METLIFE STATE STREET MONEY MARKET TRUST
N-30D, 1995-11-29
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[Front cover]

[State Street Research logo]

State Street Research Money Market Fund
Semiannual Report

[graphic  of fisherman by stream]

September 30, 1995

Whats Inside
Investment Update About the Fund, economy
and markets

Fund Information
Facts and figures Plus, Complete Portfolio Holdings
and Financial Statements

<PAGE>
STATE STREET RESEARCH MONEY MARKET FUND 

- -------------------------------------------------------------------------------
INVESTMENT UPDATE 
- -------------------------------------------------------------------------------

INVESTMENT ENVIRONMENT 

The Economy 

(bullet) Economic growth has been moderate, and inflation remains low.

(bullet) Strong consumer confidence helped boost spending, resulting in higher
         consumer debt levels. Job growth continues to fluctuate, and
         unemployment has stayed relatively low.

(bullet) The Federal Reserve cut interest rates by one-quarter point on July
         6, 1995. As of September 30, 1995, there had been no further action
         taken by the Fed.

The Markets 

(bullet) Stock and bond markets showed strong performance, albeit with
         occasional declines, from April 1 to September 30, 1995.

(bullet) 1995 continues to be the best year for stocks since 1991. The S&P 500
         was up +18.23% for the six-month period ended September 30, 1995.(1)

(bullet) Bonds also performed well. The Lehman Brothers Aggregate Bond Index
         gained +8.18% from April 1 to September 30, 1995.(1)

THE FUND 

Over the past six months 

(bullet) Money market yields have decreased slightly over the past six months.
         For Class E shares of the Fund, the yield moved from 5.40% to 5.04%.

(bullet) The Fund maintained its stable net asset value of $1.00 per share.
         Current strategy (bullet) The Fund's portfolio consists entirely of
         high-quality, "first-tier" commercial paper issued by large
         corporations.

(bullet) The weighted average maturity of the Fund as of September 30, 1995
         was 40 days.

1 The Standard & Poor's 500 Composite Index (S&P 500) includes 500 widely 
traded common stocks and is a commonly used measure of U.S. stock market 
performance. The Lehman Brothers Aggregate Bond Index is a commonly used 
measure of bond market performance. The indices are unmanaged and do not take 
sales charges into consideration. Direct investment in the indices is not 
possible; results are for illustrative purposes only. 


- -------------------------------------------------------------------------------
FUND INFORMATION (all data are for periods ended September 30, 1995) 
- -------------------------------------------------------------------------------

<TABLE>
<CAPTION>
7-Day Yield 
===============================================================================
<S>                                                              <C>
Class B                                                          4.04% 
- -------------------------------------------------------------------------------
Class C                                                          5.04% 
- -------------------------------------------------------------------------------
Class D                                                          4.04% 
- -------------------------------------------------------------------------------
Class E                                                          5.04% 
===============================================================================
</TABLE>
Yield is calculated by annualizing the Fund's per 
share distributions for the most recent seven days 
and dividing by the net asset value per share at the 
end of the period. Yields shown reflect voluntary 
reduction of fund fees and expenses. Without a 
reduction of Fund fees and expenses, the 7-day yield would have been 3.73% 
for Class B shares, 4.73% 
for Class C shares, 3.73% for Class D shares, and 
4.73% for Class E shares. 

(LINE CHART)
Month-End 7-Day Yields 
State Street Research Money Market Fund 
Class E Shares 

9/94    4.1
10/94   4.24
11/94   4.66
12/94   5.19
1/95    5.19
2/95    5.34
3/95    5.4
4/95    5.4
5/95    5.37
6/95    5.31
7/95    5.16
8/95    5.08
9/95    5.04

Yields shown reflect voluntary reduction of fund fees and expenses. 

<PAGE>

STATE STREET RESEARCH MONEY MARKET FUND 

- -------------------------------------------------------------------------------
INVESTMENT PORTFOLIO 
- -------------------------------------------------------------------------------
September 30, 1995 (Unaudited) 
<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------
                                   Principal     Maturity        Value 
                                     Amount        Date        (Note 1) 
- -------------------------------------------------------------------------------
<S>                               <C>          <C>           <C>
COMMERCIAL PAPER 100.6% 
Bank Holding Company 15.1% 
Canadian Imperial Holdings 
  Inc., 5.72%                     $8,000,000   11/14/1995    $  7,944,071 
J.P. Morgan & Co., 5.67%           6,000,000   12/22/1995       5,922,510 
J.P. Morgan & Co., 5.62%           5,000,000   12/22/1995       4,935,994 
State Street Boston Corp., 
  5.55%                            5,000,000   12/21/1995       4,937,563 
Toronto Dominion Holdings 
  (U.S.A.), Inc., 5.67%            3,000,000   11/21/1995       2,975,903 
Toronto Dominion Holdings 
  (U.S.A.), 5.62%                  7,000,000   12/19/1995       6,913,671 
                                                             ------------ 
                                                               33,629,712 
                                                             ------------ 
Canadian 10.9% 
Canadian Wheat Board, 5.65%        5,340,000   10/04/1995       5,337,486 
Canadian Wheat Board, 5.68%        4,175,000   10/26/1995       4,158,532 
Province of British Columbia, 
  5.72%                            3,900,000   12/18/1995       3,851,666 
Province of Quebec, 5.76%          4,000,000   10/04/1995       3,998,080 
Province of Quebec, 5.71%          7,000,000   12/01/1995       6,933,103 
                                                             ------------ 
                                                               24,278,867 
                                                             ------------ 
Captive Automobile Finance 5.4% 
Ford Motor Credit Co., 5.67%       3,298,000   12/04/1995       3,265,167 
General Motors Acceptance 
  Corp., 5.69%                     9,000,000   12/26/1995       8,877,665 
                                                             ------------ 
                                                               12,142,832 
                                                             ------------ 
Captive Finance 7.6% 
Pitney Bowes Credit Corp., 
  5.70%                            4,000,000   10/23/1995       3,986,067 
Pitney Bowes Credit Corp., 
  5.63%                            6,000,000   11/27/1995       5,946,515 
Sears Roebuck Acceptance Corp., 
  5.67%                            7,000,000   10/16/1995       6,983,463 
                                                             ------------ 
                                                               16,916,045 
                                                             ------------ 
Communications 3.1% 
Southwestern Bell Telephone 
  Co., 5.60%                       7,000,000   12/07/1995       6,927,044 
                                                             ------------ 
Consumer Finance 15.0% 
American Express Credit Corp., 
  5.60%                            7,000,000   10/03/1995       6,997,822 
American General Finance Corp., 
  5.65%                            8,000,000   11/02/1995       7,959,822 
Beneficial Corp., 5.68%            7,000,000   11/17/1995       6,948,091 
Beneficial Corp., 5.68%            4,000,000   12/21/1995       3,948,880 
Household Finance Corp., 5.73%     7,600,000   10/13/1995       7,585,484 
                                                             ------------ 
                                                               33,440,099 
                                                             ------------ 

Diversified Finance 13.8% 
CIT Group Holdings, Inc., 
  5.60%                           $9,000,000   10/06/1995    $  8,993,000 
General Electric Capital Corp., 
  5.70%                            5,849,000   10/20/1995       5,831,404 
General Electric Capital Corp., 
  5.60%                            5,000,000   12/14/1995       4,942,444 
Transamerica Finance Group, 
  Inc., 5.60%                      7,000,000   10/12/1995       6,988,022 
Transamerica Finance Group, 
  Inc., 5.68%                      4,000,000   11/13/1995       3,972,862 
                                                             ------------ 
                                                               30,727,732 
                                                             ------------ 
Electric 3.6% 
Southern California Edison Co., 
  5.67%                            8,000,000   11/01/1995       7,960,940 
                                                             ------------ 
Food & Beverage Products 8.1% 
Coca-Cola Co., 5.70%               8,000,000   11/09/1995       7,951,293 
Philip Morris Companies, Inc., 
  6.50%                            2,223,000   10/02/1995       2,222,599 
Philip Morris Companies, Inc., 
  5.67%                            8,000,000   10/02/1995       7,998,740 
                                                             ------------ 
                                                               18,172,632 
                                                             ------------ 
Grains 3.1% 
Cargill, Inc., 5.60%               7,000,000   10/11/1995       6,989,111 
                                                             ------------ 
Office Equipment 2.1% 
Hewlett-Packard Co., 5.62%         4,700,000   11/07/1995       4,672,852 
                                                             ------------ 
Oil & Gas 4.0% 
Michigan Consolidated Gas Co., 
  5.68%                            3,000,000   12/14/1995       2,965,467 
Shell Oil Co., 5.59%               6,000,000   12/11/1995       5,933,733 
                                                             ------------ 
                                                                8,899,200 
                                                             ------------ 
Printing & Publishing 4.4% 
McGraw-Hill, Inc., 5.68%           6,000,000   10/19/1995       5,983,200 
McGraw-Hill, Inc., 5.65%           4,000,000   12/04/1995       3,959,822 
                                                             ------------ 
                                                                9,943,022 
                                                             ------------ 
Retail 4.4% 
Toys 'R Us, Inc., 5.73%            6,600,000   11/13/1995       6,554,829 
Wal-Mart Stores, Inc., 5.70%       3,292,000   10/13/1995       3,285,745 
                                                             ------------ 
                                                                9,840,574 
                                                             ------------ 
Total Investments (Cost $224,540,662)-100.6%                  224,540,662 
Cash and Other Assets, Less Liabilities--(0.6)%                (1,441,768) 
                                                             ------------ 
Net Assets--100.0%                                           $223,098,894 
                                                             ============ 
</TABLE>

The accompanying notes are an integral part of the financial statements. 

                                       2
<PAGE>

STATE STREET RESEARCH MONEY MARKET FUND 

- -------------------------------------------------------------------------------
STATEMENT OF ASSETS AND LIABILITIES 
- -------------------------------------------------------------------------------
September 30, 1995 (Unaudited) 

Statement of Operations 
For the six months ended September 30, 1995 (Unaudited) 

<TABLE>
<CAPTION>
<S>                                                    <C>
Assets 
Investments, at value (Cost $224,540,662) (Note 1)     $ 224,540,662 
Cash                                                          61,123 
Receivable for fund shares sold                               95,265 
Receivable from Distributor (Note 3)                          57,814 
Other assets                                                  58,238 
                                                       ------------- 
                                                         224,813,102 
Liabilities 
Payable for fund shares redeemed                           1,042,269 
Accrued transfer agent and shareholder services 
  (Note 2)                                                   250,430 
Dividends payable                                            204,112 
Accrued management fee (Note 2)                               91,552 
Accrued distribution fee (Note 5)                             10,711 
Accrued trustees' fees (Note 2)                                8,935 
Other accrued expenses                                       106,199 
                                                       ------------- 
                                                           1,714,208 
                                                       ------------- 
Net Assets                                             $ 223,098,894 
                                                       ============= 
Net Assets consist of: 
 Shares of beneficial interest                         $ 223,098,894 
                                                       ============= 
Net Asset Value and offering price per share of 
  Class B shares ($11,946,317 / 11,946,317 shares 
  of beneficial interest)*                                     $1.00 
                                                       ============= 
Net Asset Value, offering price and redemption 
  price per share of Class C shares ($17,661,562 / 
  17,661,562 shares of beneficial interest)                    $1.00 
                                                       ============= 
Net Asset Value and offering price per share of 
  Class D shares ($698,698 / 698,698 shares of 
  beneficial interest)*                                        $1.00 
                                                       ============= 
Net Asset Value, offering price and redemption 
  price per share of Class E shares ($192,792,317 / 
  192,792,317 shares of beneficial interest)                   $1.00 
                                                       ============= 
</TABLE>
- -------------------------------------------------------------------------------
* Redemption price per share for Class B and Class D is equal to net asset 
  value less any applicable contingent deferred sales charge. 


- -------------------------------------------------------------------------------
STATEMENT OF OPERATIONS
- -------------------------------------------------------------------------------
For the six months ended September 30, 1995 (Unaudited)
<TABLE>
<CAPTION>
<S>                                                 <C>
Investment Income 
Interest                                            $6,023,266 

Expenses 
Management fee (Note 2)                                504,359 
Transfer agent and shareholder services (Note 2)       447,435 
Custodian fee                                           55,449 
Registration fees                                       32,208 
Reports to shareholders                                 18,056 
Trustees' fees (Note 2)                                 14,274 
Audit fee                                               12,444 
Distribution fee--Class B (Note 5)                      55,068 
Distribution fee--Class D (Note 5)                       3,944 
Miscellaneous                                            1,622 
                                                    ---------- 
                                                     1,144,859 
Expenses borne by the Distributor (Note 3)            (329,309) 
                                                    ---------- 
                                                       815,550 
                                                    ---------- 

Net investment income and net increase in net 
  assets resulting from operations                  $5,207,716 
                                                    ========== 
</TABLE>
The accompanying notes are an integral part of the financial statements. 

                                       3
<PAGE>

STATE STREET RESEARCH MONEY MARKET FUND 

- -------------------------------------------------------------------------------
Statement of Changes in Net Assets
- -------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                  Six months 
                                     ended 
                                 September 30,     Year ended 
                                     1995           March 31, 
                                  (Unaudited)         1995 
- --------------------------------------------------------------- 
<S>                              <C>              <C>
Increase (Decrease) in Net Assets 
Operations: 
Net investment income and 
  net increase resulting 
  from operations                $  5,207,716     $  7,152,656 
                                 ------------     ------------ 
Dividends from net investment 
  income: 
 Class B                             (232,189)        (217,870) 
 Class C                             (325,388)        (256,892) 
 Class D                              (16,658)         (42,149) 
 Class E                           (4,633,481)      (6,635,745) 
                                 ------------     ------------ 
                                   (5,207,716)      (7,152,656) 
                                 ------------     ------------ 
Net increase from fund share 
  transactions (Note 6)            54,557,314       25,424,190 
                                 ------------     ------------ 
Total increase in net assets       54,557,314       25,424,190 
Net Assets 
Beginning of period               168,541,580      143,117,390 
                                 ------------     ------------ 
End of period                    $223,098,894     $168,541,580 
                                 ============     ============ 
</TABLE>

- -------------------------------------------------------------------------------
Notes to Unaudited Financial Statements 
- -------------------------------------------------------------------------------
September 30, 1995 

Note 1 

State Street Research Money Market Fund, formerly MetLife-State Street 
Research Money Market Fund (the "Fund") is a series of State Street Research 
Money Market Trust, formerly MetLife-State Street Money Market Trust (the 
"Trust"), which was organized as a Massachusetts business trust in April, 
1985 and is registered under the Investment Company Act of 1940, as amended, 
as an open-end management investment company. The Fund commenced operations 
in August, 1986. The Fund is presently the only active series of the Trust, 
although the Trustees have the authority to create an unlimited number of 
series. 

The Fund offers four classes of shares. Effective November 30, 1993, the Fund 
discontinued offering Class A shares and any existing Class A shares were 
redesignated Class E shares. Class A shares were subject to an initial sales 
charge of up to 4.50% and annual service fees of 0.25% of average daily net 
assets. Class B shares are subject to a contingent deferred sales charge on 
certain redemptions made within five years of purchase and pay annual 
distribution and service fees of 1.00%. Class B shares automatically convert 
into Class E shares (which pay lower ongoing expenses) at the end of eight 
years after the issuance of the Class B shares. Class C shares are only 
offered to certain employee benefit plans and large institutions. No sales 
charge is imposed at the time of purchase or redemption of Class C shares. 
Class C shares do not pay any distribution or service fees. Class D shares 
are subject to a contingent deferred sales charge of 1.00% on any shares 
redeemed within one year of their purchase. Class D shares also pay annual 
distribution and service fees of 1.00%. Class E shares are offered to any 
individual. Class E shares are not subject to any initial or contingent 
deferred sales charges and do not pay any distribution or service fees. The 
Fund's expenses are borne pro rata by each class, except that each class 
bears expenses, and has exclusive voting rights with respect to provisions of 
the Plan of Distribution, related specifically to that class. The Trustees 
declare separate dividends on each class of shares. 

The following significant accounting policies are consistently followed by 
the Fund in preparing its financial statements, and such policies are in 
conformity with generally accepted accounting principles for investment 
companies. 

A. Investment Valuation 

The Fund values securities at amortized cost, pursuant to which the Fund must 
adhere to certain conditions. The amortized cost method involves valuing a 
portfolio security initially at its cost and thereafter assuming a constant 
amortization to maturity of any discount or premium regardless of the effect 
of fluctuating interest rates on the market value of the investments. 

B. Security Transactions 

Security transactions are accounted for on the trade date (date the order to 
buy or sell is executed). Realized gains or losses, if any, are reported on 
the basis of identified cost of securities delivered. 


The accompanying notes are an integral part of the financial statements. 

                                       4
<PAGE>


STATE STREET RESEARCH MONEY MARKET FUND 

- -------------------------------------------------------------------------------
Notes (cont'd) 
- -------------------------------------------------------------------------------


C. Net Investment Income 

Net investment income is determined daily and consists of interest accrued 
and discount earned, less amortization of premium and the estimated daily 
expenses of the Fund. Interest income is accrued daily as earned. 

D. Dividends 

Dividends from net investment income are declared daily and paid or 
reinvested monthly. Net realized capital gains, if any, are distributed 
annually, unless additional distributions are required for compliance with 
applicable tax regulations. 

E. Federal Income Taxes 

No provision for Federal income taxes is necessary because the Fund has 
elected to qualify under Subchapter M of the Internal Revenue Code and its 
policy is to distribute all of its taxable income, including net realized 
capital gains, within the prescribed time periods. 

Note 2 

The Trust and State Street Research & Management Company (the "Adviser"), an 
indirect wholly owned subsidiary of Metropolitan Life Insurance Company 
("Metropolitan"), have entered into an agreement under which the Adviser 
earns monthly fees at an annual rate of 0.50% of the Fund's average daily net 
assets. In consideration of these fees, the Adviser furnishes the Fund with 
management, investment advisory, statistical and research facilities and 
services. The Adviser also pays all salaries, rent and certain other expenses 
of management. During the six months ended September 30, 1995, the fees 
pursuant to such agreement amounted to $504,359. 

State Street Research Shareholder Services, a division of State Street 
Research Investment Services, Inc., the Trust's principal underwriter (the 
"Distributor"), an indirect wholly owned subsidiary of Metropolitan, provides 
certain shareholder services to the Fund such as responding to inquiries and 
instructions from investors with respect to the purchase and redemption of 
shares of the Fund. During the six months ended September 30, 1995, the 
amount of such expenses was $109,657. 

The fees of the Trustees not currently affiliated with the Adviser amounted 
to $14,274 during the six months ended September 30, 1995. 

Note 3 

The Distributor and its affiliates may from time to time and in varying 
amounts voluntarily assume some portion of fees or expenses relating to the 
Fund. During the six months ended September 30, 1995, the amount of such 
expenses assumed by the Distributor and its affiliates was $329,309. 

Note 4 

For the six months ended September 30, 1995, purchases and sales, including 
maturities, of securities aggregated $1,510,349,453 and $1,461,150,000, 
respectively. 

Note 5 

The Trust has adopted a Plan of Distribution Pursuant to Rule 12b-1 (the 
"Plan") under the Investment Company Act of 1940. Under the Plan, the Fund 
pays annual distribution and service fees to the Distributor at a rate of 
0.75% and 0.25%, respectively, of average daily net assets for Class B and 
Class D shares. The Distributor uses such payments for personal services 
and/or the maintenance of shareholder accounts, to reimburse securities 
dealers for distribution and marketing services, to furnish ongoing 
assistance to investors and to defray a portion of its distribution and 
marketing expenses. For the six months ended September 30, 1995, fees 
pursuant to such plan amounted to $55,068 and $3,944 for Class B and Class D 
shares, respectively. 

The Fund has been informed that MetLife Securities, Inc., a wholly- owned 
subsidiary of Metropolitan, earned commissions aggregating $2,074 on sales of 
the Fund's Class B shares and that the Distributor collected contingent 
deferred sales charges of $75,700 on redemptions of Class B shares during the 
six months ended September 30, 1995. 

                                      5
<PAGE>

STATE STREET RESEARCH MONEY MARKET FUND 

Note 6 

The Trustees have the authority to issue an unlimited number of shares of 
beneficial interest, $.001 par value per share. 

At September 30, 1995, Metropolitan owned 478,979 Class B shares, 1,072,769 
Class C shares and 478,479 Class D shares and Metropolitan and certain of its 
affiliates held of record 79,542,391 Class E shares of the Fund. The Adviser 
owned 21,481 Class E shares and the Distributor owned 500,000 Class E shares 
of the Fund. 

Share transactions were as follows:
<TABLE>
<CAPTION>
                                               Six months ended 
                                              September 30, 1995                   Year ended 
                                                  (Unaudited)                    March 31, 1995 
                                          ----------------------------   ----------------------------- 
Class B                                     Shares          Amount          Shares          Amount 
- ------------------------------------------------------------------------------------------------------ 
<S>                                      <C>            <C>              <C>             <C>
Shares sold                                14,565,986   $  14,565,986      23,182,577    $  23,182,577 
Issued upon reinvestment of dividends         191,730         191,730         187,109          187,109 
Shares repurchased                        (12,133,660)    (12,133,660)    (17,075,600)     (17,075,600) 
                                         ------------   -------------    ------------    ------------- 
Net increase                                2,624,056   $   2,624,056       6,294,086    $   6,294,086 
                                         ============   =============    ============    ============= 
<CAPTION>
Class C                                     Shares          Amount          Shares          Amount 
- ------------------------------------------------------------------------------------------------------ 
<S>                                      <C>            <C>              <C>             <C>
Shares sold                                13,136,166   $  13,136,166      29,413,278    $  29,413,278 
Issued upon reinvestment of dividends         294,337         294,337         136,567          136,567 
Shares repurchased                         (3,655,222)     (3,655,222)    (23,449,528)     (23,449,528) 
                                         ------------   -------------    ------------    ------------- 
Net increase                                9,775,281   $   9,775,281       6,100,317    $   6,100,317 
                                         ============   =============    ============    ============= 
<CAPTION>
Class D                                     Shares          Amount          Shares          Amount 
- ------------------------------------------------------------------------------------------------------ 
<S>                                      <C>            <C>              <C>             <C>
Shares sold                                   748,596   $     748,596       4,119,869    $   4,119,869 
Issued upon reinvestment of dividends          11,323          11,323          35,281           35,281 
Shares repurchased                           (902,991)       (902,991)     (3,487,480)      (3,487,480) 
                                         ------------   -------------    ------------    ------------- 
Net increase (decrease)                      (143,072)  $    (143,072)        667,670    $     667,670 
                                         ============   =============    ============    ============= 
<CAPTION>
Class E                                     Shares          Amount          Shares          Amount 
- ------------------------------------------------------------------------------------------------------ 
<S>                                      <C>            <C>              <C>             <C>
Shares sold                               445,249,183   $ 445,249,183     895,389,466    $ 895,389,466 
Issued upon reinvestment of dividends       3,102,924       3,102,924       4,099,011        4,099,011 
Shares repurchased                       (406,051,058)   (406,051,058)   (887,126,360)    (887,126,360) 
                                         ------------   -------------    ------------    ------------- 
Net increase                               42,301,049   $  42,301,049      12,362,117    $  12,362,117 
                                         ============   =============    ============    ============= 
</TABLE>

                                       6
<PAGE>

STATE STREET RESEARCH MONEY MARKET FUND 

- -------------------------------------------------------------------------------
Financial Highlights 
- -------------------------------------------------------------------------------
For a share outstanding throughout each period: 
<TABLE>
<CAPTION>
                                                Class B                       Class C                        Class D 
                                      -------------------------- --------------------------------- ------------------------------

                                        Six months                    Six months                     Six months 
                                           ended      Year               ended       Year               ended       Year 
                                       September 30  ended           September 30,  ended           September 30,  ended  
                                           1995     March 31,            1995      March 31,            1995      March 31, 
                                        (Unaudited)   1995    1994**  (Unaudited)    1995    1994**  (Unaudited)    1995     1994**
- ---------------------------------------------------------------------------------------------------------------------------------
<S>                                      <C>          <C>     <C>       <C>        <C>     <C>        <C>         <C>      <C>
Net asset value, beginning of 
  period                                  $1.000      $1.000  $1.000    $1.000     $1.000  $1.000     $1.000      $1.000   $1.000 
Net investment income*                      .021        .032    .012      .026       .042    .021       .021        .032     .013 
Dividends from net investment 
  income                                   (.021)      (.032)  (.012)    (.026)     (.042)  (.021)     (.021)      (.032)   (.013)
                                          ------      ------  ------    ------     ------  ------     ------      ------   ------ 
Net asset value, end of period            $1.000      $1.000  $1.000    $1.000     $1.000  $1.000     $1.000      $1.000   $1.000 
                                          ======      ======  ======    ======     ======  ======     ======      ======   ====== 
Total return                                2.15%++     3.27%+  1.27%++   2.65%++    4.31%+  2.08%++    2.15%++     3.28%+  1.30%++
Net assets at end of period (000s)       $11,946      $9,322  $3,028   $17,662     $7,886  $1,786       $699        $842    $174 
Ratio of operating expenses to 
  average net assets*                       1.75%#      1.75%   1.75%#    0.75%#     0.75%   0.75%#     1.75%#      1.75%   1.75%#
Ratio of net investment income to 
  average net assets*                       4.22%#      3.53%   1.54%#    5.19%#     4.66%   2.54%#     4.22%#      3.30%   1.54%#
 *Reflects voluntary assumption of 
  fees or expenses per share in 
  each period (Note 3).                   $ .002      $ .004  $ .007    $ .002     $ .003  $ .006     $ .002      $ .005  $ .002 
- ---------------------------------------------------------------------------------------------------------------------------------
</TABLE>


<TABLE>
<CAPTION>
                                                                                          Class E 
                                                        -------------------------------------------------------------------------
                                                          Six months 
                                                             ended 
                                                         September 30,                      Year ended March 31 
                                                             1995         -------------------------------------------------------
                                                          (Unaudited)       1995     1994***      1993       1992       1991 
- ---------------------------------------------------------------------------------------------------------------------------------
<S>                                                       <C>            <C>        <C>        <C>        <C>        <C>
Net asset value, beginning of periood                       $1.000         $1.000     $1.000     $1.000     $1.000     $1.000 
Net investment income*                                        .026           .042       .025       .028       .048       .072 
Dividends from net investment income                         (.026)         (.042)     (.025)     (.028)     (.048)     (.072) 
                                                            ------         ------     ------     ------     ------     ------ 
Net asset value, end of period                              $1.000         $1.000     $1.000     $1.000     $1.000     $1.000 
                                                            ======         ======     ======     ======     ======     ====== 
Total return                                                  2.65%++        4.31%+     2.48%+     2.88%+     4.85%+     7.47%+ 
Net assets at end of period (000s)                        $192,792       $150,491   $138,129   $149,831   $168,088   $185,839 
Ratio of operating expenses to average net assets*            0.75%#         0.75%      0.75%      0.75%      0.75%      0.75% 
Ratio of net investment income to average net 
  assets*                                                     5.22%#         4.26%      2.46%      2.84%      4.77%      7.21% 
 *Reflects voluntary assumption of fees or expenses 
  per share in each period (Note 3).                         $.002         $.006      $.003      $.001      $.001       $.002 
- ---------------------------------------------------------------------------------------------------------------------------------
</TABLE>

** June 1, 1993 (commencement of share class designations) to March 31, 1994. 
#  Annualized. 
+  Total return figures do not reflect any front-end or contingent deferred 
   sales charges. Total return would be lower if the Distributor and its 
   affiliates had not voluntarily assumed a portion of the Fund's expenses. 
++ Represents aggregate return for the period without annualization and does 
   not reflect any front-end or contingent deferred sales charges. Total 
   return would be lower if the Distributor and its affiliates had not 
   voluntarily assumed a portion of the Fund's expenses. 

***Effective November 30, 1993, the Fund discontinued offering Class A shares 
   and any existing Class A shares were redesignated Class E shares. Net 
   investment income and dividends amounted to $.011 per share for Class A 
   shares during the period June 1, 1993 (commencement of share class 
   designations) to November 30, 1993. 

                                       7
<PAGE>
 
STATE STREET RESEARCH MONEY MARKET FUND 

- -------------------------------------------------------------------------------
FUND INFORMATION, OFFICERS AND TRUSTEES OF STATE STREET RESEARCH MONEY MARKET
TRUST
- -------------------------------------------------------------------------------

FUND INFORMATION

Investment Adviser 
State Street Research & 
Management Company 
One Financial Center 
Boston, MA 02111 

Distributor 
State Street Research 
Investment Services, Inc. 
One Financial Center 
Boston, MA 02111 

Shareholder Services 
State Street Research 
Shareholder Services 
P.O. Box 8408 
Boston, MA 02266-8408 
1-800-562-0032 

Custodian 
State Street Bank and 
Trust Company 
225 Franklin Street 
Boston, MA 02110 

Legal Counsel 
Goodwin, Procter & Hoar 
Exchange Place 
Boston, MA 02109 

Officers

Ralph F. Verni 
Chairman of the Board, 
President and 
Chief Executive Officer 

JoAnne C. Mulligan 
Vice President 

Thomas A. Shively 
Vice President 

Gerard P. Maus 
Treasurer 

Joseph W. Canavan 
Assistant Treasurer 

Douglas A. Romich 
Assistant Treasurer 

Francis J. McNamara, III 
Secretary and General Counsel 

Darman A. Wing 
Assistant Secretary and 
Assistant General Counsel 

Amy L. Simmons 
Assistant Secretary 

Trustees

Ralph F. Verni 
Chairman of the Board, 
President, Chief Executive 
Officer and Director, 
State Street Research & 
Management Company 

Edward M. Lamont 
Formerly in banking (Morgan 
Guaranty Trust Company of 
New York); presently engaged 
in private investments and 
civic affairs 

Robert A. Lawrence 
Partner, Saltonstall & Co. 

Dean O. Morton 
Retired; formerly Executive 
Vice President, Chief 
Operating Officer and Director, 
Hewlett-Packard Company 

Thomas L. Phillips 
Retired; formerly Chairman of 
the Board and Chief Executive 
Officer, Raytheon Company 

Toby Rosenblatt 
President, 
The Glen Ellen Company 
Vice President, 
Founders Investments Ltd. 

Michael S. Scott Morton 
Jay W. Forrester Professor of 
Management, Sloan School of 
Management, Massachusetts 
Institute of Technology 

Jeptha H. Wade 
Retired; formerly Of Counsel, 
Choate, Hall & Stewart 

                                       8


<PAGE>
[Back cover]

State Street Research Money Market Fund
One Financial Center
Boston, MA 02111

Bulk Rate
U.S.Postage
PAID
Brockton,  MA
Permit No.600

Questions?
Comments?

Call us at 1-800-562-0032, or write us at:
State Street Research
Shareholder Services
P.O. Box 8408
Boston, MA 02266-8408
[State Street Research logo]

This report is prepared for the general information of current shareholders 
only. It is not authorized for use as sales material with prospective
investors.

CONTROL NUMBER:2788-951122(1296)SSR-LDCover
Illustration by Dorothy Cullinan MM-270D-1195



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