>
    

   With  respect  to Class A shares,  no  shareholder  maintains  a  controlling
interest of more than 5% of the total outstanding  shares of Class A shares. The
Adviser  maintains  a  controlling  interest  in  Class  C  shares  as the  sole
shareholder of the Class C shares.


                            Services for Shareholders

   The following  information  supplements the material in the Prospectus  under
the heading "Services for Shareholders."

SHAREHOLDER  ACCOUNTS.  For the convenience of investors,  no stock certificates
ordinarily  will be issued  by the Fund,  although  stock  certificates  will be
issued upon the written request of any  shareholder.  Instead,  when an investor



                                                                              15
 
<PAGE>
<PAGE>
BURNHAM
 ----
 Fund

makes his initial  purchase of shares,  an account will be opened for him on the
books of the Fund and his shares will be held by State Street as Transfer Agent.
With the initial  purchase,  the investor  appoints State Street as his agent to
receive all dividends and  distributions and to reinvest them in additional full
and fractional  shares of the same class of shares of the Fund. The distribution
or dividends is automatically  reinvested,  at a price equal to net asset value,
in  shares  of the  class  from  which  the  distribution  was  made,  as of the
ex-dividend date. State Street adds these shares to the  shareholder's  account,
and sends the shareholder a transaction advice. The $250 minimum requirement for
subsequent   investments  does  not  apply  to  reinvestments  of  dividends  or
distributions.   Under  the   automatic   investment   program,   dividends  and
distributions  from shares of one class may not be  reinvested  in shares of any
other class.  Shares of one class may not be  exchanged  for shares of any other
class.

   Shareholders  who do not  wish  to have  their  dividends  and  distributions
automatically  reinvested  may, at any time,  notify State Street to that effect
and,  commencing ten business days after receipt by State Street of such notice,
all future dividends and distributions will be paid to the shareholder by check.

                        Portfolio Turnover and Brokerage

   
PORTFOLIO  TURNOVER.  There  are  no  fixed  limitations  regarding  the  Fund's
portfolio turnover rate.  Securities initially satisfying the basic policies and
objectives  of the Fund may be disposed of when they are no longer  deemed to be
suitable.  Brokerage  costs  to the  Fund  are  commensurate  with  the  rate of
portfolio  activity.  In computing the portfolio  turnover rate, all securities,
the maturities or expiration  dates of which at the time of acquisition  are one
year or less,  are  excluded.  Subject to this  exclusion,  the turnover rate is
calculated  by  dividing  (A) the  lesser  of  purchases  or sales of  portfolio
securities  for the  fiscal  year by (B) the  monthly  average  of the  value of
portfolio  securities  owned by the Fund during the fiscal  year.  For the years
ended December 31, 1996 and 1995, the Fund's portfolio turnover rates were 61.5%
and 78.3%, respectively.
    


PLACEMENT OF PORTFOLIO  BROKERAGE.  As a general matter,  purchases and sales of
portfolio  securities  of the Fund are placed by the  Adviser  with  brokers and
dealers who in its opinion  will provide the Fund with the best  combination  of
price  (inclusive  of  brokerage  commissions)  and  execution  for its  orders.
However,  pursuant to the Investment  Advisory  Contract,  consideration  may be
given in the selection of broker-dealers to research provided and payment may be
made of a fee higher than that charged by another  broker-dealer  which does not
furnish research  services or which furnishes  research services deemed to be of
lesser  value,  so long as the  criteria  of  Section  28(e)  of the  Securities
Exchange Act of 1934, as amended (the "1934 Act") are met.  Section 28(e) of the
1934 Act specifies that a person with investment discretion shall not be "deemed
to have acted  unlawfully or to have breached a fiduciary  duty" solely  because
such  person has caused the account to pay a higher  commission  than the lowest
available under certain  circumstances.  To obtain the benefit of Section 28(e),
the  person  so  exercising   investment  discretion  must  make  a  good  faith
determination  that the commissions paid are reasonable in relation to the value
of the brokerage and research  services  provided viewed in terms of either that
particular  transaction  or his  overall  responsibilities  with  respect to the
accounts as to which he exercises investment discretion.

   Currently,  it is not possible to determine  the extent to which  commissions
that reflect an element of value for research services might exceed  commissions
that would be payable for execution  services alone, nor generally can the value
of research services to the Fund be measured.  Research services furnished might
be useful  and of value to the  Adviser  and its  affiliates  in  serving  other
clients as well as the Fund, but on the other hand any research service obtained
by the Adviser or the Distributor  from the placement of portfolio  brokerage of
other  clients  might be useful and of value to the Adviser in carrying  out its
obligation to the Fund.

   As a general matter,  it is the Fund's policy to execute  purchases and sales
of listed portfolio  securities through the Distributor only if, in the judgment
of the Fund and without obligation to seek competitive  bidding, the


16



<PAGE>
<PAGE>
                                                                         BURNHAM
                                                                           ----
                                                                           Fund

Distributor is qualified to obtain the best  combination of price  (inclusive of
brokerage  commissions)  and execution on the particular  transaction.  However,
under the Investment  Advisory  Contract,  the Distributor is entitled to charge
the  Fund  brokerage  commissions  and  derive a profit  therefrom,  subject  to
approval of the amounts so paid by the Fund's "non-interested"  directors in the
course of their review of the Fund's  advisory and brokerage  arrangements.  The
Board of Directors may thus permit the payment to the  Distributor  of brokerage
commissions which,  though possibly higher than the lowest otherwise  available,
nevertheless  result in overall  payments  to the  Distributor  and the  Adviser
which,  together,  are deemed  reasonable  and consistent  with their  fiduciary
responsibilities  to the Fund. The Board has adopted procedures pursuant to Rule
17e-1 under the 1940 Act, in order to ascertain  that the brokerage  commissions
paid to the  Distributor are fair and reasonable in accordance with the criteria
set forth in such Rule.

   No transactions  may be effected by the Fund with the  Distributor  acting as
principal for its own account. Over-the-counter purchases and sales normally are
made with principal marketmakers except where, in the opinion of management, the
best executions are available  elsewhere.  The Distributor may act as broker for
the Fund in over-the-counter  trading.  In executing  transactions for the Fund,
the Distributor treats the Fund in the same manner as any other public customer,
and Fund orders are accorded priority over those received by the Distributor for
its  own  account  or for  the  account  of any of its  officers,  directors  or
employees.

   The Fund may from time to time allocate brokerage  commissions to firms other
than the Distributor  which furnish research and statistical  information to the
Adviser.  The supplementary  research that may be provided by such firms will be
useful in varying degrees and of indeterminable  value. Such research may, among
other things, include advice regarding economic factors and trends, advice as to
occasional transactions in specific securities, and similar information relating
to securities. No formula has been established for the allocation of business to
such brokers. The Distributor will not participate in the brokerage  commissions
allocated to these firms.  Officers and directors of the Fund and of the Adviser
who are also officers or directors of the Distributor  receive indirect benefits
from the Fund as a result of its usual and customary brokerage commissions which
the Distributor may receive for acting as broker to the Fund in the purchase and
sale of portfolio securities.  The Investment Advisory Contract does not provide
for a reduction of the advisory fee by any portion of the brokerage  commissions
generated  by  portfolio  transactions  of the Fund  which the  Distributor  may
receive.

   
   During the year  ended  December  31,  1996,  the Fund paid  total  brokerage
commissions of $227,867.  The amount paid to the  Distributor for the year ended
December 31, 1996 was $127,402,  which represented 67.48% of the total brokerage
commissions paid.
    

                          Determination of Performance

   From  time to time,  the Fund may quote  its  performance  in terms of "total
return" in reports or other  communications  to shareholders,  or in advertising
material.  Total return ("T") is  calculated  by finding the average  compounded
rate of return  over the  number of years in a given  period  ("n")  that  would
equate  a  hypothetical  initial  investment  of  $1,000  ("P")  to  the  ending
redeemable value ("ERV"), according to the following formula:

                              P (1 + T)`pp'n = ERV

   In calculating the above, it is assumed that the maximum sales load (or other
charges  deducted from payments) is deducted from the initial $1,000 payment and
all recurring fees that are charged to all shareholder accounts are included.

   
   The average  annual total return of the Class A shares of the Fund,  assuming
the  reinvestment  of  dividends,  for the one,  five and ten year periods ended
December  31, 1996,  was 11.72%,  9.97% and 10.57%,  respectively.  The  average
annual  returns  of the Class B and Class C shares  of the  Fund,  assuming  the
reinvestment  of dividends for the one year periods ended  December 31, 1996 and
the
    




                                                                              17
 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund
   
life of the class period (October 18, 1993 to December 31, 1996) were 17.34% and
16.56%, and 11.00% and 11.02%, respectively.
    


   The  Fund's  performance  will  vary from  time to time  depending  on market
conditions,  the composition of its portfolio and its operating expenses. Actual
results for each class of the Fund's shares will vary  depending  upon the level
of the class' expenses.  Thus, at any point in time, investment yields,  current
distributions  or total returns may be either higher or lower than past results,
and there is no assurance that any historical  performance record will continue.
Furthermore,  with  respect to Class B shares,  the  investment  results will be
reduced for any investor if a contingent deferred sales charge is imposed on the
redemption of the shares.  Consequently,  any given performance quotation should
not be considered  representative  of the Fund's  performance  for any specified
period in the future.

                              Financial Statements

   
   The  audited  financial  statements  of the Fund for the  fiscal  year  ended
December  31,  1996 and the  report of the  Fund's  independent  accountants  in
connection   therewith  are  included  in  the  Fund's  1996  Annual  Report  to
Shareholders.  The report is  incorporated  by reference  into this Statement of
Additional  Information.  You can obtain a copy of the Fund's 1996 Annual Report
by writing or calling the  Distributor  at the address or telephone  numbers set
forth on the cover of this Statement of Additional Information.
    



18

 
<PAGE>
<PAGE>

                                                                         BURNHAM
                                                                           ----
                                                                           Fund










                      [THIS PAGE LEFT INTENTIONALLY BLANK.]


















                                                                              19



 
<PAGE>
<PAGE>

BURNHAM
 ----
 Fund










                      [THIS PAGE LEFT INTENTIONALLY BLANK.]













20


 
<PAGE>
<PAGE>


                                                                         BURNHAM
                                                                           ----
                                                                           Fund


                                Table of Contents

<TABLE>
<CAPTION>

                                                                             PAGE
                                                                             -----

<S>                                                                            <C>
The Burnham Fund ..........................................................    1

Investment Techniques .....................................................    2

Investment Restrictions ...................................................    6

Purchase and Redemption of Shares .........................................    8

Net Asset Value, Dividends, Capital Gains
    Distributions and Taxes ...............................................    8

Investment Management and Other Services ..................................   10

Directors and Officers of the Fund ........................................   13

Services for Shareholders .................................................   15

Portfolio Turnover and Brokerage ..........................................   16

Determination of Performance ..............................................   17

Financial Statements ......................................................   18
</TABLE>




      Statement of Additional
      Information

   
      April 30, 1997
    


                                                                              21


<PAGE>
<PAGE>



                              THE BURNHAM FUND INC.

   
                         Post-Effective Amendment No. 65
    


                                     PART C

                                OTHER INFORMATION

Item 24.       Financial Statements and Exhibits.

        (a)    Financial Statements:

   
               The following report and financial statements are incorporated in
               Part B by reference to the Fund's Annual Report to Shareholders
               for the year ended December 31, 1996:
    

   
                      Report of Independent Accountants for the year ended
               December 31, 1996; Statement of Net Assets at December 31, 1996;
               Statement of Assets and Liabilities at December 31, 1996;
               Statement of Operations for the year ended December 31, 1996;
               Statement of Changes in Net Assets for each of the two years in
               the period ended December 31, 1996; Notes to Financial
               Statements.
    


        (b)    Exhibits:

                              (1)     *(a)    Articles of
                                              Incorporation.

                                      *(b)    Articles of Amendment, dated
                                              October 15, 1993.

                             *(2)     Amended and Restated By-Laws dated
                                      April 21, 1993.

                             *(4)     Specimen stock certificates for Class A
                                      shares, Class B shares and Class C shares
                                      of the Fund.

                             *(5)     Investment Advisory Contract, as
                                      amended through July 1, 1993.

                              (6)     *(a)    Distribution Contract, as
                                              amended through July 1, 1993.

                                      *(b)    Specimen Selling and Service
                                              Agreement.

- --------
* Previously filed.

                                       C-1

 
<PAGE>
<PAGE>



                             *(8)     Custodian Contract.

                             *(9)     Transfer Agency Agreement.

                            *(10)     Opinion and consent of counsel.

                             (11)     Consent of independent accountants.

                             (14)     *(a)    The Burnham Fund Inc. Money
                                              Purchase Pension Plan/Profit
                                              Sharing Plan.

                                      *(b)    The Burnham Fund Inc. Individual
                                              Retirement Account (IRA).

                            *(15)     Form of Rule 12b-1 Plans for Class A
                                      shares, Class B shares and Class C shares
                                      of the Fund.

                            *(16)     Schedule for Computation of Perfor-
                                      mance Quotations.

                             (17)     Financial Data Schedule

                            *(18)     Rule 18f-3 Multiple Class Plan

                            *(19)     Powers of Attorney.

                                             C-2

 
<PAGE>
<PAGE>



Item 25.         Persons Controlled by or Under Common Control
                 with the Fund.

                 To the knowledge of the Fund, it does not control, is not
                 controlled by, and is not under common control with any other
                 person.

Item 26.         Number of Holders of Securities.

   
<TABLE>
<CAPTION>
                                                   Number of Record Holders
Title of Class                                      as of   March 31, 1997
- --------------                                    ------------------------
<S>                                                             <C>  
Class  A  Shares                                                7,185
Class  B  Shares                                                   58
Class  C  Shares                                                    5
</TABLE>
    


Item 27.       Indemnification.

               All officers, directors, employees and agents of the Fund will be
               indemnified to the fullest extent permitted by law for any
               liabilities of any nature whatsoever incurred in connection with
               the affairs of the Fund, except in cases where willful
               misfeasance, bad faith, gross negligence or reckless disregard of
               duties to the Fund is established. See Article NINTH of
               Registrant's Articles of Incorporation for a more complete
               description of matters related to indemnification. To this end,
               the Fund maintains an Officers' and Directors' Errors and
               Omissions Policy.

Item 28.       Business and Other Connections of Investment Adviser.

               Burnham Asset Management Corporation (the "Adviser"), a Delaware
               corporation, engages in no business other than that of investment
               counseling for clients, including the Registrant. The business
               address for the directors and officers of the Adviser is 1325
               Avenue of the Americas, 17th Floor, New York, New York 10019.


               The officers and directors of the Adviser and their relationships
               with the Fund and with Burnham Securities Inc. (the
               "Distributor") are as follows:



                                             C-3

 
<PAGE>
<PAGE>




   
<TABLE>
<CAPTION>
                                Position with                Position with                Position with
Name                               Adviser                     the Fund                 the Distributor
- ----                     ------------------------     ------------------------     ------------------------
<S>                      <C>                          <C>                         <C>   
I.W. Burnham, II         Honorary Chairman of         Chairman                     Honorary Chairman of
                         the Board and Director       and Director                 the Board and
                                                                                   Director

Jon M. Burnham           Chairman of the Board,       President, Chief Executive   Chairman of the
                         Chief Executive Officer      Officer and Director         Board, Chief Execu-
                         and Director                                                  tive Officer and
                                                                                   Director

George Stark             Senior Vice President        None                         Senior Vice President

Debra B. Hyman           Vice President and           Executive Vice President     Vice President
                         Director

Michael E. Barna         First Vice President         First Vice President,              None
                         and Assistant Secretary      Chief Financial
                                                      Officer, Secretary
                                                      and Treasurer

Frank A. Passantino      Vice President               Vice President and           Vice President
                                                      Assistant Secretary

George Sommerfeld        Executive Vice               None                         Executive Vice
                         President and Chief                                       President and Chief
                         Operating Officer                                         Operating Officer

Ronald M. Geffen         Managing Director            Vice President               Managing Director
</TABLE>
    


     The principal business employment of each officer and director is as
indicated above and as indicated in Part A of this Registration Statement under
"Directors and Officers of the Fund."



                                                C-4

 
<PAGE>
<PAGE>



Item 29.  Principal Underwriters.

                (a)   Burnham Securities Inc. is the principal distributor
                      of the Registrant's shares.

                (b)   The officers and directors of the Distributor who
                      also serve the Fund are as follows:

   
<TABLE>
<CAPTION>
                               Position with                       Position with
Name                            Distributor                             Fund
- ----                           -------------                       -------------
<S>                            <C>                                  <C>
I.W. Burnham, II               Honorary Chairman of                Honorary Chairman of
                               the Board and                       the Board and
                               Director                            Director

Jon M. Burnham                 Chairman of the                     President, Chief
                               Board, Chief Executive              Executive Officer
                               Officer and Director                and Director

Debra B. Hyman                 Vice President                      Executive Vice
                                                                   President

Ronald M. Geffen               Managing Director                   Managing Director

Frank A. Passantino            Vice President                      Vice President and
                                                                   Assistant Secretary
</TABLE>
    


            The principal business address of all such persons is 1325 Avenue of
the Americas, 17th Floor, New York, New York 10019.

               (c)    No commissions or other compensation have been paid by the
                      Fund, directly or indirectly, to any principal underwriter
                      who is not an affiliated person of the Fund or an
                      affiliated person of such an affiliated person during the
                      last fiscal year.

Item 30.       Location of Accounts and Records.

               Burnham Asset Management Corporation
               1325 Avenue of the Americas, 17th Floor
               New York, New York 10019

               State Street Bank and Trust Company
               1776 Heritage Drive
               Quincy, Massachusetts  02171

Item 31.       Management Services.
   
               The Fund has not entered into any management-related service
               contracts not discussed in Part A or B of this Registration
               Statement.


                                       C-5

 
<PAGE>
<PAGE>



Item 32.  Undertakings.

               (a)    The Fund undertakes that, for as long as it does
                      not hold annual meetings for the election of
                      directors, the Board of Directors shall promptly call a
                      meeting of shareholders for the purpose of voting
                      upon the question of removal of any director or
                      directors when requested in writing to do so by the
                      record  holders of not less than 10 percent of the
                      outstanding shares of common stock of the Fund.
                      The Fund  further undertakes not to issue shares
                      for consideration other than cash.

               (b)    The Fund undertakes to provide its Annual Report to
                      Shareholders to each person that receives the Fund's
                      prospectus upon request and without charge.



                                       C-6

 
<PAGE>
<PAGE>



                                   SIGNATURES

   
             Pursuant to the requirements of the Securities Act of 1933 and the
Investment Company Act of 1940, the Registrant (certifies that it meets all of
the requirements for effectiveness of this Registration Statement pursuant to
Rule 485(b) under the Securities Act of 1933 and) has duly caused this
Post-Effective Amendment to be signed on its behalf by the undersigned thereunto
duly authorized in the City and State of New York on the 25th day of April,
1997.
    


                                                     THE BURNHAM FUND INC.

                                                     By /s/ Michael E. Barna
                                                        --------------------
                                                          Michael E. Barna
                                                          First Vice President


   
             Pursuant to the requirements of the Securities Act of 1933, as
amended, this Post-Effective Amendment No. 65 to the Registration Statement on
Form N-1A has been signed below by the following persons in the capacities and
on the dates indicated:
    


   
<TABLE>
<CAPTION>
Signature                                      Title                             Date
- ---------                                      -----                             ----
<S>                                            <C>                               <C>
/s/ I.W. Burnham, II*                          Chairman                          April 25, 1997
- ----------------------------------------       and Director
I.W. Burnham, II                               

/s/ Jon M. Burnham*                            President Chief                   April 25, 1997
- ----------------------------------------       Executive Officer
Jon M. Burnham                                 and Director

/s/ Claire B. Benenson*                        Director                          April 25, 1997
- ----------------------------------------                                         
Claire B. Benenson

/s/ Alvin P. Gutman*                           Director                          April 25, 1997
- ----------------------------------------                                         
Alvin P. Gutman

/s/ William W. Karatz*                         Director                          April 25, 1997
- ----------------------------------------                                         
William W. Karatz

/s/ John C. McDonald*                          Director                          April 25, 1997
- ----------------------------------------                                        
John C. McDonald
- --------
*        By /s/ Michael E. Barna
            ------------------------
            Michael E. Barna
            Attorney-in-fact under
            powers previously filed.

</TABLE>
    

                                      C-7

 
<PAGE>
<PAGE>





   
<TABLE>
<S>                                              <C>                                <C>
/s/ Donald B. Romans*                          Director                          April 25, 1997
Donald B. Romans

/s/ Robert F. Shapiro*                         Director                          April 25, 1997
Robert F. Shapiro

/s/ Robert M. Shavick*                         Director                          April 25, 1997
Robert M. Shavick

/s/ David H. Solms*                            Director                          April 25, 1997
David H. Solms

/s/ Robert S. Weinberg*                        Director                          April 25, 1997
Robert S. Weinberg

/s/ Robert J. Wilbur*                          Director                          April 25, 1997
Robert J. Wilbur
</TABLE>
    


                                       C-8




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

   The dagger symbol shall be expressed as..................... `D'.
   The double dagger symbol shall be expressed as ............. `DD'.
   Mathematical powers normally expressed as superscript
     shall be preceded by...................................... 'pp'.
                            



<PAGE>
<PAGE>

                                                           The Burnham Fund Inc.

                                                                File No. 2-17226




                                    EXHIBITS


                                       TO

   
                         POST-EFFECTIVE AMENDMENT NO. 65
    



                                       TO


                            REGISTRATION STATEMENT ON


                                    FORM N-lA



 
<PAGE>
<PAGE>




                              THE BURNHAM FUND INC.

   
                         Post-Effective Amendment No. 65
    


                                    Exhibits:


                          (1)     *(a)    Articles of Incorporation.

                                  *(b)    Articles of Amendment, dated October
                                          15, 1993.

                         *(2)      Amended and Restated By-Laws dated April 21,
                                   1993.

                         *(4)      Specimen stock certificates for Class A
                                   shares, Class B shares and Class C shares of
                                   the Fund.

                         *(5)      Investment Advisory Contract, as amended
                                   through July 1, 1993.
- --------
* Previously filed.

                                       i

 
<PAGE>
<PAGE>



                          (6)     *(a)  Distribution Contract, as amended
                                        through July 1, 1993.

                                  *(b)  Specimen Selling and Service Agreement.

                          *(8)     Custodian Contract.

                          *(9)     Transfer Agency Agreement.

                         *(10)     Opinion and consent of counsel.

                          (11)     Consent of independent accountants.

                          (14)    *(a)  The Burnham Fund Inc. Money Purchase
                                        Pension Plan/Profit Sharing Plan.

                                  *(b)  The Burnham Fund Inc. Individual
                                        Retirement Account (IRA).


                         *(15)     Form of Rule 12b-1 Plans for Class A shares,
                                   Class B shares and Class C shares of the
                                   Fund.


                         *(16)     Schedule for Computation of
                                   Performance     Quotations.


                          (17)     Financial Data Schedule


                         *(18)     Rule 18f-3 Multiple Class Plan


                         *(19)     Powers of Attorney.

- --------
* Previously filed.

                                       ii


<PAGE>





                 CONSENT OF INDEPENDENT ACCOUNTANTS

    We consent to the incorporation by reference in Post-Effective
Amendment No. 65 to the Registration Statement of The Burnham
Fund Inc. on Form N-1A of our report dated January 20, 1997 on
our audit of the financial statements and financial highlights
of The Burnham Fund Inc. which report is included in its Annual
Report to Shareholders which is also incorporated by reference
in this Post-Effective Amendment to the Registration Statement. 
We also consent to the references to our Firm in the Prospectus
under the captions "Financial Highlights" and "Independent
Accountants" and in the Statement of Additional Information
under the captions "Independent Accountants" and "Financial
Statements."




COOPERS & LYBRAND L.L.P.





New York, New York

April 29, 1997

<PAGE>


<TABLE> <S> <C>

<ARTICLE>                6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE BURNHAM
FUND INC. ANNUAL REPORT DATED DECEMBER 31, 1996 AND IS QUALIFIED IN ITS
ENTIRETY.
</LEGEND>
<CIK>            0000030126
<NAME>           THE BURNHAM FUND INC.
<SERIES>
<NUMBER>         001
<NAME>           CLASS A SHARES
<MULTIPLIER>     1
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               DEC-31-1996
<INVESTMENTS-AT-COST>                       89,908,982
<INVESTMENTS-AT-VALUE>                     118,652,527
<RECEIVABLES>                                  513,404
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                             118,652,527
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                      184,441
<TOTAL-LIABILITIES>                            184,441
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                    84,278,935
<SHARES-COMMON-STOCK>                        4,577,959
<SHARES-COMMON-PRIOR>                        4,832,332
<ACCUMULATED-NII-CURRENT>                    2,427,853
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                      3,531,157
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                    28,230,141
<NET-ASSETS>                               118,468,086
<DIVIDEND-INCOME>                            2,062,066
<INTEREST-INCOME>                            1,842,189
<OTHER-INCOME>                                       0
<EXPENSES-NET>                               1,476,714
<NET-INVESTMENT-INCOME>                      2,427,541
<REALIZED-GAINS-CURRENT>                     5,392,607
<APPREC-INCREASE-CURRENT>                   10,669,966
<NET-CHANGE-FROM-OPS>                       18,490,114
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                  (2,637,095)
<DISTRIBUTIONS-OF-GAINS>                   (4,155,898)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         44,731
<NUMBER-OF-SHARES-REDEEMED>                  (556,676)
<SHARES-REINVESTED>                            257,573
<NET-CHANGE-IN-ASSETS>                       5,787,534
<ACCUMULATED-NII-PRIOR>                        882,239
<ACCUMULATED-GAINS-PRIOR>                    4,078,887
<OVERDISTRIB-NII-PRIOR>                              0
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<AVERAGE-NET-ASSETS>                       113,035,956
<PER-SHARE-NAV-BEGIN>                            23.19
<PER-SHARE-NII>                                   0.51
<PER-SHARE-GAIN-APPREC>                           3.36
<PER-SHARE-DIVIDEND>                            (0.55)
<PER-SHARE-DISTRIBUTIONS>                       (0.86)
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<PER-SHARE-NAV-END>                              25.65
<EXPENSE-RATIO>                                    1.3
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

<PAGE>



<TABLE> <S> <C>

<ARTICLE>                6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE BURNHAM
FUND INC. ANNUAL REPORT DATED DECEMBER 31, 1996 AND IS QUALIFIED IN ITS
ENTIRETY.
</LEGEND>
<CIK>                 0000030126
<NAME>                THE BURNHAM FUND INC.
<SERIES>
<NUMBER>              002
<NAME>                CLASS B SHARES
<MULTIPLIER>          1
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               DEC-31-1996
<INVESTMENTS-AT-COST>                       89,908,982
<INVESTMENTS-AT-VALUE>                     118,139,123
<RECEIVABLES>                                  513,404
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                             118,652,527
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                      184,441
<TOTAL-LIABILITIES>                            184,441
<SENIOR-EQUITY>                                      0
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<SHARES-COMMON-STOCK>                           39,490
<SHARES-COMMON-PRIOR>                           27,030
<ACCUMULATED-NII-CURRENT>                    2,427,853
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                      3,531,157
<OVERDISTRIBUTION-GAINS>                             0
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<DIVIDEND-INCOME>                            2,062,066
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<OTHER-INCOME>                                       0
<EXPENSES-NET>                               1,476,714
<NET-INVESTMENT-INCOME>                      2,427,541
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<APPREC-INCREASE-CURRENT>                   10,669,966
<NET-CHANGE-FROM-OPS>                       18,490,114
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (6,330)
<DISTRIBUTIONS-OF-GAINS>                      (23,246)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         12,016
<NUMBER-OF-SHARES-REDEEMED>                      (807)
<SHARES-REINVESTED>                              1,251
<NET-CHANGE-IN-ASSETS>                       5,787,534
<ACCUMULATED-NII-PRIOR>                        882,239
<ACCUMULATED-GAINS-PRIOR>                    4,078,887
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
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<INTEREST-EXPENSE>                                   0
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<AVERAGE-NET-ASSETS>                           877,920
<PER-SHARE-NAV-BEGIN>                            23.45
<PER-SHARE-NII>                                   0.21
<PER-SHARE-GAIN-APPREC>                           3.69
<PER-SHARE-DIVIDEND>                            (0.18)
<PER-SHARE-DISTRIBUTIONS>                       (0.86)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              26.31
<EXPENSE-RATIO>                                    2.1
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

<PAGE>



<TABLE> <S> <C>

<ARTICLE>                6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE BURNHAM
FUND INC. ANNUAL REPORT DATED DECEMBER 31, 1996 AND IS QUALIFIED IN ITS
ENTIRETY.
</LEGEND>
<CIK>                    0000030126
<NAME>                   THE BURNHAM FUND INC.
<SERIES>
<NUMBER>                 003
<NAME>                   CLASS C SHARES
<MULTIPLIER>             1
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               DEC-31-1996
<INVESTMENTS-AT-COST>                       89,908,982
<INVESTMENTS-AT-VALUE>                     118,139,123
<RECEIVABLES>                                  513,404
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<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                             118,652,527
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                      184,441
<TOTAL-LIABILITIES>                            184,441
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                    84,278,935
<SHARES-COMMON-STOCK>                              131
<SHARES-COMMON-PRIOR>                              126
<ACCUMULATED-NII-CURRENT>                    2,427,853
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                      3,531,157
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                    28,230,141
<NET-ASSETS>                               118,468,086
<DIVIDEND-INCOME>                            2,062,066
<INTEREST-INCOME>                            1,842,189
<OTHER-INCOME>                                       0
<EXPENSES-NET>                               1,476,714
<NET-INVESTMENT-INCOME>                      2,427,541
<REALIZED-GAINS-CURRENT>                     5,392,607
<APPREC-INCREASE-CURRENT>                   10,669,966
<NET-CHANGE-FROM-OPS>                       18,490,114
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (27)
<DISTRIBUTIONS-OF-GAINS>                         (108)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  6
<NET-CHANGE-IN-ASSETS>                       5,787,534
<ACCUMULATED-NII-PRIOR>                        882,239
<ACCUMULATED-GAINS-PRIOR>                    4,078,887
<OVERDISTRIB-NII-PRIOR>                              0
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<INTEREST-EXPENSE>                                   0
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<PER-SHARE-NAV-BEGIN>                            23.10
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<PER-SHARE-DIVIDEND>                            (0.21)
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<RETURNS-OF-CAPITAL>                                 0
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<EXPENSE-RATIO>                                    2.2
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        



<PAGE>



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