BURNHAM FUND INC
N-30D, 1996-09-12
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August 8, 1996

Dear Shareholder:

We are pleased to present to you the Semi-Annual Report of The Burnham Fund Inc.
for the six-month period ending June 30, 1996.

On June 30,  1996,  the  Fund's  net asset  value per share for Class A, B and C
shares was $23.57,  $24.02 and $23.52,  respectively,  which represent increases
for the second quarter of 2.29%, 2.12% and 2.08%,  respectively.  For the second
quarter,  the unmanaged  Standard & Poor's 500 index rose 4.49%  (including  the
reinvestment    of   all   income)   and   the   unmanaged    Lehman    Brothers
Government/Corporate  Bond Index  increased  by 0.47%.  The  average  growth and
income fund rose 3.38% for the same period according to Morningstar, Inc.

As of June 30, 1996 the Fund's assets were invested as follows:  76.6%  invested
in common stocks; 3.7% in convertible  corporate bonds; 16.9% in corporate bonds
and 2.8% in cash and cash equivalents.

The Burnham  Fund paid  dividends  from net  investment  income in the amount of
$0.13, $0.06, and $0.05, respectively, in respect of its Class A, B and C shares
for the second quarter of 1996 on July 9, 1996 to shareholders of record on June
28, 1996.

Investment Strategy: The Summer Correction

In June, and on into July we witnessed an abrupt "correction" in the long string
of  quarterly  gains for equity  indices.  We believe the market  correction  is
attributable  to a number of forces that became evident in the second quarter of
1996.  First,  the rising markets  spawned a flurry of IPOs,  many of which were
highly  speculative  in nature.  Such activity  often  presages an  "overheated"
market condition.  Second, the monthly  record-setting  pace of net purchases of
equity   mutual   funds,   particularly   the   "emerging   growth"  and  "small
capitalization growth" funds, began to wane in June. This condition indicated to
us that  liquidity in the equity  markets,  especially  in the  over-the-counter
markets,  would be impacted as investors  redirected assets to more conservative
investments.  Third,  the  economy  continued  to show signs of  strength in the
consumer  sector.   Unemployment   rates  continued  to  fall  and  wage  growth
accelerated.  Investors  became  concerned that inflation would pick up from its
long-term slumber.  Consequently,  market-driven interest rates began to rise in
anticipation  that the Federal  Reserve might  increase  interest rates over the
summer. Inflation rates thus far have remained low and the Fed has held pat. The
increases in market-driven interest rates may have a negative comparative impact
on future  consumer  expenditures  and corporate  spending and income  statement
patterns.  Lastly,  the majority of reported  corporate earnings remain healthy,
but disappointing results relative to analysts'  expectations have been reported
by several very  visible  companies  (particularly  in high  technology).  These
reports are  accompanied  by management  warnings of tough  comparisons to come.
Their warnings  relate to the inability to maintain last year's high unit volume
growth in the face of potentially  slower growth on the horizon,  an increase in
the fierceness of current price  competition  and the recent  recovery of the US
dollar negatively impacting the translation of international revenues.

Second Half 1996 Outlook

We are still positive on the economic  environment  in general.  We believe that
the United States is in a period of prolonged economic growth, with a relatively
low interest rate  environment  and benign  inflation for some time to come. But
with signs of a near-term  economic pause  possibly at hand (or more  systematic
problems  to come that will be raised in  election  campaigning  such as deficit
reduction,  entitlement  spending  cuts and tax reform)  investors  have for the
moment curtailed their investing

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patterns.  This  caution has caused  market  liquidity  to ease,  resulting in a
contraction of  price/earnings  multiples.  Whether we are in a bear market or a
correction  in a bull  market,  a  trading  range is being  established  at more
reasonable    multiple   levels,    and   the   speculative    nature   of   the
small-capitalization market may have been somewhat tempered.

Investment Management Actions

Since  the  second  quarter's  end,  we have been more  defensive.  During  this
volatile  period we are  paying  close  attention  to equity  valuation  and the
potential for negative earnings  surprises.  During the quarter,  positions that
were trimmed back or eliminated  because of difficult  earnings  comparisons  or
fundamental  changes include Humana,  USWest Media,  TIG Holdings,  Walt Disney,
Chrysler and McDonald's.  New positions include,  among others, Manor Care Inc.,
New Plan Realty Trust, Lucent Technologies,  Boeing and Sears Roebuck. A diverse
portfolio of  predominantly  large-cap  companies  with a record of  sustainable
earnings growth and dividend payouts,  strong management,  conservative  balance
sheets,  stock buyback plans and attractive  valuations  remain the focus of our
investment style.

Many of the investment themes from our letters of year end and the first quarter
remain intact:  moderate economic growth,  corporate  restructurings,  increased
competitiveness  of US  companies,  and the  benign  conditions  that  generally
prevail during Presidential  election years. We are looking toward opportunities
to add to the portfolio  quality  names that may be unusually  depressed in this
period of volatility.

The Burnham Fund on the Internet

We are pleased to announce  that The Burnham  Fund is now on the World Wide Web.
We invite you to visit our new site, at http://networth.galt.com/burnham,  where
you may browse  through Fund  information  including  management  commentary and
portfolio and performance data, access the Fund's current  prospectus,  download
the  subscription  agreement,  and contact us directly  through a direct  e-mail
connection.  We are quite  proud of the  depth of  service  offered  by this new
channel of communication, and we shall continue to expand its capabilities as we
progress.

As  always,  we thank you for your  trust and  support,  and we look  forward to
continuing to serve your financial needs.

Very sincerely yours,

I.W. Burnham, II        Jon M. Burnham
Chairman                   President &
                     Portfolio Manager

The performance data quoted represents past performance and is not indicative of
future  performance.  The investment return and principal value of an investment
will fluctuate so that an investor's shares, when redeemed, may be worth more or
less than their original cost. Average total return for Class A shares, assuming
the  reinvestment  of dividends  and  excluding the maximum sales charge for the
one,  five and ten year  periods  ended June 30,  1996 were  18.04%,  11.61% and
10.09%,  respectively.  Such performance  assuming the imposition of the Class A
shares'  maximum 5% sales  charge for the same  periods  would have been 12.14%,
10.47% and 9.53%,  respectively.  For Class B and C shares, average total return
for the one year period  ended June 30, 1996 and life of class total  return for
the period October 18, 1993  (inception  date) to June 30, 1996, were 17.62% and
16.75%, and 9.31% and 9.44%, respectively.

2

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INVESTMENT PERSPECTIVE

                     Equity Portfolio Distribution
                       by Industry Classification

                             June 30, 1996

<TABLE>
<CAPTION>
                                             % Total
                                         Equity Portfolio
                                         ----------------
<S>                                            <C>   
Energy -- Oil & Gas...................         17.68%
Communications Services...............          8.91%
Computers & Software..................          8.09%
Insurance.............................          7.51%
Pharmaceuticals.......................          6.21%
Real Estate...........................          4.61%
Banking...............................          4.45%
Automotive............................          4.16%
Hotels................................          4.08%
Aerospace.............................          3.78%
Others................................         30.52%
                                         ----------------
Total Equities........................        100.00%
                                         ----------------
                                         ----------------
</TABLE>

                  Total Portfolio Distribution by Asset Class
                                June 30, 1996

                  [SEE APPENDIX TO GRAPHIC AND IMAGE MATERIAL]

Top 25% Portfolio Holdings
June 30, 1996

<TABLE>
<CAPTION>
                                                    Number of Shares/       % of
                                                    Principal Amount        Value       Net Assets
                                                    -----------------    -----------    ----------
<S>                                                 <C>                  <C>            <C>
Exxon Corporation................................           45,000       $ 3,909,375       3.44%
Chrysler Corp. ..................................           50,000       $ 3,100,000       2.73%
Travelers Corp. .................................           65,000       $ 2,965,625       2.61%
The Bank of New York Co., Inc.,
  7.5% conv. sub. deb. 8/15/01...................       $1,000,000       $ 2,630,000       2.32%
Thermo Electron Corp. ...........................           60,000       $ 2,497,500       2.20%
AT&T Corp........................................           40,000       $ 2,480,000       2.18%
Xerox Corp. .....................................           45,000       $ 2,407,500       2.12%
American Home Products Corp. ....................           40,000       $ 2,405,000       2.12%
ITT Corp. (New)..................................           35,000       $ 2,318,750       2.04%
Goodrich (B.F.) Co. .............................           60,000       $ 2,242,500       1.97%
Mobil Corp.......................................           20,000       $ 2,242,500       1.97%
                                                                                        ----------
Total Top 25% Portfolio Holdings.................                                         25.70%
                                                                                        ----------
                                                                                        ----------
</TABLE>

                               Cumulative Return
                     of a Hypothetical $10,000 Investment*

                         from inception (June 16, 1975)
                             through June 30, 1996

                   SEE APPENDIX TO GRAPHIC AND IMAGE MATERIAL

* All performance  analyses shown herein  represent past performance and are not
  indicative of future performance.  All dividends and distributions from income
  and  capital  gains have been  continually  reinvested.  Performance  does not
  include the imposition of the maximum 5% sales charge.  Performance  for other
  classes  of the Fund will be  greater or less than the data shown in the graph
  and tables based on differences in sales charges and fees paid by shareholders
  investment in the different classes of the Fund.

                         Average Annual Total Return
                         Period ending June 30, 1996

<TABLE>
<S>                         <C>
One Year.................   18.04%
Five Years...............   11.61%
Ten Years................   10.09%
Fifteen Years............   12.57%
Twenty Years.............   12.86%
</TABLE>

3


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STATEMENT OF NET ASSETS
June 30, 1996 (Unaudited)

<TABLE>
<CAPTION>
                                             NUMBER OF        VALUE
                                               SHARES       (NOTE 1)
- --------------------------------------------------------------------
<S>                                   <C>    <C>      <C>
COMMON STOCKS                         76.62%
AEROSPACE                              2.89%

 Boeing Co..............................     12,000   $    1,045,500
 Goodrich (B.F.) Co.....................     60,000        2,242,500
                                                        ------------
                                                           3,288,000
                                                        ------------
AUTOMOTIVE                             3.19%

 Chrysler Corp..........................     50,000        3,100,000
 General Motors Corp....................     10,000          523,750
                                                      --------------
                                                      --------------
                                                           3,623,750
                                                      --------------
BANKING                                3.41%

 The Bank of New York Co., Inc..........     20,000        1,025,000
 Citicorp...............................     20,000        1,652,500
 Wells Fargo & Co.......................      5,000        1,194,375
                                                      --------------
                                                      --------------
                                                           3,871,875
                                                      --------------
BUILDING PRODUCTS                      1.16%

 AMRE Inc...............................     60,000a       1,312,500
                                                      --------------
                                                      --------------
CHEMICALS                              1.43%

 Monsanto Co............................     50,000        1,625,000
                                                      --------------
                                                      --------------
COMMUNICATIONS SERVICES                6.82%

 AT&T Corp..............................     40,000        2,480,000
 ECI Telecom Ltd........................     55,000        1,275,312
 GTE Corp...............................     40,000        1,790,000
 Loral Space Communications Ltd.........     25,000a         340,625
 Lucent Technologies Inc................     30,000        1,136,250
 U.S. West Media Group..................     40,000a         730,000
                                                      --------------
                                                      --------------
                                                           7,752,187
                                                      --------------
COMPUTER PRODUCTS & SOFTWARE           6.20%

 Hewlett Packard Co.....................     20,000        1,992,500
 Interleaf Inc..........................     80,000a         520,000
 International Business Machines
   Corp.................................     10,000          990,000
 Microsoft Corp.........................     10,000a       1,200,625
 Phoenix Technologies Ltd...............     70,000a       1,163,750
 Safeguard Scientifics Inc..............     15,000a       1,170,000
                                                      --------------
                                                      --------------
                                                           7,036,875
                                                      --------------
CONSUMER/COMMERCIAL FINANCING          0.20%
 Associates First Capital Corp.
   Cl. A................................      6,000          225,750
                                                      --------------
                                                      --------------
CONSUMER PRODUCTS                      0.91%

 General Electric Co....................     12,000        1,038,000
                                                      --------------
                                                      --------------
DATA PROCESSING SYSTEMS                1.42%

 Electronic Data Systems Corp...........     30,000        1,612,500
                                                      --------------
                                                      --------------
ELECTRONICS                            0.68%

 Teradyne Inc...........................     45,000a         776,250
                                                      --------------
                                                      --------------
STATEMENT OF NET ASSETS (CONTINUED)
June 30, 1996 (Unaudited)

                                             NUMBER OF        VALUE
                                           SHARES/UNITS     (NOTE 1)
- --------------------------------------------------------------------
ENERGY - OIL AND GAS                  13.55%

 Amoco Corp.............................     25,000   $    1,809,375
 Baker Hughs Inc........................     20,000          657,500
 British Petroleum PLC ADS..............     10,000        1,068,750
 Exxon Corporation......................     45,000        3,909,375
 Mobil Corporation......................     20,000        2,242,500
 Nuevo Energy Co........................     35,000a       1,128,750
 Royal Dutch Petroleum Co. ADR..........     10,000        1,537,500
 Texaco Inc.............................     25,000        2,096,875
 Union Pacific Resources
   Group Inc............................     35,000          936,250
                                                      --------------
                                                      --------------
                                                          15,386,875
                                                      --------------
ENGINEERING/
 INDUSTRIAL PRODUCTION                 2.29%

 Thermo Electron Corp...................     60,000a       2,497,500
 Thermolyte Corp. units.................     10,000a,b,c     100,000
                                                      --------------
                                                      --------------
                                                           2,597,500
                                                      --------------
HEALTHCARE FACILITIES                  2.04%

 Manor Care Inc.........................     25,000          984,375
 Meditrust SBI..........................     40,000        1,335,000
                                                      --------------
                                                      --------------
                                                           2,319,375
                                                      --------------
HOTELS                                 3.12%

 Circus Circus Enterprises Inc..........     30,000a       1,230,000
 ITT Corp. (New)........................     35,000a       2,318,750
                                                      --------------
                                                      --------------
                                                           3,548,750
                                                      --------------
INSURANCE                              5.76%

 Allstate Corp..........................     45,000        2,053,125
 American Annuity Group Inc.............     50,000          650,000
 TIG Holdings Inc.......................     30,000          870,000
 Travelers Group Inc....................     65,000        2,965,625
                                                      --------------
                                                      --------------
                                                           6,538,750
                                                      --------------
MEDICAL SUPPLIES                       1.83%

 Baxter International Inc...............     25,000        1,181,250
 PLC Systems Inc........................     40,000a         895,000
                                                      --------------
                                                      --------------
                                                           2,076,250
                                                      --------------
OFFICE EQUIPMENT                       2.12%

 Xerox Corp.............................     45,000        2,407,500
                                                      --------------
                                                      --------------
OPTICAL EYE CARE                       0.58%

 Sterling Vision Inc....................     80,000a         655,000
                                                      --------------
                                                      --------------
PERSONAL CARE PRODUCTS                 0.55%

 Gillette Co............................     10,000          623,750
                                                      --------------
                                                      --------------
PHARMACEUTICALS                        4.76%

 American Home Products Corp............     40,000        2,405,000
 Pfizer Inc.............................     20,000        1,427,500
 Schering Plough Corp...................     25,000        1,568,750
                                                      --------------
                                                      --------------
                                                           5,401,250
                                                      --------------
</TABLE>

See notes to financial statements.

4


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STATEMENT OF NET ASSETS (CONTINUED)
June 30, 1996 (Unaudited)

<TABLE>
<CAPTION>
                                        NUMBER OF SHARES
                                          OR PRINCIPAL      VALUE
                                             AMOUNT       (NOTE 1)
- --------------------------------------------------------------------
<S>                                   <C>    <C>      <C>
PLASTICS                               1.58%

 Raychem Corp...........................     25,000   $    1,796,875
                                                      --------------
                                                      --------------
RAILROADS                              0.92%

 Union Pacific Corp.....................     15,000        1,048,125
                                                      --------------
                                                      --------------
REAL ESTATE REIT                       3.54%
 Franchise Finance Corp.
   of America...........................     70,000        1,610,000
 National Golf Properties Inc...........     60,000        1,455,000
 New Plan Realty Trust..................     45,000          950,625
                                                      --------------
                                                      --------------
                                                           4,015,625
                                                      --------------
RETAIL STORES                          0.86%

 Sears Roebuck & Co.....................     20,000          972,500
                                                      --------------
                                                      --------------
SEMICONDUCTORS                         1.94%

 Intel Corp.............................     30,000        2,203,125
                                                      --------------
                                                      --------------
TELEPHONE COMPANIES                    1.30%

 SBC Communications Inc.................     30,000        1,477,500
                                                      --------------
                                                      --------------
TRAVEL RELATED &
 FINANCIAL SERVICES                    1.57%

 American Express Co....................     40,000        1,785,000
                                                      --------------
                                                      --------------
 TOTAL COMMON STOCKS

   (COST: $69,235,102)..................                  87,016,437
                                                      --------------
                                                      --------------
CORPORATE CONVERTIBLE BONDS            3.67%
BANKING                                2.32%

 The Bank of New York Company, Inc.,
   7 1/2% conv. sub. deb. 8/15/01.......... $1,000,000     2,630,000
                                                      --------------
                                                      --------------
DATA PROCESSING                        0.94%
 EMC Corp.,
   4 1/4% conv. sub. deb. 1/01/01..........  1,000,000     1,070,000
                                                      --------------
                                                      --------------
STEEL                                  0.41%
 USX Marathon Group,
   7% conv. sub. deb. 6/15/17...........    500,000          470,000
                                                      --------------
                                                      --------------
 TOTAL CORPORATE CONVERTIBLE
   BONDS (COST: $2,490,937).............                   4,170,000
                                                      --------------
                                                      --------------
STATEMENT OF NET ASSETS (CONTINUED)
June 30, 1996 (Unaudited)

                                           PRINCIPAL        VALUE
                                             AMOUNT       (NOTE 1)
- --------------------------------------------------------------------
CORPORATE BONDS                       16.95%
BANKING                                1.79%

 Chase Manhattan Corp.,
   7 7/8% sub. notes 8/01/04............ $1,000,000   $    1,005,151
 Morgan (J.P.) & Co., Inc.,
   7 5/8% sub. notes 11/15/98...........  1,000,000        1,024,036
                                                      --------------
                                                      --------------
                                                           2,029,187
                                                      --------------
BUILDING PRODUCTS                      1.78%
 USG Corp., 8% sr. notes
   12/15/96.............................    500,000          503,498
 USG Corp., 8% sr. notes 3/15/97........  1,500,000        1,514,545
                                                      --------------
                                                      --------------
                                                           2,018,043
                                                      --------------
CHEMICALS                              1.29%
 du Pont (E.I.) de Nemours & Co.,
   6% deb. 12/01/01.....................  1,000,000          963,750
 du Pont (E.I.) de Nemours & Co.,
   6 3/4% notes 10/15/02................    500,000          496,790
                                                      --------------
                                                      --------------
                                                           1,460,540
                                                      --------------
COMMUNICATION SERVICES                 0.89%
 Storer Communications Inc.,
   10% sub. deb. 5/15/03................  1,000,000        1,007,500
                                                      --------------
                                                      --------------
ENERGY - OIL & GAS                     0.85%
 Maxus Energy Corp.,
   9 3/8% notes 11/01/03................  1,000,000          965,000
                                                      --------------
                                                      --------------
FINANCIAL SERVICES                     6.40%
 Ford Motor Credit Corp.,
   9 1/4% notes 6/15/98.................  1,000,000        1,050,631
 General Electric Capital Corp.,
   8% notes 1/15/98.....................  1,000,000        1,024,905
 General Motors Acceptance Corp.,
   7 3/4% notes 1/15/99.................  1,000,000        1,027,739
 MGM Grand Hotel Finance Corp.,
   11 3/4% gtd. notes 5/01/99...........  1,000,000        1,057,500
 Texaco Capital Inc.,
   9% gtd. notes 11/15/97...............  1,000,000        1,036,123
 Texaco Capital Inc.,
   8.65% gtd. notes 1/30/98.............  2,000,000        2,070,444
                                                      --------------
                                                      --------------
                                                           7,267,342
                                                      --------------
HOTELS                                 1.69%
 Marriott Corp.,
   8 1/8% sr. notes "C" 12/01/96........    450,000          448,457
 Marriott Corp.,
   8 7/8% sr. notes "D" 5/01/97.........    115,000          114,999
 Marriott Corp.,
   9 7/8% sr. notes "E" 11/01/97........    850,000          851,813
 Marriott Corp., 9 3/8% deb.
   6/15/07..............................    500,000          502,707
                                                      --------------
                                                      --------------
                                                           1,917,976
                                                      --------------
</TABLE>

See notes to financial statements.
5

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STATEMENT OF NET ASSETS (CONCLUDED)
June 30, 1996 (Unaudited)

<TABLE>
<CAPTION>
                                           PRINCIPAL        VALUE
                                             AMOUNT       (NOTE 1)
- --------------------------------------------------------------------
<S>                                   <C>    <C>      <C>
PHARMACEUTICALS                        1.82%
 Johnson & Johnson,
   7 3/8% euronotes
   11/09/97.............................$ 1,000,000$  1,014,688
 Lilly (Eli) & Co.,
   8 1/8% notes 12/01/01................  1,000,000        1,058,418
                                                      --------------
                                                      --------------
                                                           2,073,106
                                                      --------------
UTILITIES                              0.44%
 AES Corp.,
   9 3/4% sr. sub. notes 6/15/00........    500,000          505,000
                                                      --------------
                                                      --------------
   TOTAL CORPORATE BONDS
   (COST: $18,841,664)..................                  19,243,696
                                                      --------------
                                                      --------------

COMMERCIAL PAPER           2.80%
 Associates Corp. of NA,
   5.30% 7/01/96........................  3,177,000        3,177,000
                                                      --------------
                                                      --------------
   TOTAL COMMERCIAL PAPER
   (COST: $3,177,000)...................                   3,177,000
                                                      --------------
                                                      --------------
TOTAL INVESTMENTS
 (COST: $93,744,704)                 100.04%          $  113,607,133

CASH AND OTHER ASSETS,
   LESS LIABILITIES                   (0.04)                 (43,841)
                                      --------------- --------------
                                                      --------------
Net Assets                           100.00%          $  113,563,292
                                                      --------------
                                                      --------------
</TABLE>

a Non-income producing security.

b A unit  consists  of one share of common  stock of  Thermolyte  Corp.  and one
  redemption right.

Federal Income Tax Basis of Investment Securities

        For Federal income tax purposes,  the tax basis of investment securities
owned  at  June  30,  1996  was  $93,744,704.  The  aggregate  gross  unrealized
appreciation  for all  securities in which there was an excess of value over tax
cost  was  $22,832,753  and  aggregate  gross  unrealized  depreciation  for all
securities in which there was an excess of tax cost over value was $2,970,324.


STATEMENT OF ASSETS AND LIABILITIES
June 30, 1996 (Unaudited)
- ------------------------------------------------------------------
<TABLE>
<S>                                                         <C>                 
ASSETS:
  Investment in securities, at value
    (identified cost: $93,744,704)
    (Note 1)..............................................  $        113,607,133
  Cash in bank............................................                   903
  Dividends and interest receivable.......................               588,398
  Prepaid expenses........................................                60,861
  Receivable from Investment Advisor......................                   295
                                                                ----------------
    Total assets..........................................           114,257,590
                                                                ----------------
LIABILITIES:

  Payable for investment securities
    purchased.............................................               445,010
  Payable for investment advisory
    fees (Note 6).........................................                58,184
  Payable for distribution and
    service fees (Note 7).................................                25,414
  Accrued expenses and other payables.....................               165,690
                                                                ----------------
    Total liabilities.....................................               694,298
                                                                ----------------
NET ASSETS................................................  $        113,563,292
                                                                ----------------
                                                                ----------------
CLASS A SHARES

NET ASSET VALUE AND REDEMPTION PRICE PER SHARE
  (Note 2): ($112,654,999/4,779,454.428 shares
  outstanding)............................................  $              23.57
                                                                ----------------
                                                                ----------------
CALCULATION  OF MAXIMUM  OFFERING  PRICE 
SALES  CHARGE - 5% OF PUBLIC OFFERING PRICE:
  (Note 2): ($23.57 net asset value plus 5.0%
  of public offering price)...............................  $              24.81
                                                                ----------------
                                                                ----------------
CLASS B SHARES

NET ASSET VALUE AND OFFERING PRICE PER SHARE:
  (Note 2): ($905,211/37,684.791 shares
  outstanding)............................................  $              24.02
                                                                ----------------
                                                                ----------------
CLASS C SHARES

NET ASSET VALUE AND OFFERING PRICE PER SHARE:
  (Note 2): ($3,086/131.194 shares
  of capital stock outstanding)...........................  $              23.52
                                                                ----------------
                                                                ----------------
Redemption  price per share  varies with the length
of time Class B and C shares are held. (Note 7)

NET ASSETS CONSISTED OF:

  Capital paid-in.........................................  $         89,025,273
  Undistributed net investment
    income................................................               714,008
  Accumulated net realized gains
    on investments........................................             3,961,582
  Net unrealized appreciation of
    investments...........................................            19,862,429
                                                                ----------------
                                                            $        113,563,292
                                                                ----------------
                                                                ----------------
</TABLE>

See notes to financial statements.

6

<PAGE>
<PAGE>
[LOGO]

STATEMENT OF OPERATIONS
Six months ended June 30, 1996 (Unaudited)
- ------------------------------------------------------------------

<TABLE>
<S>                                                         <C>                 
INVESTMENT INCOME:
  INCOME:
    Dividends.............................................  $          1,025,715
    Interest..............................................             1,040,308
                                                                ----------------
      Total income........................................             2,066,023
                                                                ----------------
  EXPENSES:

    Investment advisory fees (Note 6).....................               355,028
    Distribution fee (Class A)(Note 7)....................               141,031
    Distribution fee (Class B)(Note 7)....................                 2,928
    Distribution fee (Class C)(Note 7)....................                    11
    Service fees (Class B & C)(Note 7)....................                   980
    Transfer agent fees...................................                99,781
    Professional fees.....................................                99,691
    Reports to shareholders...............................                25,480
    Directors' fees and expenses..........................                36,400
    Custodian fees........................................                24,934
    Miscellaneous expense.................................                36,218
                                                                ----------------
      Total expenses before reimbursement.................               822,482
      Less: Expenses voluntarily reimbursed
        by Investment Adviser (Note 6)....................                  (295)
                                                                ----------------
      Total expenses after reimbursement..................               822,187
                                                                ----------------
        Net investment income.............................             1,243,836
                                                                ----------------
NET REALIZED AND UNREALIZED GAIN ON INVESTMENTS:
  Realized gain from securities and options
    transactions (excluding short-term
    money market instruments)

      Proceeds from sales..................$    40,466,170
      Cost of securities sold..............    (36,404,247)
                                              ------------
    Net realized gain from securities and
      options transactions ...............................             4,061,923
                                                                ----------------
  Increase in unrealized appreciation
    of investments

      Beginning of period..................$    17,560,175
      End of period........................     19,862,429
                                              ------------
    Increase in unrealized appreciation...................             2,302,254
                                                                ----------------
  Net realized and unrealized gain
    on investments........................................             6,364,177
                                                                ----------------
  Net increase in net assets resulting from
    operations............................................  $          7,608,013
                                                                ----------------
                                                                ----------------
</TABLE>

STATEMENT OF CHANGES IN NET ASSETS
(Unaudited)

<TABLE>
<CAPTION>
                                                             Six months ended     Year ended
                                                                 June 30,        December 31,
                                                                   1996              1995
                                                                ----------        -----------
<S>                                                             <C>              <C>          
INCREASE IN NET ASSETS:
 FROM OPERATIONS:

   Net investment income ....................................   $   1,243,836    $   3,515,912
   Net realized gain from security
     and option transactions ................................       4,061,923        4,434,390
   Increase in unrealized
     appreciation of investments ............................       2,302,254       15,328,646
                                                                -------------    -------------
     Net increase in net
       assets resulting
       from operations ......................................       7,608,013       23,278,948
                                                                -------------    -------------
 DISTRIBUTIONS TO SHAREHOLDERS
   (NOTE 1):
   From net investment income:

     Class A Shares .........................................      (1,407,977)      (3,774,236)
     Class B Shares .........................................          (4,069)         (10,282)
     Class C Shares .........................................             (21)             (83)

   From realized gains from security and option transactions:

     Class A Shares .........................................      (4,155,874)      (2,856,113)
     Class B Shares .........................................         (23,246)         (10,070)
     Class C Shares .........................................            (108)             (67)
                                                                -------------    -------------
       Total distributions to
       shareholders .........................................      (5,591,295)      (6,650,851)
                                                                -------------    -------------
 CAPITAL SHARE TRANSACTIONS
   (NOTE 2):
   Net proceeds from sale
     of shares ..............................................         847,389        1,318,615
   Net asset value of shares issued
     to shareholders in reinvestment
     of dividends ...........................................       4,820,002        5,722,758
                                                                -------------    -------------
                                                                    5,667,391        7,041,373

   Cost of shares redeemed ..................................      (6,801,369)     (13,140,548)
                                                                -------------    -------------
   Decrease in net assets derived
       from capital share
       transactions .........................................      (1,133,978)      (6,099,175)
                                                                -------------    -------------
     Increase in net
       assets for the period ................................         882,740       10,528,922
                                                                -------------    -------------
NET ASSETS:

 Beginning of period ........................................     112,680,552      102,151,630
                                                                -------------    -------------
 End of period (including
   undistributed net investment
   income of $714,011 and $882,239,
   respectively) ............................................   $ 113,563,292    $ 112,680,552
                                                                -------------    -------------
                                                                -------------    -------------

</TABLE>
See notes to financial statements.

7


<PAGE>
<PAGE>

[LOGO]

NOTES TO FINANCIAL STATEMENTS
June 30, 1996 (Unaudited)

NOTE 1 _ Significant Accounting Policies

The Burnham Fund Inc. ("Fund") is registered under the Investment Company Act of
1940,  as amended  (the  "1940  Act"),  as a  diversified,  open-end  investment
company.

The  Fund  offers  three  classes  of  shares.  Class A shares  are sold  with a
front-end sales charge of up to 5.0%.  Class B shares are sold with a contingent
deferred  sales charge of 5.0% which  declines to zero for  purchases  held more
than six years. Class C shares are sold with a contingent  deferred sales charge
of 1%, which declines to zero if held for more than one year.

The  following  is a summary of  significant  accounting  policies  consistently
followed  by the  Fund  in the  preparation  of its  financial  statements.  The
policies are in conformity with generally  accepted  accounting  principles.  

A.  Security  valuation  -  Investments  in  securities  traded,  or in  options
purchased,  on a national  securities  exchange are valued at the last  reported
sales  price on the  primary  exchange  on which  they  are  traded  on the last
business day of the period.  Securities  traded in the  over-the-counter  market
(including securities listed on exchanges whose primary market is believed to be
over-the-counter)  and listed  securities for which no sale was reported on that
date are valued at the mean  between  the last  reported  bid and asked  prices.
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. 

B.  Repurchase  agreements  -  Securities  held  as  collateral  for  repurchase
agreements are held by the Federal Reserve Bank and are designated as being held
for the Fund's behalf by its custodian  under the  book-entry  system.  The Fund
monitors the adequacy of the collateral (U.S.  Government  securities) daily and
can require the seller to provide additional  collateral in the event the market
value of the  securities  pledged falls below 102% of the carrying  value of the
repurchase  agreement.

C.  Option  Writing - When the Fund  writes a covered  call  option,  the amount
received is included in the Statement of Assets and  Liabilities as an asset and
an  equivalent  liability.  The  liability is  subsequently  marked to market to
reflect the current value of the option  written.  When a call option expires or
when the  Fund  enters  into a  closing  purchase  transaction,  the  Fund  will
recognize a gain (or loss) without regard to any unrealized  gain or loss on the
underlying  security.  When a call option is  exercised,  the proceeds  from the
delivery of the  underlying  security  are  increased  by the amount  originally
received and the resulting gain or loss is recorded by the Fund. 

Transactions  in written  options for the six months ended June 30, 1996 were as
follows:

<TABLE>
<CAPTION>
                                      Number of
                                       Options    Premiums
- ----------------------------------------------------------
<S>                                    <C>         <C>
Options written at December 31, 1995    -0-         $  -0-
Options written                         -0-            -0-
Options canceled in closing
        purchase transactions           -0-            -0-
                                     -------       -------
Options outstanding at
        June 30, 1996                   -0-         $  -0-
                                     -------       -------
                                     -------       -------
</TABLE>

D.  Federal  income  taxes - It is the Fund's  policy to qualify  each year as a
"regulated  investment company" under Subchapter M of the Internal Revenue Code.
By so  qualifying,  the Fund will not be subject to Federal  income taxes to the
extent  that its net  investment  income  and net  realized  capital  gains  are
distributed.

E. Other - Security  transactions  are accounted for on the date the  securities
are  purchased  or sold.  Interest  income is recorded on the accrual  basis and
dividend  income  on  the  ex-dividend  date.  Dividends  and  distributions  to
shareholders  are recorded on the ex-dividend  dates.  The Fund may periodically
make reclassifications  among certain of its capital accounts as a result of the
timing and  characteristics  of certain  income and capital gains  distributions
determined  annually in accordance with Federal tax regulations which may differ
from generally accepted accounting  principles. 

F. Expenses - Expenses that are  attributable to a specific class of shares will
be charged to that class. Fund-level expenses will be allocated daily based upon
the relative  percentage of net assets of each class of shares. 

NOTE 2 - Capital Stock

     At June 30, 1996, there were 40,000,000  shares of capital stock ($0.10 par
value)  authorized,  divided  into four classes  designated  Class A, B, C and D
shares. At June 30, 1996, Class D shares were not issued.

8

<PAGE>
<PAGE>

[LOGO]

NOTES TO FINANCIAL STATEMENTS
June 30, 1996 (Unaudited)

     Transactions  in capital  stock for the six months  ended June 30, 1996 and
year ended  December  31, 1995 for Class A, B and C shares were as follows:

<TABLE>
<CAPTION>
                                         Six months
                                            ended       Year ended
                                        June 30, 1996  Dec. 31, 1995
                                        -------------  -------------
<S>                                          <C>         <C>   
CLASS A SHARES
Shares sold ............................     27,581      52,477
Shares issued to shareholders
        in reinvestment of distributions    214,521     285,586
                                           --------    --------
                                            241,102     338,063
Shares redeemed ........................   (293,979)   (626,658)
                                           --------    --------
Net decrease ...........................    (52,877)   (288,595)
                                           --------    --------
                                           --------    --------
CLASS B SHARES
Shares sold ............................      9,859      10,326
Shares issued to shareholders
        in reinvestment of distributions      1,173       1,022
                                           --------    --------
                                             11,032      11,328
Shares redeemed ........................       (379)     (1,348)
                                           --------    --------
Net increase ...........................     10,653       9,980
                                           --------    --------
                                           --------    --------
CLASS C SHARES
Shares sold ............................        -0-         -0-
Shares issued to shareholders
        in reinvestment of distributions          6           7
                                           --------    --------
                                                  6           7
Shares redeemed ........................        -0-         -0-
                                           --------    --------
Net increase ...........................          6           7
                                           --------    --------
                                           --------    --------
</TABLE>

NOTE 3 - Purchase and Sales of Securities

     The  aggregate  cost of purchases and the proceeds from sales of securities
or maturities for the six months ended June 30, 1996 were:

<TABLE>
<CAPTION>
                                                                    PROCEEDS
                                               COST OF            FROM SALES
                                              PURCHASES          OR MATURITIES
                                             ------------       ---------------
<S>                                        <C>                 <C>              
Short-term money
  market instruments.......................$   194,397,000     $     192,761,000
U.S. Government obligations................            -0-                   -0-
Common stocks and other securities.........$    33,766,265     $      40,466,170

</TABLE>

NOTE 4 - Restricted Securities

     A restricted  security is a security which has not been registered with the
U.S.  Securities and Exchange Commission pursuant to the Securities Act of 1933.
The Fund may purchase restricted  securities through a private offering and they
cannot be sold  without  prior  registration  under the  Securities  Act of 1933
unless such sale is  pursuant to an  exemption  therefrom.  Subsequent  costs of
registration  of such  securities  are borne by the issuer.  A secondary  market
exists for certain privately placed securities.  At June 30, 1996, the Fund held
a restricted security with a value aggregating $100,000,  representing less than
0.1% of the  Fund's  net  assets.  Currently,  a market  does not  exist for the
security listed below:

<TABLE>
<CAPTION>
Units          Company         Acquired      Cost      Value
- ---------------------------------------------------------------
<C>           <S>             <C>   <C>    <C>        <C>     
10,000       Thermolyte Corp. 03/16/1995   $100,000   $100,000
</TABLE>

This  security  has been  valued in good  faith by  management  and the Board of
Directors of the Fund.

NOTE 5 - Off Balance Sheet Risk in Financial Instruments

     The  Fund  may  from  time to time  trade  in  financial  instruments  with
off-balance  sheet  risk in the normal  course of its  investing  activities  to
assist in managing exposure to various market risks. These financial instruments
include  written as well as purchased  options,  and may  involve,  to a varying
degree,  elements  of risk in excess of the  amounts  recognized  for  financial
statement  purposes.  The notional or contractual  amounts of these  instruments
represent  the  investment  the  Fund has in  particular  classes  of  financial
instruments and does not necessarily  represent the amounts  potentially subject
to  risk.  The  measurement  of  risks  associated  with  these  instruments  is
meaningful only when all related and offsetting transactions are considered.

NOTE 6 - Investment Advisory Fees and Other Transactions

     The Investment Adviser provides research and statistical services and makes
investment  recommendations to the Fund. With its affiliate,  Burnham Securities
Incorporated  (the  "Distributor"),  the  Investment  Adviser  supplies  a staff
trained  in  accounting   and   shareholder   services  to  aid  in  the  Fund's
administration and day-to-day operations.

     The Investment Adviser receives an investment  advisory fee paid monthly at
an annual rate of 5/8 of 1% of the Fund's  average  daily net asset  values.  In
addition,  if in any year the Fund's operating  expenses,  including  investment
advisory fees but excluding interest,  taxes and brokerage  commissions,  exceed
2.5% of the first $30 million of the Fund's average net assets, 2.0% of the next
$70 million and 1.5% of the remaining average net assets, the fees to be paid to
the Investment  Adviser will be reduced to the extent that such expenses  exceed
such limitation.  For the six months ended June 30, 1996, the Fund incurred fees
in the amount of

9

<PAGE>
<PAGE>

[LOGO]

NOTES TO FINANCIAL STATEMENTS
June 30, 1996 (Unaudited)

$355,028.  The advisory  fees and the expenses of the Fund as defined  above did
not  exceed  the  maximum  allowable  limitation.  The  Investment  Adviser  has
voluntarily  agreed to  reimburse  expenses  of Class B and C shares in order to
limit  such  expenses  to  an  annual  rate  of  2.3%  and  2.3%,  respectively.
Accordingly,  the Investment Adviser has reimbursed Class B and C shares $56 and
$239, respectively. 

NOTE 7 - Distribution Services Agreement

     The Distributor  serves as principal  distributor of Fund shares.  The Fund
has adopted a Distribution Service Agreement (the "Agreement")  pursuant to Rule
12b-1 under the 1940 Act for Classes A, B and C shares. Under the agreement, the
Fund pays a  distribution  fee to the  Distributor  at an annual  rate of 0.25%,
0.75%  and  0.75%,  respectively,   of  the  Fund's  average  daily  net  assets
attributable to each respective  class.  For the six months ended June 30, 1996,
Class  A,  B  and  C  shares  incurred  fees  of  $141,031,   $2,928,  and  $11,
respectively. Class B and C shares of the Fund will also pay a service fee at an
annual  rate of 0.25% of the  average  daily net assets of Class B and C shares.
The service fee will be used by the Distributor to compensate broker-dealers and
other NASD members for rendering  continuing,  ongoing  service to Class B and C
shareholders.  Service fees incurred for Class B and C shares for the six months
ended June 30,  1996 were $976 and $4,  respectively.  For the six months  ended
June 30, 1996, the Distributor earned $49,050 in brokerage commissions from Fund
transactions  and $7,862 in sales  commissions  from the distribution of Class A
shares.

     A  contingent  deferred  sales  charge  ("CDSC") at a maximum rate of 5% is
imposed  on  Class B shares  if an  investor  redeems  within  six  years of the
purchase date. A CDSC is imposed on Class C shares at a rate of 1% if shares are
redeemed  within 12 months from the date of purchase.  A CDSC will be imposed on
the  proceeds of the  redemptions  of Class A 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 12  months  and .50 of 1% if the  redemption  occurs  within  the next 12
months.  No CDSC  will be  imposed  on  Class  A, B and C  shares  derived  from
reinvestment  of dividends or capital gain  distributions,  or on amounts  which
represent an increase in the value of the  shareholders  account  resulting from
capital appreciation above the amount paid for Class A, B and C shares purchased
during the CDSC period.  Any sales charge  imposed on redemptions is paid to the
Distributor.  For the six months  ended June 30,  1996,  there were $379 in CDSC
charges paid to the Distributor.

     Certain  directors  and officers of the Fund are also  directors,  officers
and/or  employees of the  Investment  Adviser  and/or  Distributor.  None of the
directors so affiliated  received  compensation  for his services as director of
the Fund. Similarly,  none of the Fund's officers received compensation from the
Fund.

NOTE 8 - Dividends and Distributions Subsequent to end of Reporting Period

     The Fund announced a per-share  dividend to shareholders of record June 28,
1996. The dividend had an ex-dividend  date of July 1, 1996 and was payable July
9, 1996. 

     The distribution was as follows:

<TABLE>
<CAPTION>
                                                    Class A   Class B  Class C
<S>                                                   <C>      <C>      <C>  
From net investment income ........................   $0.13    $0.06    $0.05
                                                      ------   ------   ----
Total distributions paid ..........................   $0.13    $0.06    $0.05
                                                      ------   ------   ----
                                                      ------   ------   ----
</TABLE>

NOTE 9 - Management's Use of Estimates

     The  preparation  of financial  statements,  in conformity  with  generally
accepted  accounting  principles,  requires  management  to make  estimates  and
assumptions  that affect the reported  amounts of assets and  liabilities at the
date of the financial statements and the reported amounts of income and expenses
during the reporting period.

     Actual results could differ from those estimates.

10

<PAGE>
<PAGE>

[LOGO]

NOTES TO FINANCIAL STATEMENTS
June 30, 1996 (Unaudited)

NOTE 10 - Financial Highlights

<TABLE>
<CAPTION>
                                              Class A Shares                                          Class B Shares
                              --------------------------------------------------             ------------------------------------  
              Six months ended                                                     Six months ended           Year ended
                       June 30,                  Year ended December 31,                   June 30,           December 31,        
                          1996        1995        1994       1993      1992        1991       1996      1995      1994    1993*'D'
                         ---------------------------------------------------------------------------------------------------------
<S>                       <C>         <C>        <C>        <C>        <C>        <C>       <C>        <C>       <C>       <C>   
NET ASSET VALUE,
Beginning of Period       $23.19      $19.88     $21.86     $21.95     $22.16     $20.01    $23.45     $19.94    $21.84    $22.17

INCOME FROM INVESTMENT
 OPERATIONS
Net Investment Income       0.26        0.71       0.75       0.81       0.88       1.07      0.07       0.41      0.49      0.13
Net Gains or Losses 
 on Securities
 (both realized and 
 unrealized)..........      1.27        3.91      (1.15)      1.11       0.69       2.36      1.48       4.10     (1.04)    (0.46)
                         ---------------------------------------------------------------------------------------------------------
Total from Investment       1.53        4.62      (0.40)      1.92       1.57       3.43      1.55       4.51     (0.55)    (0.33)
Less Distributions
Dividends (from net 
 income...............     (0.29)      (0.75)     (0.87)     (0.90)     (1.12)     (1.06)    (0.12)     (0.44)    (0.64)      -0-
Distributions from 
 Capital Gains (from
 securities and options
 transactions)........     (0.86)      (0.56)     (0.71)     (1.11)     (0.66)     (0.22)    (0.86)     (0.56)    (0.71)      -0-
                         ---------------------------------------------------------------------------------------------------------
Total Distributions...     (1.15)      (1.31)     (1.58)     (2.01)     (1.78)     (1.28)    (0.98)     (1.00)    (1.35)      -0-
                         ---------------------------------------------------------------------------------------------------------
Net Asset Value, End 
 of Period............    $23.57      $23.19     $19.88     $21.86     $21.95     $22.16    $24.02     $23.45    $19.94    $21.84
                         ---------------------------------------------------------------------------------------------------------
Total Return .........     14.26%'D'   24.45%     (1.77%)     9.35%      7.70%     17.98%    14.19%'D'  23.54%    (2.52%)   (1.49%)
                         ---------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

Net Assets (in $millions),
 End of Period........     112.7       112.0      101.8      118.5      117.2      125.4       0.9        0.6       0.3     0.2
                         ---------------------------------------------------------------------------------------------------------
Ratio of Expenses (net)
 to Average Net Assets..    1.4%'D'     1.5%       1.5%       1.5%       1.2%       1.1%      2.2%'D'    2.2%      2.3%     2.2%'D'
                         ---------------------------------------------------------------------------------------------------------
Ratio of Net Income to
 Average Net Assets...      2.2%'D'     3.3%       3.7%       3.7%       4.1%       5.0%      1.4%'D'    2.5%      2.9%     3.9%'D'
                         ---------------------------------------------------------------------------------------------------------
Portfolio Turnover Rate    60.3%'D'    78.3       87.9%      54.1%      68.5%     120.8%     60.3%'D'    78.3%     87.9%    54.1%
                         ---------------------------------------------------------------------------------------------------------

<CAPTION>

                                                     Class C Shares 
                                      ---------------------------------------------
                              Six months ended              Year ended
                                      June 30,              December 31,         
                                         1996        1995        1994       1993*+
                                        -------------------------------------------
<S>                                        <C>       <C>       <C>        <C>   
NET ASSET VALUE,
  Beginning of Period...................   $23.10    $19.89    $21.87     $22.17

INCOME FROM INVESTMENT OPERATIONS
Net Investment Income...................     0.14       0.54     0.72      0.15
Net Gains or Losses on Securities
  (both realized and unrealized)........     1.30       3.91    (1.15)    (0.45)
                                        -------------------------------------------
Total from Investment Operations........     1.44       4.45    (0.43)    (0.30)
Less Distributions
Dividends (from net investment income)..    (0.16)     (0.68)   (0.84)    -0-
Distributions from Capital Gains (from
  securities and options transactions)..    (0.86)     (0.56)   (0.71)    -0-
                                        -------------------------------------------
  Total Distributions...................    (1.02)     (1.24)   (1.55)    -0-
                                        -------------------------------------------
Net Asset Value, End of Period..........    $23.52     $23.10   $19.89    $21.87
                                        -------------------------------------------
Total Return............................     13.38%'D' 23.51%   (1.95%)   (1.35%)
                                        -------------------------------------------

RATIOS/SUPPLEMENTAL DATA

Net Assets (in $millions), End of Period      0.0**     0.0**     0.0**      0.0**
                                        -------------------------------------------
Ratio of Expenses (net)
  to Average Net Assets [1].............      2.2%'D'   2.3%      1.5%      1.5%'D'
                                        -------------------------------------------
Ratio of Net Income to Average Net Assets     1.4%'D'   2.5%      3.6%      3.5%'D'
                                        -------------------------------------------
Portfolio Turnover Rate.................     60.3%'D'  78.3%     87.9%     54.1%
                                        -------------------------------------------


</TABLE>

*    The Fund  commenced  offering  Class B shares and Class C shares on October
     18, 1993.

**   Less  than  $100,000 of  net  assets.  'D'Annualized.  'DD'Based on average
     shares outstanding.

[1] Had the Investment  Adviser not agreed to reimburse Class B and C shares for
expenses in excess of the expense limitation  described in Note 6, the ratios of
expenses for the six months ended June 30,  1996,  and years ended  December 31,
1995,  1994 and 1993  would  have been  2.2%,  3.8%,  4.0% and 30.5% for Class B
shares and 18.0%, 563.5%, 600.5% and 812.2% for Class C shares, respectively.

11

<PAGE>
<PAGE>

[LOGO]

Officers of the Fund
I.W. Burnham, II Chairman
Jon M. Burnham, President
        and Chief Executive Officer
Debra B. Hyman, Executive Vice President
Michael E. Barna, First Vice President
        Chief Financial Officer, Treasurer and Secretary
Ronald M. Geffen, Vice President
Frank A. Passantino,  Vice President and
        Assistant  Secretary  
Louis  S.  Rosenthal,  Vice  President  

Investment Adviser
Burnham Asset  Management  Corporation
1325 Avenue of the Americas
New York, New York 10019 

Distributor 
Burnham Securities  Incorporated 
1325 Avenue of the Americas
New York, New York 10019 
Telephone:  1 (800) 874-FUND 

Custodian and Transfer  Agent
State Street Bank and Trust Company 
225 Franklin  Street 
Boston, Massachusetts 02110 

Legal Counsel Skadden, Arps, Slate, Meagher & Flom 
919 Third Avenue
New York, New York 10022 

Servicing Agent
Boston  Financial Data Services, Inc.
2 Heritage Drive 
North Quincy, Massachusetts 02171

This report has been prepared for the information of shareholders of The Burnham
Fund Inc. and is not authorized for distribution to prospective investors unless
preceded or accompanied  by an effective  prospectus  that includes  information
regarding  the  Fund's  objectives,  policies,  management,  records  and  other
information.

Semi-Annual Report

JUNE 30, 1996

CONTINUITY                      KNOWLEDGE
[PHOTOGRAPH OF CLOCK]           [PHOTOGRAPH OF CHESS PIECE]

                        [LOGO]

GROWTH                          INCOME
[PHOTOGRAPH OF STEPS]           [PHOTOGRAPH OF COINS]

BURNHAM Securities Inc.
Principal Distributor

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APPENDIX TO GRAPHIC AND IMAGE MATERIAL

Graph 1 Page 6 of Report 'Total Portfolio Distribution by Asset Class'

The pie chart sets out to describe the asset  allocation  of The Burnham Fund as
of June 30, 1996. The asset allocation  is broken out in  the  following manner:
Common  Stocks - 77%;  Corporate  &  Convertible   Bonds - 20%;  Cash  and  Cash
Equivalents - 3%.

Graph  2  Page  6  of  Report  'Cumulative  Return  of  a  Hypothetical  $10,000
Investment'

The  line  chart  describes  a  hypothetical  investment  of  $10,000  over  the
investment  period  June  16,  1975  (inception  date)  to June  30,  1996.  The
performance figures do not include the imposition of the maximum sales charge of
5%. All  dividends  and  distributions  from income and capital  gains have been
continually reinvested.  The performance in the graph represent past performance
and are not indicative of future performance.  The performance at the end of the
period reflects a total hypothetical value of $131,116 representing a cumulative
total return of 1,211.16% and an annualized compound rate of return of 12.98%.


                            STATEMENT OF DIFFERENCES
                            ------------------------
                The dagger symbol shall be expressed as........... 'D'
                The double dagger symbol shall be expressed as.... 'DD'





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