DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND INC
N-30D, 1995-06-01
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LETTER TO SHAREHOLDERS
Dear Shareholder:
    We are pleased to provide you with this semi-annual report for the
Dreyfus Connecticut Municipal Money Market Fund, Inc. For the six-month
period ended March 31, 1995, the annualized yield provided by your Fund was
3.27%, and the annualized effective yield was 3.32% after taking into account
the effect of compounding.* Income dividends of approximately $.016 per share
paid during the period were exempt from Federal and State of Connecticut
personal income taxes.**
    Our last letter recapped the series of Federal Reserve Board moves
throughout the first half of 1994--moves designed to reach a more neutral
monetary policy stance in response to continued economic expansion. By
November 15, total monetary policy actions taken in 1994 increased the
discount rate from 3.00% to 4.75%. In addition, the Federal Funds rate moved
from 3.00% to 5.50% between February and November of last year. On February 1
of this year, the Fed continued its policy as it raised both the Federal
Funds and discount rates an additional 50 basis points to 6.00% and 5.25%,
respectively. Yields on municipal money market funds increased in response to
these higher short-term rates.
    One of the most significant events occurring in the second half of last
year to affect the short-term municipal market was the bankruptcy filing by
Orange County, California. Because your Fund holds only paper exempt from
Connecticut taxes, it had no exposure to Orange County, California. However,
the uncertainty which existed at the time of the County's disclosure created
some temporary market weakness. While there were several attractive buying
opportunities in the national market at the time, scarcity of Connecticut
short-term notes limited our ability to participate.
    In the coming weeks we expect to see some temporary weakness in the
short-term municipal market. In late April, tax-exempt money market funds
typically experience an outflow of assets as investors redeem shares to meet
tax payment needs. As these redemptions occur, the decreased demand for
short-term securities places temporary upward pressure on yields. Your Fund
does not typically experience these outflows, allowing us to capitalize on
such periods of market weakness. At all times, we will selectively seek out
high quality Connecticut issues that provide the portfolio with a high level
of diversity and liquidity and double tax-free income.
    We have included a current Statement of Investments and recent financial
statements for your review and look forward to serving your investment needs
in the future.
                              Very truly yours,
                              (Richard J. Moynihan Signature Logo)
                              Richard J. Moynihan
                              Director, Municipal Portfolio Management
                              The Dreyfus Corporation
April 13, 1995
New York, N.Y.
    *Annualized effective yield is based upon dividends declared daily and
    reinvested monthly.
    **    Some income may be subject to the Federal Alternative Minimum Tax
    (AMT) for certain shareholders.
<TABLE>
<CAPTION>
DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
STATEMENT OF INVESTMENTS                                                                                MARCH 31, 1995 (UNAUDITED)
                                                                                              PRINCIPAL
TAX EXEMPT INVESTMENTS-100.0%                                                                   AMOUNT                   VALUE
                                                                                           --------------           --------------
<S>                                                                                     <C>                      <C>
CONNECTICUT--87.5%
Town of Bethel, BAN 3.72%, 7/13/95..........................................            $    5,340,000           $       5,340,287
Town of Cheshire, BAN 4.25%, 8/10/95........................................                 5,000,000                   5,005,699
State of Connecticut:
    Economic Recovery Notes, VRDN 4.10%, Series B
      (SBPA: Canadian Imperial Bank of Commerce, Industrial Bank of Japan and
      National Westminster Bank) (a)........................................                12,000,000                  12,000,000
    Special Tax Obligation Revenue, VRDN (Transportation Infrastructure-1)
      4.35% (LOC; Industrial Bank of Japan) (a,b)...........................                12,250,000                  12,250,000
Connecticut Development Authority, VRDN:
    Health Care Revenue (Corp. for Independent Living Project)
      4.05% (LOC; Credit Commerciale de France) (a,b).......................                22,845,000                  22,845,000
    Industrial Development (Martin-Brower Co. Project)
      3.75% (LOC; Chemical Bank) (a,b)......................................                 1,130,000                   1,130,000
    PCR, Refunding:
      (Connecticut Light and Power Co. Project):
          4.10%, Series A (LOC; Deutshe Bank) (a,b).........................                15,000,000                  15,000,000
          4.25%, Series B (LOC; Union Bank of Switzerland) (a,b)............                13,000,000                  13,000,000
      (Western Massachusetts Electric Co.)
          4.05%, Series A (LOC; Union Bank of Switzerland) (a,b)............                11,800,000                  11,800,000
    Solid Waste Revenue:
      (Exeter Energy Project) 4.15%, Series A (LOC; Sanwa Bank) (a,b).......                 8,600,000                   8,600,000
      (Rand/Whitney Project) 3.90% (LOC; Chase Manhattan Bank) (a,b)........                 8,500,000                   8,500,000
Connecticut Health and Educational Facilities Authority, Revenue, VRDN:
    (Charlotte Hungerford Hospital) 4.30%, Series B (LOC; Mitsubishi Bank) (a,b)               800,000                     800,000
    (Kent School) 3.80%, Series A (LOC; Barclays Bank) (a,b)................                 6,400,000                   6,400,000
Connecticut Housing Finance Authority (Housing Mortgage Finance Program):
    CP 4.30%, Series D, 5/8/95..............................................                 3,445,000                   3,445,000
    Revenue:
      3.55%, Series G, Subseries G-1, 5/15/95 (Escrowed In; U.S. Securities)                 3,200,000                   3,200,000
      3.65%, Series D, Subseries D-2, 5/15/95 (Escrowed In; U.S. Securities)                 1,600,000                   1,600,000
      4.40%, Series H-2, 9/1/95.............................................                 5,000,000                   5,000,000
      4.40%, Series E, 11/15/95.............................................                 3,000,000                   3,000,000
      4.50%, Subseries E-2, 11/15/95........................................                 3,000,000                   3,000,000
Connecticut Municipal Electric Energy Coop, Power Supply System Revenue, CP
    3.75%, Series A, 5/11/95................................................                 8,000,000                   8,000,000
Connecticut Special Assessment Unemployment Compensation Advance Fund,
Revenue
    (Connecticut Unemployment):
      3.80%, Series C, 7/1/95 (Insured and Liquidy; FGIC)...................                 7,000,000                   7,000,000
    VRDN 4.20%, Series B (LOC; Mitsubishi Bank) (a,b).......................                21,000,000                  21,000,000
Town of East Lyme, BAN 4.25%, 8/3/95........................................                 3,000,000                   3,003,228
Town of Fairfield, BAN 5.25%, 1/16/96.......................................                10,155,000                  10,182,230
Hartford Redevelopment Agency, MFMR, Refunding, VRDN (Underwood Tower
Project)
    4.30% (Insured; FSA and Liquidity; Barclays Bank) (a)...................                12,000,000                  12,000,000

DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
STATEMENT OF INVESTMENTS (CONTINUED)                                                                    MARCH 31 1995 (UNAUDITED)
                                                                                               PRINCIPAL
TAX EXEMPT INVESTMENTS (CONTINUED)                                                               AMOUNT                 VALUE
                                                                                           --------------           --------------
CONNECTICUT (CONTINUED)
Stamford Housing Authority, Revenue, VRDN (Morgan Street Project)
    4.15% (LOC; Deutsche Bank) (a,b)........................................            $    7,500,000  $                7,500,000
Town of Watertown, BAN 4.50%, 8/1/95........................................                 3,355,000                   3,359,995
Town of Wethersfield, BAN 3.93%, 8/31/95....................................                 3,250,000                   3,250,379
U.S. RELATED--12.5%
Commonwealth of Puerto Rico:
    Government Development Bank:
      CP 3.90%, 4/6/95......................................................                12,000,000                  12,000,000
      Refunding, VRDN 4.10% (LOC; Credit Suisse) (a,b)......................                 8,000,000                   8,000,000
    Highway Revenue, VRDN 3.60%, Series X (LOC; Credit Suisse) (a,b)........                 8,000,000                   8,000,000
Puerto Rico Municipal Finance Agency, Notes 4.75%, 7/1/95...................                 3,050,000                   3,055,509
                                                                                                                    --------------
TOTAL INVESTMENTS (cost $248,267,327).......................................                                          $248,267,327
                                                                                                                  ===============-
</TABLE>
<TABLE>
<CAPTION>
SUMMARY OF ABBREVIATIONS
<S>           <C>                                                <S>     <C>
BAN           Bond Anticipation Notes                            MFMR    Multi-Family Mortgage Revenue
CP            Commercial Paper                                   PCR     Pollution Control Revenue
FGIC          Financial Guaranty Insurance Company               SBPA    Standby Bond Purchase Agreement
FSA           Financial Security Assurance                       VRDN    Variable Rate Demand Notes
LOC           Letter of Credit
</TABLE>
<TABLE>
<CAPTION>
SUMMARY OF COMBINED RATINGS
FITCH (C)              OR          MOODY'S             OR         STANDARD & POOR'S                  PERCENTAGE OF VALUE
- ---------                          ---------                      --------------------           -----------------------
<S>                                <C>                            <C>                                    <C>
F1+/F1                             VMIG1/MIG1, P1 (d)             SP1+/SP1, A1+/A1 (d)                   87.9%
Not Rated (e)                      Not Rated (e)                  Not Rated (e)                           12.1
                                                                                                      --------
                                                                                                        100.0%
                                                                                                     =========
</TABLE>
NOTES TO STATEMENT OF INVESTMENTS:
    (a)  Securities payable on demand. The interest rate, which is subject to
    change, is based upon bank prime rates or an index  of market interest
    rates.
    (b)  Secured by letters of credit. At March 31, 1995, 55.9% of the Fund's
    net assets are backed by letters of credit issued by domestic banks and
    foreign banks.
    (c)  Fitch currently provides creditworthiness information for a limited
    number of investments.
    (d)  P1 and A1 are the highest ratings assigned tax-exempt commercial
    paper by Moody's and Standard & Poor's, respectively.
    (e)  Securities which, while not rated by Fitch, Moody's or Standard &
    Poor's, have been determined by the Fund's Board of  Directors to be of
    comparable quality to those rated securities in which the Fund may
    invest.

See independent accountants' review report and notes to financial statements.
<TABLE>
<CAPTION>
DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
STATEMENT OF ASSETS AND LIABILITIES                                                                     MARCH 31, 1995 (UNAUDITED)
<S>                                                                                                  <C>              <C>
ASSETS:
    Investments in securities, at value-Note 1(a)...........................                                          $248,267,327
    Cash....................................................................                                             9,242,000
    Interest receivable.....................................................                                             1,692,159
    Prepaid expenses........................................................                                                29,927
                                                                                                                    --------------
                                                                                                                       259,231,413
LIABILITIES:
    Due to The Dreyfus Corporation..........................................                         $55,092
    Accrued expenses and other liabilities..................................                          72,825               127,917
                                                                                                    --------        --------------
NET ASSETS  ................................................................                                          $259,103,496
                                                                                                                    ==============
REPRESENTED BY:
    Paid-in capital.........................................................                                          $259,182,053
    Accumulated net realized (loss) on investments..........................                                              (78,557)
                                                                                                                    --------------
NET ASSETS at value applicable to 259,182,053 outstanding shares of
    Common Stock, equivalent to $1.00 per share (1 billion shares of $.001 par
    value authorized).......................................................                                          $259,103,496
                                                                                                                    ==============

See independent accountants' review report and notes to financial statements.
</TABLE>
<TABLE>
<CAPTION>
DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
STATEMENT OF OPERATIONS                                                                SIX MONTHS ENDED MARCH 31, 1995 (UNAUDITED)
<S>                                                                                                  <C>                <C>
INVESTMENT INCOME:
    INTEREST INCOME.........................................................                                            $4,678,405
    EXPENSES:
      Management fee-Note 2(a)..............................................                         $639,336
      Shareholder servicing costs-Note 2(b).................................                          113,046
      Professional fees.....................................................                           20,017
      Custodian fees........................................................                           14,779
      Registration fees.....................................................                            9,242
      Prospectus and shareholders' reports..................................                            4,616
      Directors' fees and expenses-Note 2(c)................................                            3,485
      Miscellaneous.........................................................                           10,454
                                                                                                   ----------
                                                                                                      814,975
      Less--reduction in management fee due to
          undertakings-Note 2(a)............................................                          326,605
                                                                                                   ----------
            TOTAL EXPENSES..................................................                                               488,370
                                                                                                                      ------------
INVESTMENT INCOME-NET.......................................................                                             4,190,035
NET REALIZED (LOSS) ON INVESTMENTS-Note 1(b)................................                                              (33,921)
                                                                                                                      ------------
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS........................                                            $4,156,114
                                                                                                                      ============

See independent accountants' review report and notes to financial statements.
</TABLE>
<TABLE>
<CAPTION>
DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
STATEMENT OF CHANGES IN NET ASSETS
                                                                                           YEAR ENDED        SIX MONTHS ENDED
                                                                                           SEPTEMBER 30,       MARCH 31, 1995
                                                                                              1994              (UNAUDITED)
                                                                                          ------------      -------------------
<S>                                                                                     <C>                   <C>
OPERATIONS:
    Investment income-net..................................................             $    5,764,097        $     4,190,035
    Net realized gain (loss) on investments................................                      7,629               (33,921)
    Net unrealized (depreciation) on investments for the period............                     (1,990)                   ---
                                                                                         --------------        --------------
      NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS.................                  5,769,736              4,156,114
                                                                                         --------------        --------------
DIVIDENDS TO SHAREHOLDERS FROM;
    Investment income-net..................................................                 (5,764,097)           (4,190,035)
                                                                                         --------------        --------------
CAPITAL STOCK TRANSACTIONS ($1.00 per share):
    Net proceeds from shares sold..........................................                434,878,232            204,165,433
    Dividends reinvested...................................................                  5,433,237              3,983,183
    Cost of shares redeemed................................................               (410,537,781)          (191,078,443)
                                                                                         --------------        --------------
      INCREASE IN NET ASSETS FROM CAPITAL STOCK TRANSACTIONS...............                 29,773,688             17,070,173
                                                                                         --------------        --------------
          TOTAL INCREASE IN NET ASSETS.....................................                 29,779,327             17,036,252
NET ASSETS:
    Beginning of period....................................................                212,287,917            242,067,244
                                                                                         --------------        --------------
    End of period..........................................................               $242,067,244           $259,103,496
                                                                                         ==============        ==============

See independent accountants' review report and notes to financial statements.
</TABLE>
<TABLE>
<CAPTION>
DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
FINANCIAL HIGHLIGHTS
      Contained below is per share operating performance data for a share of
Common Stock outstanding, total investment return, ratios to average net
assets and other supplemental data for each period indicated. This
information has been derived from the Fund's financial statements.
                                                                                                             SIX MONTHS ENDED
                                                                  YEAR ENDED SEPTEMBER 30,                   MARCH 31, 1995
                                                  ----------------------------------------------------
PER SHARE DATA:                                    1990(1)       1991        1992       1993      1994          (UNAUDITED)
                                                  --------     --------    --------   --------  ---------      ------------
<S>                                             <C>            <C>         <C>        <C>       <C>                <C>
    Net asset value, beginning of period        $1.0000        $1.0000     $1.0000    $1.0002   $  .9998           $  .9998
                                               --------        --------    --------   --------  ---------          --------
    INVESTMENT OPERATIONS:
    Investment income--net..............        .0131         .0470          .0323    .0230       .0230              .0163
    Net realized and unrealized gain (loss)
      on investments....................          .-           .--           .0002   (.0004)       .-              (.0001)
                                                --------      --------     --------   --------  ---------         --------
      TOTAL FROM INVESTMENT OPERATIONS..        .0131         .0470          .0325    .0226       .0230              .0162
                                                --------      --------      -------  --------    ---------        --------
    DISTRIBUTIONS:
    Dividends from investment income--net      (.0131)       (.0470)        (.0323)  (.0228)     (.0230)           (.0163)
    Dividends from net realized gain on
      investments.......................        .-            .-               -     (.0002).         -                 .-
                                              --------       --------       --------    --------   ---------       --------
      TOTAL DISTRIBUTIONS...............      (.0131)         (.0470)       (.0323)     (.0230)    (.0230)          (.0163)
                                              --------        --------      --------     --------   ---------      --------
    Net asset value, end of period......     $1.0000          $1.0000      $1.0002       $  .9998  $  .9998        $  .9997
                                             ========        =========    =========      =========   ==========-   =========
TOTAL INVESTMENT RETURN.................     5.95%(2)          4.80%        3.28%           2.34%      2.33%          3.29%(2)
RATIOS/SUPPLEMENTAL DATA:
    Ratio of expenses to average net assets    .-               .-          .04%             .12%       .22%           .38%(2)
    Ratio of net investment income to
      average net assets................     5.97%(2)          4.54%        3.22%           2.30%      2.30%          3.28%(2)
    Decrease reflected in above
    expense ratios
      due to undertakings by the Manager     1.66%(2)           .67%         .63%            .55%       .42%           .26%(2)
    Net Assets, end of period (000's Omitted) $52,971         $187,301    $206,980       $212,288   $242,067          $259,103
(1)    From July 12, 1990 (commencement of operations) to September 30, 1990.
(2)    Annualized.
</TABLE>
See independent accountants' review report and notes to financial statements.

DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
NOTE 1-SIGNIFICANT ACCOUNTING POLICIES:
    The Fund is registered under the Investment Company Act of 1940 ("Act")
as a non-diversified open-end management investment company. Premier Mutual
Fund Services, Inc. (the "Distributor") acts as the exclusive distributor of
the Fund's shares, which are sold to the public without a sales charge. The
Distributor, located at One Exchange Place, Boston, Massachusetts 02109, is a
wholly-owned subsidiary of Institutional Administration Services, Inc., a
provider of mutual fund administration services, the parent company of which
is Boston Institutional Group, Inc. The Dreyfus Corporation ("Manager")
serves as the Fund's investment adviser. The Manager is a direct subsidiary
of Mellon Bank, N.A.
    It is the Fund's policy to maintain a continuous net asset value per
share of $1.00; the Fund has adopted certain investment, portfolio valuation
and dividend and distribution policies to enable it to do so. There is no
assurance, however, that the Fund will be able to maintain a stable net asset
value of $1.00.
    (A) PORTFOLIO VALUATION: Investments are valued at amortized cost, which
has been determined by the Fund's Board of Directors to represent the fair
value of the Fund's investments.
    (B) SECURITIES TRANSACTIONS AND INVESTMENT INCOME: Securities
transactions are recorded on a trade date basis. Interest income, adjusted
for amortization of premiums and original issue discounts on investments, is
earned from settlement date and recognized on the accrual basis. Realized
gain and loss from securities transactions are recorded on the identified
cost basis.
    The Fund follows an investment policy of investing primarily in municipal
obligations of one state. Economic changes affecting the state and certain of
its public bodies and municipalities may affect the ability of issuers within
the state to pay interest on, or repay principal of, municipal obligations
held by the Fund.
    (C) DIVIDENDS TO SHAREHOLDERS: It is the policy of the Fund to declare
dividends daily from investment income-net. Such dividends are paid monthly.
Dividends from net realized capital gain are normally declared and paid
annually, but the Fund may make distributions on a more frequent basis to
comply with the distribution requirements of the Internal Revenue Code. To
the extent that net realized capital gain can be offset by capital loss
carryovers, it is the policy of the Fund not to distribute such gain.
    (D) FEDERAL INCOME TAXES: It is the policy of the Fund to continue to
qualify as a regulated investment company, which can distribute tax exempt
dividends, by complying with the applicable provisions of the Internal
Revenue Code, and to make distributions of income and net realized capital
gain sufficient to relieve it from substantially all Federal income and
excise taxes.
    The Fund has an unused capital loss carryover of approximately $34,300
available for Federal income tax purposes to be applied against future net
securities profits, if any, realized subsequent to September 30, 1994. The
carryover does not include net realized securities losses from November 1,
1993 through September 30, 1994 which are treated, for Federal income tax
purposes, as arising in fiscal 1995. If not applied, the carryover expires in
fiscal 2002.
    At March 31, 1995, the cost of investments for Federal income tax
purposes was substantially the same as the cost for financial reporting
purposes (see the Statement of Investments).


DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)
NOTE 2-MANAGEMENT FEE AND OTHER TRANSACTIONS WITH AFFILIATES:
    (A) Pursuant to a management agreement ("Agreement") with the Manager,
the management fee is computed at the annual rate of .50 of 1% of the average
daily value of the Fund's net assets and is payable monthly. The Agreement
provides for an expense reimbursement from the Manager should the Fund's
aggregate expenses, exclusive of taxes, interest on borrowings, brokerage and
extraordinary expenses, exceed the expense limitation of any state having
jurisdiction over the Fund for any full fiscal year. However, the Manager had
undertaken from October 1, 1994 through October 17, 1995, to reduce the
management fee paid by the Fund, to the extent that the Fund's aggregate
expenses (excluding certain expenses as described above) exceeded specified
annual percentages of the Fund's average daily net assets and thereafter, had
undertaken through March 31, 1995 to waive receipt of the management fee
payable to it by the Fund in excess of an annual rate of .25 of 1% of the
Fund's average daily net assets. The reduction in management fee, pursuant to
the undertaking, amounted to $326,605 for the six months ended March 31,
1995.
    The Manager has currently undertaken through June 30, 1995 or until such
time as the net assets of the Fund exceed $325 million, regardless of whether
they remain at that level, to waive receipt of the management fee payable to
it by the Fund in excess of an annual rate of .35 of 1% of the average daily
value of the Fund's net assets.
    (B) Pursuant to the Fund's Shareholder Services Plan, the Fund reimburses
Dreyfus Service Corporation an amount not to exceed an annual rate of .25 of
1% of the value of the Fund's average daily net assets for servicing
shareholder accounts. The services provided may include personal services
relating to shareholder accounts, such as answering shareholder inquiries
regarding the Fund and providing reports and other information, and services
related to the maintenance of shareholder accounts. During the six months
ended March 31, 1995, the Fund was charged an aggregate of $65,145 pursuant
to the Shareholder Services Plan.
    (C) Each director who is not an "affiliated person" as defined in the Act
receives from the Fund an annual fee of $1,000. The Chairman of the Board
receives an additional 25% of such compensation.


DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
REVIEW REPORT OF ERNST & YOUNG LLP, INDEPENDENT ACCOUNTANTS
SHAREHOLDERS AND BOARD OF DIRECTORS
DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.
    We have reviewed the accompanying statement of assets and liabilities of
Dreyfus Connecticut Municipal Money Market Fund, Inc., including the
statement of investments, as of March 31, 1995, and the related statements of
operations and changes in net assets and financial highlights for the six
month period ended March 31, 1995. These financial statements and financial
highlights are the responsibility of the Fund's management.
    We conducted our review in accordance with standards established by the
American Institute of Certified Public Accountants. A review of interim
financial information consists principally of applying analytical procedures
to financial data, and making inquiries of persons responsible for financial
and accounting matters. It is substantially less in scope than an audit
conducted in accordance with generally accepted auditing standards, which
will be performed for the full year with the objective of expressing an
opinion regarding the financial statements and financial highlights taken as
a whole. Accordingly, we do not express such an opinion.
    Based on our review, we are not aware of any material modifications that
should be made to the interim financial statements and financial highlights
referred to above for them to be in conformity with generally accepted
accounting principles.
    We have previously audited, in accordance with generally accepted
auditing standards, the statement of changes in net assets for the year ended
September 30, 1994 and financial highlights for the five years in the period
ended September 30, 1994 and in our report dated November 7, 1994, we
expressed an unqualified opinion on such statement of changes in net assets
and financial highlights.

                                  (Ernst and Young Signature Logo)

New York, New York
May 1, 1995


           (Dreyfus lion logo)

DREYFUS CONNECTICUT MUNICIPAL
MONEY MARKET FUND, INC.
200 Park Avenue
New York, NY 10166
MANAGER
The Dreyfus Corporation
200 Park Avenue
New York, NY 10166
CUSTODIAN
The Bank of New York
90 Washington Street
New York, NY 10286
TRANSFER AGENT &
DIVIDEND DISBURSING AGENT
The Shareholder Services Group, Inc.
P.O. Box 9671
Providence, RI 02940




Further information is contained
in the Prospectus, which must
precede or accompany this report.




Printed in U.S.A.                            101SA953


                (DREYFUS WORD LOGO)
Connecticut
Municipal
Money Market
Fund, Inc.
Semi-Annual Report
March 31, 1995



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