<Page>

                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM N-CSR

              CERTIFIED SHAREHOLDER REPORT OF REGISTERED MANAGEMENT
                              INVESTMENT COMPANIES

                  Investment Company Act File Number: 811-6302

                       Cohen & Steers Realty Shares, Inc.
               (Exact name of registrant as specified in charter)

                      757 Third Avenue, New York, NY 10017
               (Address of principal executive offices) (Zip code)

                                Robert H. Steers
                     Cohen & Steers Capital Management, Inc.
                                757 Third Avenue
                            New York, New York 10017
                     (Name and address of agent for service)

       Registrant's telephone number, including area code: (212) 832-3232

                      Date of fiscal year end: December 31

                     Date of reporting period: June 30, 2003

Item 1. Reports to Stockholders.

The registrant's semi-annual report to shareholders, for the period ended June
30, 2003, is hereby included.

Item 9. Controls and Procedures.

(b) There were no significant changes in the registrant's internal controls or
in other factors that could significantly affect these controls subsequent to
the date of their evaluation, including any corrective actions with regard to
significant deficiencies and material weaknesses.




<Page>


Item 10. Exhibits.

(a)(2)(i) Certification, dated as of August 19, 2003, of Robert H. Steers,
principal executive officer of the registrant.

(a)(2)(ii) Certification, dated as of August 19, 2003, of Martin Cohen,
principal financial officer of the registrant.

(b) (1) Certification, dated as of August 19, 2003, of Robert H. Steers, chief
executive officer, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002.

(b) (2) Certification, dated as of August 19, 2003, of Martin Cohen, chief
financial officer, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002.

                                   SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, the registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

COHEN & STEERS REALTY SHARES, INC.

         By: /s/ Robert H. Steers, Chairman

         Date: August 19, 2003

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, this report has been signed below by the
following persons on behalf of the registrant and in the capacities and on the
dates indicated.

         By: /s/ Robert H. Steers, Chairman, Secretary and principal executive
         officer

         Date: August 19, 2003

         By: /s/ Martin Cohen, President, Treasurer and principal financial
         officer

         Date: August 19, 2003



<Page>


                       COHEN & STEERS REALTY SHARES, INC.

July 23, 2003

To Our Shareholders:

    We are pleased to submit to you our report for the quarter and six months
ended June 30, 2003. The net asset value at that date was $48.27. In addition, a
regular quarterly dividend of $0.56 per share was declared for shareholders of
record on June 19, 2003 and was paid on June 20, 2003.

MIDYEAR REVIEW

    For the quarter, Cohen & Steers Realty Shares had a total return, based on
income and change in net asset value, of 13.6%. This compares to the NAREIT
Equity REIT Index's(a) total return of 13.1%. For the six months ended June 30,
2003, the fund's total return was 14.1%, compared to NAREIT's 13.9%.

    At long last, nearly every sector of the U.S. financial markets provided
exceptional returns in the second quarter. REITs extended their winning streak
to over three years, and posted their best quarterly return since the fourth
quarter of 1996. In addition, the stock market arose from its three year slump
and posted its best performance (15.4% total return for the S&P 500 Index) since
the fourth quarter of 1998. Bonds extended what has now been, effectively, a
22-year bull market, with the 30-year Treasury bond registering a total return
of 5.4%.

    There was an avalanche of geopolitical and economic news in the past three
months, most of it with positive implications. War in Iraq abated while steps
toward peace in the Middle East were promising. Congress passed tax cut
legislation, with a great deal of benefit going to investors by virtue of
lowered levies on dividends and capital gains. Interest rates reached their
lowest level in over 50 years, as the Fed's accommodative monetary policy
continued unabated. Consumer and business confidence clearly began to rise, and
more Americans now own homes than ever before. While these positive developments
have yet to ignite job creation, capital spending and strong overall economic
growth -- with the exception of housing -- we believe that forecasts for
accelerated growth in the second half of 2003 and beyond have clearly gained
credibility. We believe this renewed optimism has helped the outlook for both
real estate and REITs.

    We are very pleased with our performance relative to our benchmarks. The
strongest contributors to performance were our overweight and stock selection in
the office sector and our underweight in the apartment sector. Also contributing
to our out-performance was our overweight in the regional mall sector and our
stock selection in the hotel sector.

    REITs are operating in an environment that they have never before
experienced. In nearly all of the previous cycles that we can remember, when
coming out of a recession real estate fundamentals have been dismal, property
owners were in distress, and equity and debt capital was unavailable at a
reasonable price as investors and lenders shunned the asset class. In this
cycle, however, there is virtually no distress on the part of any major property

- -------------------
(a) The NAREIT Equity REIT Index is an unmanaged, market-capitalization-weighted
    index of all publicly traded REITs that invest predominantly in the equity
    ownership of real estate. The index is designed to reflect the performance
    of all publicly traded equity REITs as a whole.

                                       1





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

owners. While there is no doubt that real estate fundamentals are weak --
vacancy rates are high and many property-level cash flows have been flat
or declining -- fundamentals are more disparate across sectors than we have
ever seen coming out of a recession. Most notable is the retail sector where
occupancies and rents remain very strong. Instead of capital fleeing the
industry, it is now more plentiful than ever and has never carried a lower cost.
Investors that have been waiting for an opportunity to acquire assets at bargain
prices have been disappointed as prices have remained firm, or even risen,
nearly across the board.

    Consequently, the opportunity set for REITs is entirely different from past
history. Instead of an asset pricing opportunity, property owners now have a
liability pricing opportunity. Record low interest rates have allowed REITs to
refinance existing higher cost debt and boost earnings, just as homeowners and
homebuyers have been doing as they finance and refinance their mortgages. In
addition, REITs have been able to take advantage of the strong demand for
property by selling assets, enabling them to reposition and upgrade the quality
of their portfolios, while simultaneously strengthening their balance sheets.
For some investors, REITs themselves are the opportunity -- there were four
major acquisitions of public REITs in the first half of the year, and we suspect
that there will be even more merger and acquisition activity in the second half
of the year.

    The strong REIT equity market offered renewed opportunities in the first
half of the year. Two initial public offerings were completed in late June, as
American Financial Realty and Maguire Properties together raised $1.4 billion in
common stock. This compares to just one IPO in 2002 (Heritage Properties), which
raised $450 million. Lower interest rates enabled REITs to tap the preferred
stock market as $1.7 billion was raised in the first half of 2003, compared to
$1.2 billion in the first half of 2002. Much of this capital was used to
refinance, at lower rates, preferred issues that reached their call dates. An
important source of demand for these securities has been mutual funds
specializing strictly in preferred stocks. REITs also issued $6.8 billion of
unsecured debt, mostly at historically low interest rates.

    Despite such market conditions, equity issuance was modest in the first half
of the year, as was demand for REIT shares. Common equity issuance, at $1.4
billion, was at a historical low and well below last year's $2.1 billion pace at
midyear. Capital flows into real estate mutual funds were $1.6 billion, compared
to $2.5 billion in the first half of 2002. Largely due to capital appreciation,
real estate mutual fund assets stood at a record $20 billion at midyear, up from
$15 billion just six months ago. Some observers have suggested that REITs were
relatively disadvantaged by the recent tax bill's exclusion of REITs from the
lowered 15% dividend tax rate for investors, because REITs already don't pay
taxes at the corporate level. Nonetheless their substantial dividend yield
potential (still superior to nearly all alternatives on an after-tax basis) and
growth potential have enabled REITs to remain the investment of choice for many
real estate and income-oriented investors.

    Finally, the matter of corporate governance has become one of the most
important issues in the financial world. As the nation's leading REIT investor
and a very long-term holder of these securities, we view corporate governance as
one of our most important responsibilities. While REITs in general tend to score
rather well in comparison to other industries, many concerns remain. In the
proxy-voting period of 2003, Cohen & Steers voted in opposition to management
proposals or directors on 22 separate occasions. Most of these related to poison
pills, board classification and independence, and compensation. Our emphasis on
corporate governance issues is not new; in 2002 we voted in opposition to
management 17 times, and in 2001, 21 times.

                                       2





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

INVESTMENT OUTLOOK

    In our opinion, the single most important investment variable today relates
to the current interest rate climate and the prospect of a low-return
environment for the foreseeable future. We have experienced a secular re-
pricing of the cost of money, as the inflation risk premium has effectively been
extinguished from the bond market. As short-term interest rates approach zero,
investors, savers, retirees, pension funds, foundations and endowments, and a
host of financial managers are at a loss to find appropriate means to fulfill
both long-term and short-term obligations. For example, a recent survey by
Morgan Stanley Research found that nearly 90% of the 292 S&P 500 component
companies they surveyed have annual return expectations of 8% or more for their
pension fund assets. These obligations simply cannot be satisfied through U.S.
Treasury or investment grade corporate debt securities whose coupons are far
below this minimum return expectation. The experience of the equity markets over
the past several years has served to rein in exposure to the volatility and low
current income of stocks in general. Ironically, despite this aversion to the
risk of equity markets, there has been a marked shift towards alternative and
riskier investments, including high yield bonds, commodities, foreign
securities, hedge funds and other vehicles, a trend that, frankly, we have
difficulty figuring out.

    In today's market environment, many investors are finding REITs to be a very
appealing asset class. Offering the potential for high income, tangible
underlying asset value, low correlation to other assets and long-term growth
potential, REITs are becoming increasingly more appreciated by investors.
Further, we believe that the prudent use of leverage -- which is plentiful today
at a modern record low cost -- by real estate owners and investors has helped
real estate prices remain firm despite weak fundamentals. Moreover, in our view,
it explains why REITs are trading closer to some analysts' net asset value
estimates than might otherwise be expected.

    The entire notion of net asset value is subject to considerable debate. It
is our opinion that many analysts are underestimating REIT NAVs because they are
ignoring three important variables. First, the capitalization rate used to value
current rental streams and the discount rate used to value future rental streams
are at a low point in history, suggesting that higher valuations are warranted.
Second is the replacement cost of REIT assets. From Class A downtown office
buildings to dominant regional malls, the cost to replace these assets --
assuming that one could at all -- far exceeds most current value estimates
of such properties. And third, since we believe we are just beginning new
economic and real estate growth cycles, investors should consider the
potential for real assets to appreciate as economic conditions improve. With
little or no speculative building taking place, except in the apartment sector,
it is unlikely that there will be a glut of new space coming on to the market
just as demand is increasing. This should necessarily precipitate an increase in
occupancy rates, rents and asset values.

    In our view, the key to continued positive returns from REITs is the future
course of the U.S. economy. As mentioned, signs of a recovery are beginning to
emerge. In light of the massive fiscal and monetary stimulus currently in place,
we are confident that in the coming quarters the economy will demonstrate
increasing strength.

    With respect to strategy, we are encouraged that our office sector holdings
are beginning to produce positive results. In our opinion, we are early in this
cycle and are making few changes except with respect to some individual
holdings. We are also maintaining a strong position in the hotel sector, in
anticipation of an improved economy. Similarly, we believe that regional malls,
the stars of the REIT industry over the past three years, are

                                       3





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

likely to show the strongest earnings growth and therefore remain an overweight
position. The only sector that we continue to have little enthusiasm for is
apartments, due to low demand created by ongoing incentives for, and the
unparalleled attractiveness of, single-family home ownership.

    When any sector performs as well as -- and for as long as -- REITs have, an
abundance of skeptics invariably appear, both among industry analysts as well as
outside observers. We remain firm in our belief that we are at the beginning of
a new cycle and that real estate owners are entering the new cycle in a very
strong position. Further, we are not inclined to be market timers because we
have not seen any timing strategies that have been consistently successful. We
are confident that REITs will continue to play an important role in investors'
portfolio needs.

Sincerely,

             MARTIN COHEN               ROBERT H. STEERS
             MARTIN COHEN               ROBERT H. STEERS
             President                  Chairman

                          JAMES S. CORL
                          JAMES S. CORL
                        Portfolio Manager

- --------------------------------------------------------------------------------
           Cohen & Steers is online at cohenandsteers.com

 We have enhanced both the look and features of our Web site to give you more
 information about our company, our funds and the REIT market in general.

 ONLINE ACCESS is available for shareholders of Cohen & Steers funds whose
 accounts are held directly with Boston Financial Data Services, the fund's
 transfer agent. After registering, you will be able to manage your entire
 account online including purchasing or redeeming shares, updating account
 information, and checking your portfolio holdings.

 Check out our interactive Asset Allocation Tool, which allows you to
 hypothetically add REITs to any portfolio to see how they impact expected
 total returns and risk. Or try the Fund Performance Calculator and see how
 our funds have performed versus the S&P 500 Index or Nasdaq composite. As
 always, you can also get daily net asset values, fund fact sheets, portfolio
 highlights, recent news articles and our overall insights on the REIT market.

              So visit us today at cohenandsteers.com
- --------------------------------------------------------------------------------

                                       4








<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                            SCHEDULE OF INVESTMENTS
                           JUNE 30, 2003 (UNAUDITED)

<Table>
<Caption>
                                                                 NUMBER          VALUE
                                                                OF SHARES       (NOTE 1)
                                                               -----------   --------------
                                                                    
EQUITIES                                             98.23%
    DIVERSIFIED                                       9.40%
         Crescent Real Estate Equities Co. .................     2,160,200   $   35,880,922
         Vornado Realty Trust...............................     2,155,600       93,984,160
                                                                             --------------
                                                                                129,865,082
                                                                             --------------
    HEALTH CARE                                       1.09%
         Ventas.............................................       990,200       15,001,530
                                                                             --------------
    HOTEL                                             7.06%
         Hilton Hotels Corp.................................       998,000       12,764,420
         Host Marriott Corp.(a).............................     4,175,000       38,201,250
         Starwood Hotels & Resorts Worldwide................     1,630,500       46,615,995
                                                                             --------------
                                                                                 97,581,665
                                                                             --------------
    INDUSTRIAL                                        9.22%
         AMB Property Corp. ................................       849,400       23,927,598
         Catellus Development Corp.(a)......................     2,117,800       46,591,600
         ProLogis...........................................     2,085,200       56,925,960
                                                                             --------------
                                                                                127,445,158
                                                                             --------------
    OFFICE                                           25.70%
         Arden Realty.......................................     2,063,000       53,534,850
         Boston Properties..................................     1,806,700       79,133,460
         Brookfield Properties Corp.(b).....................     2,408,200       51,512,299
         CarrAmerica Realty Corp. ..........................       935,100       26,005,131
         Equity Office Properties Trust.....................     2,712,499       73,264,598
         Highwoods Properties...............................       132,100        2,945,830
         Mack-Cali Realty Corp. ............................       594,200       21,616,996
         Maguire Properties.................................       540,600       10,406,550
         Prentiss Properties Trust..........................       631,400       18,935,686
         SL Green Realty Corp. .............................       510,800       17,821,812
                                                                             --------------
                                                                                355,177,212
                                                                             --------------
</Table>

- -------------------
(a) Nonincome producing security.

(b) Brookfield Properties Corp. is a Canadian company whose common stock is
    listed on the Toronto and New York Stock Exchanges. The Toronto Stock
    Exchange is deemed the principal exchange for valuation purposes. The
    market value of the fund's position in Canadian dollars on June 30, 2003
    was $69,837,716 based on an exchange rate of 1 Canadian dollar to
    0.73760 U.S. dollars.

                See accompanying notes to financial statements.

                                       5





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                     SCHEDULE OF INVESTMENTS -- (CONTINUED)
                           JUNE 30, 2003 (UNAUDITED)

<Table>
<Caption>
                                                                 NUMBER          VALUE
                                                                OF SHARES       (NOTE 1)
                                                               -----------   --------------
                                                                    
    OFFICE/INDUSTRIAL                                 5.65%
         Kilroy Realty Corp. ...............................     1,071,700   $   29,471,750
         Liberty Property Trust.............................       547,600       18,946,960
         Reckson Associates Realty Corp. ...................     1,425,700       29,740,102
                                                                             --------------
                                                                                 78,158,812
                                                                             --------------
    RESIDENTIAL                                      15.88%
      APARTMENT                                      14.91%
         Archstone-Smith Trust..............................     2,532,600       60,782,400
         AvalonBay Communities..............................     1,451,600       61,896,224
         BRE Properties.....................................       492,900       16,364,280
         Equity Residential.................................     1,146,100       29,741,295
         Essex Property Trust...............................       296,200       16,957,450
         Post Properties....................................       763,900       20,243,350
                                                                             --------------
                                                                                205,984,999
                                                                             --------------
      MANUFACTURED HOME                               0.97%
         Sun Communities....................................       342,200       13,448,460
                                                                             --------------
         TOTAL RESIDENTIAL..................................                    219,433,459
                                                                             --------------
    SELF STORAGE                                      1.22%
         Public Storage.....................................       498,200       16,874,034
                                                                             --------------
    SHOPPING CENTER                                  23.01%
      COMMUNITY CENTER                                5.54%
         Developers Diversified Realty Corp. ...............       546,800       15,550,992
         Federal Realty Investment Trust....................     1,058,800       33,881,600
         Pan Pacific Retail Properties......................       244,500        9,621,075
         Regency Centers Corp. .............................       499,100       17,458,518
                                                                             --------------
                                                                                 76,512,185
                                                                             --------------
</Table>

                See accompanying notes to financial statements.

                                       6





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                     SCHEDULE OF INVESTMENTS -- (CONTINUED)
                           JUNE 30, 2003 (UNAUDITED)

<Table>
<Caption>
                                                                 NUMBER          VALUE
                                                                OF SHARES       (NOTE 1)
                                                               -----------   --------------
                                                                    
      REGIONAL MALL                                  17.47%
         CBL & Associates Properties........................       557,900   $   23,989,700
         General Growth Properties..........................       523,500       32,687,340
         Macerich Co. ......................................       778,500       27,348,705
         Mills Corp. .......................................       883,100       29,628,005
         Rouse Co. .........................................     1,625,600       61,935,360
         Simon Property Group...............................     1,687,800       65,874,834
                                                                             --------------
                                                                                241,463,944
                                                                             --------------
         TOTAL SHOPPING CENTER..............................                    317,976,129
                                                                             --------------
             TOTAL EQUITIES (Identified cost --
                $1,111,681,116).............................                  1,357,513,081
                                                                             --------------

<Caption>
                                                                PRINCIPAL
                                                                 AMOUNT
                                                               -----------
COMMERCIAL PAPER                                       0.88%
                                                                    
         State Street Boston Corp., 1.10%, due 7/1/2003
           (Identified cost -- $12,204,000).................   $12,204,000       12,204,000
                                                                             --------------
TOTAL INVESTMENTS (Identified  cost --
  $1,123,885,116) ................................... 99.11%                  1,369,717,081
OTHER ASSETS IN EXCESS OF LIABILITIES ...............  0.89%                     12,258,474
                                                     ------                  --------------
NET ASSETS (Equivalent to $48.27 per share based on
  28,627,263 shares of capital stock outstanding)..  100.00%                 $1,381,975,555
                                                     ------                  --------------
                                                     ------                  --------------
</Table>

                See accompanying notes to financial statements.

                                       7








<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                      STATEMENT OF ASSETS AND LIABILITIES
                           JUNE 30, 2003 (UNAUDITED)

<Table>
                                                           
ASSETS:
    Investments in securities, at value (Identified
       cost -- $1,123,885,116) (Note 1).....................  $1,369,717,081
    Cash....................................................             809
    Dividends receivable....................................       8,267,903
    Receivable for investment securities sold...............       5,745,388
    Receivable for fund shares sold.........................       3,132,143
    Other assets............................................          19,043
                                                              --------------
         Total Assets.......................................   1,386,882,367
                                                              --------------
LIABILITIES:
    Payable for investment securities purchased.............       2,443,484
    Payable for fund shares redeemed........................       1,133,456
    Payable to investment advisor...........................         961,642
    Payable to administrator................................          46,268
    Other liabilities.......................................         321,962
                                                              --------------
         Total Liabilities..................................       4,906,812
                                                              --------------
NET ASSETS applicable to 28,627,263 shares of $0.001 par
  value common stock outstanding (Note 5)...................  $1,381,975,555
                                                              --------------
                                                              --------------
NET ASSET VALUE PER SHARE:
  ($1,381,975,555 [div] 28,627,263 shares outstanding)......  $        48.27
                                                              --------------
                                                              --------------
NET ASSETS consist of:
    Paid-in capital (Notes 1 and 5).........................  $1,109,273,724
    Undistributed net investment income.....................       4,071,911
    Accumulated net realized gain on investments............      22,797,955
    Net unrealized appreciation on investments..............     245,831,965
                                                              --------------
                                                              $1,381,975,555
                                                              --------------
                                                              --------------
</Table>

                See accompanying notes to financial statements.

                                       8





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                            STATEMENT OF OPERATIONS
               FOR THE SIX MONTHS ENDED JUNE 30, 2003 (UNAUDITED)

<Table>
                                                           
Investment Income (Note 1):
    Dividend income (net of $74,993 of foreign withholding
       tax).................................................  $ 42,297,295
    Interest income.........................................        56,917
                                                              ------------
         Total Income.......................................    42,354,212
                                                              ------------
Expenses:
    Investment advisory fees (Note 2).......................     5,316,794
    Administration and transfer agent fees (Note 2).........       979,856
    Reports to shareholders.................................       192,137
    Custodian fees and expenses.............................        68,162
    Line of credit fees and expenses (Note 7)...............        54,621
    Professional fees.......................................        33,910
    Directors' fees and expenses (Note 2)...................        21,674
    Registration and filing fees............................        14,667
    Miscellaneous...........................................        49,862
                                                              ------------
         Total Expenses.....................................     6,731,683
                                                              ------------
    Reduction of Expenses (Note 6)..........................       (16,184)
                                                              ------------
         Net Expenses.......................................     6,715,499
                                                              ------------
Net Investment Income.......................................    35,638,713
                                                              ------------
Net Realized and Unrealized Gain on Investments:
    Net realized gain on investments........................    20,210,524
    Net change in unrealized appreciation on investments....   112,602,666
                                                              ------------
         Net realized and unrealized gain on investments....   132,813,190
                                                              ------------
Net Increase in Net Assets Resulting from Operations........  $168,451,903
                                                              ------------
                                                              ------------
</Table>

                See accompanying notes to financial statements.

                                       9





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                 STATEMENT OF CHANGES IN NET ASSETS (UNAUDITED)

<Table>
<Caption>
                                                       FOR THE             FOR THE
                                                   SIX MONTHS ENDED       YEAR ENDED
                                                    JUNE 30, 2003     DECEMBER 31, 2002
                                                   ----------------   ------------------
                                                                
Change in Net Assets:
    From Operations:
         Net investment income...................   $   35,638,713      $   75,296,182
         Net realized gain on investments........       20,210,524          38,825,959
         Net change in unrealized
            appreciation/(depreciation) on
            investments..........................      112,602,666         (83,361,304)
                                                    --------------      --------------
              Net increase in net assets
                resulting from operations........      168,451,903          30,760,837
                                                    --------------      --------------
    Dividends and Distributions to Shareholders
       from (Notes 1 and 4):
         Net investment income...................      (31,566,802)        (74,316,159)
                                                    --------------      --------------
    Capital Stock Transactions (Note 5):
         Decrease in net assets from fund share
            transactions.........................      (10,351,544)        (88,093,990)
                                                    --------------      --------------
              Total increase/(decrease) in net
                assets...........................      126,533,557        (131,649,312)

    Net Assets:
         Beginning of period.....................    1,255,441,998       1,387,091,310
                                                    --------------      --------------
         End of period...........................   $1,381,975,555      $1,255,441,998
                                                    --------------      --------------
                                                    --------------      --------------
</Table>

                See accompanying notes to financial statements.

                                       10








<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                        FINANCIAL HIGHLIGHTS (UNAUDITED)

    The following table includes selected data for a share outstanding
throughout each period and other performance information derived from the
financial statements. It should be read in conjunction with the financial
statements and notes thereto.

<Table>
<Caption>
                                              FOR THE SIX              FOR THE YEAR ENDED DECEMBER 31,
                                             MONTHS ENDED    ----------------------------------------------------
PER SHARE OPERATING PERFORMANCE:             JUNE 30, 2003     2002       2001       2000       1999       1998
- --------------------------------             -------------   --------   --------   --------   --------   --------
                                                                                       
Net asset value, beginning of period.......    $  43.34      $  44.41   $  44.26   $  36.91   $  37.98   $  50.18
                                               --------      --------   --------   --------   --------   --------
Income from investment operations:
    Net investment income..................        1.26          2.42       2.31       2.28       2.01       1.97
    Net realized and unrealized gain/(loss)
      on investments.......................        4.78         (1.12)      0.11       7.31      (1.10)    (10.89)
                                               --------      --------   --------   --------   --------   --------
        Total income from investment
          operations.......................        6.04          1.30       2.42       9.59       0.91      (8.92)
                                               --------      --------   --------   --------   --------   --------
Less dividends and distributions to
  shareholders from:
    Net investment income..................       (1.12)        (2.38)     (1.74)     (1.91)     (1.69)     (1.59)
    Net realized gain on investments.......          --            --         --         --         --      (1.56)
    Tax return of capital..................          --            --      (0.53)     (0.33)     (0.29)     (0.13)
                                               --------      --------   --------   --------   --------   --------
        Total dividends and distributions
          to shareholders..................       (1.12)        (2.38)     (2.27)     (2.24)     (1.98)     (3.28)
                                               --------      --------   --------   --------   --------   --------
Redemption fees retained by fund...........        0.01          0.01         --         --         --         --
                                               --------      --------   --------   --------   --------   --------
        Net increase/(decrease) in net
          assets...........................        4.93         (1.07)      0.15       7.35      (1.07)    (12.20)
                                               --------      --------   --------   --------   --------   --------
Net asset value, end of period.............    $  48.27      $  43.34   $  44.41   $  44.26   $  36.91   $  37.98
                                               --------      --------   --------   --------   --------   --------
                                               --------      --------   --------   --------   --------   --------
- -----------------------------------------------------------------------------------------------------------------
Total investment return....................       14.12%(a)      2.79%      5.70%     26.63%      2.68%    -18.07%
                                               --------      --------   --------   --------   --------   --------
                                               --------      --------   --------   --------   --------   --------
- -----------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA:
- -------------------------
Net assets, end of period (in millions)....    $1,382.0      $1,255.4   $1,387.1   $1,309.0   $1,465.0   $1,933.3
                                               --------      --------   --------   --------   --------   --------
                                               --------      --------   --------   --------   --------   --------
Ratio of expenses to average daily net
  assets (before expense reduction)........        1.08%(b)      1.08%      1.09%      1.07%      1.07%      1.04%
                                               --------      --------   --------   --------   --------   --------
                                               --------      --------   --------   --------   --------   --------
Ratio of expenses to average daily net
  assets (net of expense reduction)........        1.08%(b)      1.08%      1.09%      1.07%      1.06%      1.03%
                                               --------      --------   --------   --------   --------   --------
                                               --------      --------   --------   --------   --------   --------
Ratio of net investment income to average
  daily net assets (before expense
  reduction)...............................        5.70%(b)      5.20%      5.24%      5.39%      5.15%      4.23%
                                               --------      --------   --------   --------   --------   --------
                                               --------      --------   --------   --------   --------   --------
Ratio of net investment income to average
  daily net assets (net of expense
  reduction)...............................        5.70%(b)      5.20%      5.24%      5.39%      5.16%      4.24%
                                               --------      --------   --------   --------   --------   --------
                                               --------      --------   --------   --------   --------   --------
Portfolio turnover rate....................       22.81%(a)     37.30%     44.52%     33.49%     21.34%     30.18%
                                               --------      --------   --------   --------   --------   --------
                                               --------      --------   --------   --------   --------   --------
</Table>
- -------------------
(a) Not annualized.
(b) Annualized.

                See accompanying notes to financial statements.

                                       11








<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                   NOTES TO FINANCIAL STATEMENTS (UNAUDITED)

NOTE 1. SIGNIFICANT ACCOUNTING POLICIES

    Cohen & Steers Realty Shares, Inc. (the fund) was incorporated under the
laws of the State of Maryland on April 26, 1991 and is registered under the
Investment Company Act of 1940, as amended, as an open-end, nondiversified
management investment company.

    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 accounting principles generally accepted in the
United States of America. The preparation of the financial statements in
accordance 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 year. Actual results could differ from
those estimates.

    Portfolio Valuation: Investments in securities that are listed on the New
York Stock Exchange are valued, except as indicated below, at the last sale
price reflected at the close of the New York Stock Exchange on the business day
as of which such value is being determined. If there has been no sale on such
day, the securities are valued at the mean of the closing bid and asked prices
for the day.

    Securities not listed on the New York Stock Exchange but listed on other
domestic or foreign securities exchanges or admitted to trading on the National
Association of Securities Dealers Automated Quotations, Inc. (Nasdaq) national
market system are valued in a similar manner. Securities traded on more than one
securities exchange are valued at the last sale price on the business day as of
which such value is being determined as reflected on the tape at the close of
the exchange representing the principal market for such securities.

    Readily marketable securities traded in the over-the-counter market,
including listed securities whose primary market is believed by Cohen & Steers
Capital Management, Inc. to be over-the-counter, but excluding securities
admitted to trading on the Nasdaq national list, are valued at the official
closing prices as reported by Nasdaq, the National Quotation Bureau, or such
other comparable sources as the board of directors deems appropriate to reflect
their fair market value. Where securities are traded on more than one exchange
and also over-the-counter, the securities will generally be valued using the
quotations the board of directors believes most closely reflect the value of
such securities.

    Unrealized gains and losses on securities which result from changes in
foreign exchange rates, as well as changes in market prices of securities, are
included in unrealized appreciation/(depreciation) on investments.

    Short-term debt securities, which have a maturity value of 60 days or less,
are valued at amortized cost, which approximates value.

    Security Transactions and Investment Income: Security transactions are
recorded on trade date. Realized gains and losses on investments sold are
recorded on the basis of identified cost for accounting and tax purposes.
Interest income is recorded on the accrual basis. Dividend income is recorded on
the ex-dividend date.

                                       12





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

            NOTES TO FINANCIAL STATEMENTS (UNAUDITED) -- (CONTINUED)

    Dividends and Distributions to Shareholders: Dividends from net investment
income are declared and paid quarterly. Distributions to shareholders are
recorded on the ex-dividend date. Dividends will automatically be reinvested in
full and fractional shares of the fund based on the net asset value per share at
the close of business on the ex-dividend date unless the shareholder has elected
to have them paid in cash.

    A portion of the fund's dividend may consist of amounts in excess of net
investment income derived from nontaxable components of the dividends from the
fund's portfolio investments. Net realized capital gains, unless offset by any
available capital loss carryforward, are distributed to shareholders annually.

    Dividends from net income and capital gain distributions are determined in
accordance with U.S. Federal Income Tax regulations, which may differ from
generally accepted accounting principles.

    Federal Income Taxes: It is the policy of the fund to qualify as a regulated
investment company, if such qualification is in the best interest of the
shareholders, by complying with the requirements of Subchapter M of the Internal
Revenue Code applicable to regulated investment companies, and by distributing
substantially all of its taxable earnings to its shareholders. Accordingly, no
provision for federal income or excise tax is necessary.

NOTE 2. INVESTMENT ADVISORY AND ADMINISTRATION FEES AND OTHER TRANSACTIONS WITH
        AFFILIATES

    Investment Advisory Fees: Cohen & Steers Capital Management, Inc. (the
advisor) serves as the fund's investment advisor pursuant to an investment
advisory agreement (the advisory agreement). Under the terms of the advisory
agreement, the advisor provides the fund with the day-to-day investment
decisions and generally manages the fund's investments in accordance with the
stated policies of the fund, subject to the supervision of the fund's board of
directors. For the services provided to the fund, the advisor receives a monthly
fee in an amount equal to 1/12th of 0.85% for the first $1.5 billion and 1/12th
of 0.75% thereafter of the average daily net assets of the fund. For the six
months ended June 30, 2003, the fund incurred $5,316,794 in advisory fees.

    Administration Fees: The fund has entered into an administration agreement
with the advisor under which the advisor performs certain administrative
functions for the fund and receives a fee of 0.02% of the fund's average daily
assets. For the six months ended June 30, 2003, the fund paid the advisor
$125,101 fees under this administration agreement.

    Directors' Fees: Certain directors and officers of the fund are also
directors, officers, and/or employees of the advisor. None of the directors and
officers so affiliated received compensation from the fund for their services.
For the six months ended June 30, 2003, fees and related expenses accrued for
nonaffiliated directors totaled $21,674.

NOTE 3. PURCHASES AND SALES OF SECURITIES

    Purchases and sales of securities, excluding short-term investments, for the
six months ended June 30, 2003 totaled $285,194,724 and $304,159,641,
respectively.

                                       13





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

            NOTES TO FINANCIAL STATEMENTS (UNAUDITED) -- (CONTINUED)

NOTE 4. INCOME TAXES

    At June 30, 2003, the cost of investments and net unrealized appreciation
for federal income tax purposes were as follows:

<Table>
                                                
Aggregate cost...................................  $1,123,885,116
                                                   --------------
                                                   --------------
Gross unrealized appreciation....................  $  252,050,290
Gross unrealized depreciation....................  $   (6,218,325)
                                                   --------------
Net unrealized appreciation......................  $  245,831,965
                                                   --------------
                                                   --------------
</Table>

    Net investment income and net realized gains differ for financial statement
and tax purposes primarily due to return of capital, capital gain distributions
and wash sales received by the fund on portfolio securities and gains on
redemption in-kind. To the extent such differences are permanent in nature, such
amounts are reclassified within the capital accounts. Short-term capital gains
are reflected in the financial statements as realized gains on investments but
are typically reclassified as ordinary income for tax purposes.

NOTE 5. CAPITAL STOCK

    The fund is authorized to issue 200 million shares of capital stock at a par
value of $0.001 per share. The board of directors of the fund may increase or
decrease the aggregate number of shares of common stock that the fund has
authority to issue. Transactions in fund shares were as follows:

<Table>
<Caption>
                                       FOR THE                       FOR THE
                                   SIX MONTHS ENDED                YEAR ENDED
                                    JUNE 30, 2003               DECEMBER 31, 2002
                              --------------------------   ---------------------------
                                SHARES        AMOUNT         SHARES         AMOUNT
                              ----------   -------------   -----------   -------------
                                                             
Sold........................   3,275,157   $ 147,842,691     9,631,012   $ 441,149,515
Issued as reinvestment of
  dividends.................     613,760      28,098,257     1,471,353      67,224,906
Redeemed....................  (4,228,501)   (186,450,675)  (13,212,760)   (590,252,121)
Redeemed in-kind(a).........          --              --      (158,254)     (6,569,140)
Redemption fees retained by
  fund(b)...................          --         158,183            --         352,850
                              ----------   -------------   -----------   -------------
Net decrease................    (339,584)  $ (10,351,544)   (2,268,649)  $ (88,093,990)
                              ----------   -------------   -----------   -------------
                              ----------   -------------   -----------   -------------
</Table>
- ---------
(a) Certain fund shareholders who met the minimum investment requirements of
    Cohen & Steers Institutional Realty Shares, Inc. were permitted to redeem
    shares of the fund in-kind and make subsequent in-kind purchases in Cohen
    & Steers Institutional Realty Shares, Inc.

(b) Effective November 15, 2001, the fund charges a redemption fee of 1.00% of
    the value of any shares sold or exchanged within six months of the time of
    purchase.

NOTE 6. DIRECTED BROKERAGE ARRANGEMENTS

    The advisor has directed certain portfolio trades to brokers who paid a
portion of the fund's expenses. For the six months ended June 30, 2003, the
fund's expenses were reduced by $16,184 under this arrangement.

                                       14





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

            NOTES TO FINANCIAL STATEMENTS (UNAUDITED) -- (CONTINUED)

NOTE 7. BORROWINGS

    The fund, in conjunction with Cohen & Steers Institutional Realty Shares,
Inc., Cohen & Steers Special Equity Fund, Inc., and Cohen & Steers Equity Income
Fund, Inc. has entered into a $200,000,000 credit agreement (the credit
agreement) with Fleet National Bank, as administrative agent, State Street Bank
and Trust Company, as operations agent, and the lenders identified in the credit
agreement.

    During the six months ended June 30, 2003, the fund had no loans
outstanding. For the six months ended June 30, 2003, the fund paid commitment
fees and other expenses of $54,621.

                                       15





<Page>


                       COHEN & STEERS REALTY SHARES, INC.

                          AVERAGE ANNUAL TOTAL RETURNS
                         (PERIODS ENDED JUNE 30, 2003)

<Table>
<Caption>
ONE YEAR                FIVE YEARS                TEN YEARS                SINCE INCEPTION (7/2/91)
- --------                ----------                ---------                ------------------------
                                                                  
 3.62%                    7.07%                    10.58%                           12.49%
</Table>

                                       16








<Page>


                       COHEN & STEERS REALTY SHARES, INC.

<Table>
                                                      
                          MEET THE COHEN & STEERS FAMILY OF OPEN-END FUNDS:


              FOR HIGH CURRENT INCOME:                                FOR TOTAL RETURN:

                   COHEN & STEERS                                      COHEN & STEERS
                 EQUITY INCOME FUND                                    REALTY SHARES

      IDEAL FOR INVESTORS SEEKING A HIGH DIVIDEND         IDEAL FOR INVESTORS SEEKING MAXIMUM TOTAL
      YIELD AND CAPITAL APPRECIATION, INVESTING           RETURN THROUGH BOTH CURRENT INCOME AND
      PRIMARILY IN REITS                                  CAPITAL APPRECIATION, INVESTING PRIMARILY
                                                          IN REITS
      A, B, C AND I SHARES AVAILABLE
                                                          SYMBOL: CSRSX
      SYMBOLS: CSEIX, CSBIX, CSCIX, CSDIX


             FOR CAPITAL APPRECIATION:                                FOR TOTAL RETURN:

                   COHEN & STEERS                                      COHEN & STEERS
                 SPECIAL EQUITY FUND                             INSTITUTIONAL REALTY SHARES

      IDEAL FOR INVESTORS SEEKING MAXIMUM CAPITAL         IDEAL FOR INVESTORS SEEKING MAXIMUM TOTAL
      APPRECIATION, INVESTING IN A LIMITED NUMBER         RETURN THROUGH BOTH CURRENT INCOME AND
      OF REITS AND OTHER REAL ESTATE COMPANIES            CAPITAL APPRECIATION, INVESTING PRIMARILY
                                                          IN REITS
      CONCENTRATED, HIGHLY FOCUSED PORTFOLIO
                                                          OFFERS LOW TOTAL EXPENSE RATIO
      SYMBOL: CSSPX
                                                          HIGHER MINIMUM PURCHASE REQUIRED

                                                          SYMBOL: CSRIX

                          FOR MORE INFORMATION ABOUT ANY COHEN & STEERS FUND
                           OR TO OBTAIN A PROSPECTUS PLEASE CONTACT US AT:
                     1-800-330-REIT, OR VISIT OUR WEB SITE AT COHENANDSTEERS.COM

     THE PROSPECTUS CONTAINS MORE INFORMATION ABOUT EACH FUND INCLUDING ALL CHARGES AND EXPENSES,
                           AND SHOULD BE READ CAREFULLY BEFORE YOU INVEST.
</Table>

                                       17








<Page>


                       COHEN & STEERS REALTY SHARES, INC.

OFFICERS AND DIRECTORS                   KEY INFORMATION

Robert H. Steers                         INVESTMENT ADVISOR
Director and chairman                    Cohen & Steers Capital Management, Inc.
                                         757 Third Avenue
Martin Cohen                             New York, NY 10017
Director and president                   (212) 832-3232

Gregory C. Clark                         FUND SUBADMINISTRATOR AND CUSTODIAN
Director                                 State Street Bank and Trust Company
                                         225 Franklin Street
Bonnie Cohen                             Boston, MA 02110
Director
                                         TRANSFER AGENT
George Grossman                          Boston Financial Data Services, Inc.
Director                                 Two Heritage Drive
                                         North Quincy, MA 02171
Richard J. Norman                        (800) 437-9912
Director
                                         LEGAL COUNSEL
Willard H. Smith Jr.                     Simpson Thacher & Bartlett
Director                                 425 Lexington Avenue
                                         New York, NY 10017
Adam Derechin
Vice president and assistant treasurer   DISTRIBUTOR
                                         Cohen & Steers Securities, LLC
Lawrence B. Stoller                      757 Third Avenue
Assistant secretary                      New York, NY 10017

                                         Nasdaq Symbol: CSRSX

                                         Web site: cohenandsteers.com

                                         Net asset value (NAV) can be found in
                                         the daily mutual fund listings in the
                                         financial section of most major
                                         newspapers under Cohen & Steers.

                                         This report is authorized for delivery
                                         only to shareholders of Cohen & Steers
                                         Realty Shares, Inc. unless accompanied
                                         or preceded by the delivery of a
                                         currently effective prospectus setting
                                         forth details of the fund. Past
                                         performance is of course no guarantee
                                         of future results and your investment
                                         may be worth more or less at the time
                                         you sell.

                                       18







<Page>



COHEN & STEERS
REALTY SHARES
757 THIRD AVENUE
NEW YORK, NY 10017




      COHEN & STEERS
      REALTY SHARES



- ---------------------------
     SEMIANNUAL REPORT
       JUNE 30, 2003




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

The division sign shall be expressed as .................................[div]
The section symbol shall be expressed as .................................'SS'