DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND INC
N-30D, 2000-11-28
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Dreyfus

Connecticut

Municipal Money Market Fund, Inc.

ANNUAL REPORT September 30, 2000

(reg.tm)





The  views  expressed herein are current to the date of this report. These views
and  the  composition  of the fund's portfolio are subject to change at any time
based on market and other conditions.

           * Not FDIC-Insured * Not Bank-Guaranteed * May Lose Value


                                 Contents

                                 THE FUND
--------------------------------------------------

                             2   Letter from the President

                             3   Discussion of Fund Performance

                             6   Statement of Investments

                            11   Statement of Assets and Liabilities

                            12   Statement of Operations

                            13   Statement of Changes in Net Assets

                            14   Financial Highlights

                            15   Notes to Financial Statements

                            18   Report of Independent Auditors

                            19   Important Tax Information

                                 FOR MORE INFORMATION
---------------------------------------------------------------------------

                                 Back Cover

                                                                       The Fund

                                                            Dreyfus Connecticut

                                              Municipal Money Market Fund, Inc.

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased to present this annual report for Dreyfus Connecticut Municipal
Money  Market  Fund,  Inc.,  covering  the  12-month period from October 1, 1999
through  September  30, 2000. Inside, you'll find valuable information about how
the  fund  was  managed during the reporting period, including a discussion with
the fund's portfolio manager, Joseph Irace.

Yields  on  tax-exempt money market instruments rose in general over the past 12
months because of supply-and-demand influences that are unique to the tax-exempt
markets.  However, yields of tax-exempt money market instruments did not rise as
much  as their taxable counterparts. Amid signs that its previous rate hikes had
begun  to  slow  the  economy,  the Federal Reserve Board refrained from raising
rates  further  at its meetings in June and August. Other factors such as higher
energy prices and a weak euro also served to slow economic growth.

In general, the overall investment environment that prevailed in the second half
of  the  1990s  had provided returns well above long-term averages, establishing
unrealistic expectations for some investors. In our opinion, as the risks of the
stock  market have become more apparent due to recent volatility, the safety and
tax-free  income  potential  of  tax-exempt  money market funds can make them an
attractive investment as part of a well-balanced portfolio.

For  more  information about the economy and financial markets, we encourage you
to visit the Market Commentary section of our website at www.dreyfus.com. Or, to
speak with a Dreyfus customer service representative, call us at 1-800-782-6620

Thank you for investing in Dreyfus Connecticut Municipal Money Market Fund, Inc

Sincerely,

/s/Stephen E. Canter
Stephen E. Canter

President and Chief Investment Officer

The Dreyfus Corporation

October 16, 2000




DISCUSSION OF FUND PERFORMANCE

Joseph Irace, Portfolio Manager

How did Dreyfus Connecticut Municipal Money Market Fund, Inc. perform during the
period?

For  the  12-month  period  ended  September  30,  2000,  the  fund  produced an
annualized  tax-exempt  yield  of  3.13% . Taking  into  account  the effects of
compounding,  the  fund  provided  an  annualized  effective  yield of 3.17%.(1

What is the fund's investment approach?

The  fund  seeks  high  current  federal and Connecticut tax-exempt income while
looking  to  maintain a stable $1.00 share price. We are vigilant in our efforts
to    preserve    capital.

In  pursuing  the  fund's investment approach, we employ two primary strategies.
First,  we  attempt  to  add  value  by constructing a diverse portfolio of high
quality,   tax-exempt  money  market  instruments  from  Connecticut  tax-exempt
issuers.  Second,  we  actively  manage  the  portfolio' s  average  maturity in
anticipation  of  what we believe are interest-rate trends and supply-and-demand
changes in Connecticut's short-term municipal marketplace.

For  example, if we expect an increase in short-term supply, we may decrease the
average  maturity  of the fund, which would enable us to purchase new securities
with  then  current higher yields. Yields tend to rise when there is an increase
in  new-issue  supply  competing for investor interest. New securities which are
generally  issued  with maturities in the one-year range may lengthen the fund's
average  maturity.  If we anticipate limited new-issue supply, we may extend the
fund' s average maturity to maintain current yields for as long as practical. At
other  times,  we  try to maintain an average maturity that reflects our view of
short-term interest-rate trends and future supply-and-demand considerations.

                                                             The Fund


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

What other factors influenced the fund's performance?

The  fund was positively influenced over the past year by rising interest rates.
When  the  reporting period began on October 1, 1999, the U.S. economy continued
to  grow  strongly,  raising  concerns  that long-dormant inflationary pressures
might  reemerge.  In  response,  the  Federal  Reserve  Board (the "Fed") raised
short-term interest rates at its November, February, March and May meetings, for
a  total  of  1.25  percentage points. However, tax-exempt yields later declined
modestly  when the Fed did not change interest rates at subsequent meetings. The
Fed  held  monetary  policy steady because of signs that its previous rate hikes
were  having  the  desired  effect of slowing the economy. Fewer housing starts,
moderating  growth and little change in the core inflation rate may suggest that
the Fed's rate hikes could be at or near an end.

Despite  slower  growth, the continuing strength of the U.S. economy helped keep
tax-exempt  money  market yields relatively low compared to taxable money market
instruments.  Connecticut  and  its  municipalities enjoyed higher tax revenues,
curtailing  the  need  to borrow and resulting in a reduced supply of securities
compared  to  the  same  period  one  year earlier. At the same time, demand for
tax-exempt  money  market instruments has been strong from Connecticut residents
seeking  to protect their wealth from stock market volatility. When demand rises
and  supply  falls,  prices  of  existing  fixed-income  securities tend to move
higher.

In  this  environment,  we  generally  maintained  a LADDERED portfolio in which
maturities  are  staggered.  This  allows  us  to  balance  the need to maintain
prevailing yields if rates decline with the opportunity to capture higher yields
if  rates  rise.  In addition, we generally maintained a longer average maturity
than  our  peer group. This position helped us maintain the fund's income stream
when  yields  declined modestly toward the end of the reporting period. Finally,
we  reduced  the  percentage  of assets invested in fixed-rate commercial paper,
preferring  instead  to  increase  our  holdings  of  variable rate demand notes
(VRDNs) which feature floating rates that are reset weekly.


What is the fund's current strategy?

In  our  view,  yields  may  decline  further  if  the current economic slowdown
continues.  Accordingly,  we  have  maintained  the fund's average maturity at a
point  that  is longer than the average for our peer group. In addition, we have
focused  on  purchasing  smaller  blocks  of  insured  securities because of the
combination  of  competitive  yields  and  safety  they  can provide. Of course,
portfolio composition, strategy and markets can change at any time.

October 16, 2000

(1)  ANNUALIZED EFFECTIVE YIELD IS BASED UPON DIVIDENDS DECLARED DAILY AND
REINVESTED MONTHLY. PAST PERFORMANCE IS NO GUARANTEE OF FUTURE RESULTS. YIELDS
FLUCTUATE. INCOME MAY BE SUBJECT TO STATE AND LOCAL TAXES FOR NON-CONNECTICUT
RESIDENTS, AND SOME INCOME MAY BE SUBJECT TO THE FEDERAL ALTERNATIVE MINIMUM TAX
(AMT) FOR CERTAIN INVESTORS. AN INVESTMENT IN THE FUND IS NOT INSURED OR
GUARANTEED BY THE FDIC OR THE U.S. GOVERNMENT. ALTHOUGH THE FUND SEEKS TO
PRESERVE THE VALUE OF YOUR INVESTMENT AT $1.00 PER SHARE, IT IS POSSIBLE TO LOSE
MONEY BY INVESTING IN THE FUND.

                                                             The Fund
<TABLE>
<CAPTION>

STATEMENT OF INVESTMENTS

September 30, 2000

STATEMENT OF INVESTMENTS

                                                                                              Principal

TAX EXEMPT INVESTMENTS--94.9%                                                                Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

CONNECTICUT--94.3%

Ansonia, GO Notes:

<S>                                                                                             <C>                      <C>
   4.25%, 10/15/2000 (Insured; FGIC)                                                            100,000                  100,002

   4.80%, 10/15/2000 (Insured; FGIC)                                                            300,000                  300,066

Brookfield, GO Notes 5.40%, 7/15/2001                                                           250,000                  252,089

Brooklyn, GO Notes 6.70%, 8/15/2001 (Insured; FSA)                                              105,000                  107,126

Clinton, GO Notes 7.25%, 6/15/2001 (Insured; MBIA)                                              175,000                  178,523

State of Connecticut:

  GO Notes:

      5.50%, Series B, 10/1/2000                                                                700,000                  700,000

      4%, Series C, 10/15/2000                                                                1,775,000                1,775,040

      4%, Series B, 11/1/2000                                                                 6,850,000                6,850,440

      5.85%, Series C, 11/15/2000                                                               355,000                  355,000

      4.80%, Series B, 3/15/2001                                                                350,000                  350,620

      5%, Series A, 3/15/2001                                                                   100,000                  100,127

      4.15%, Series A, 4/15/2001                                                              2,950,000                2,946,192

      4.60%, Series A, 5/15/2001                                                                375,000                  375,222

      4%, Series A, 6/15/2001                                                                 4,000,000                3,991,198

      5%, Series B, 6/15/2001                                                                 2,350,000                2,360,578

   Prerefunded 5.85%, Series C, 11/15/2000

      (Escrowed in; U.S. Government Securities)                                                   5,000                    5,000

Connecticut Clean Water Fund:

   Revenues 5%, 3/1/2001                                                                        700,000                  702,133

   Sewer Revenue:

      6.60%, 1/1/2001                                                                         1,000,000                1,005,692

      5.50%, 2/1/2001                                                                           300,000                  301,212

Connecticut Development Authority, VRDN:

  Health Care Revenue

    (Corporation for Independent Living Project)

      5.40% (LOC; Chase Manhattan Bank)                                                       6,600,000  (a)           6,600,000

   IDR:

      Refunding (Capitol District Energy)

         5.40% (LOC; Fleet National Bank)                                                     3,900,000  (a)           3,900,000

      (Shw Inc. Project) 5.40% (LOC; Deutsche Bank)                                             200,000  (a)             200,000

   Industrial Revenue:

      (Conco Medical Co. Project)

         5.25% (LOC; Bayerische Veriensbank)                                                  1,700,000  (a)           1,700,000

      (Energy Network Sina Project)

         5.40% (LOC; Fleet National Bank)                                                     2,200,000  (a)           2,200,000

      (Lapham-Hickey Steel Corp.)

         5.55% (LOC; Harris Trust and Savings Bank)                                           1,500,000  (a)           1,500,000

   PCR (Connecticut Light and Power Co. Project)

         5.50%, Series A (Insured; AMBAC and Liquidity Facility;

         Societe Generale)                                                                    8,000,000  (a)           8,000,000


                                                                                              Principal

TAX EXEMPT INVESTMENTS (CONTINUED)                                                           Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

Connecticut Health and Educational Facilities Authority:

  Revenues

    CP (Yale University):

         3.95%, 11/9/2000 (Guaranteed by; Yale University)                                    7,500,000                7,500,000

         4%, 11/13/2000 (Guaranteed by; Yale University)                                      1,500,000                1,500,000

         4.10%, Series L, 12/7/2000 (Guaranteed by;

            Yale University)                                                                  3,000,000                3,000,000

         3.95%, 12/8/2000 (Guaranteed by; Yale University)                                    3,000,000                3,000,000

   VRDN:

      (Academy of Our Lady of Mercy) 4.20%, Series A

         (LOC; Allied Irish Banks)                                                            3,400,000  (a)           3,400,000

      (Charlotte Hungerford) 5.40%, Series C

         (LOC; Fleet National Bank)                                                           1,600,000  (a)           1,600,000

      (Community Renewal Team) 5.40%, Series A

         (LOC; Fleet National Bank)                                                           2,090,000  (a)           2,090,000

      (Covenant Retirement) 5.25%, Series A

         (LOC; Lasalle National Bank)                                                         3,400,000  (a)           3,400,000

      (Ethel Walker School Issue)

         5.25% (LOC; Allied Irish Banks)                                                      4,250,000  (a)           4,250,000

      (Gaylord Hospital Issue) 5.40%, Series A

         (LOC; Bank of Boston Corp.)                                                          6,420,000  (a)           6,420,000

      (Hartford Hospital) 5.40%, Series B

         (LOC; Fleet National Bank)                                                           3,175,000  (a)           3,175,000

      (Hotchkiss School) 5.20%, Series A

         (Liquidity Facility; Northern Trust Co.)                                             3,000,000  (a)           3,000,000

      (Marvelwood School Issue) 5.20%, Series A

         (LOC; First Union National Bank of North Carolina)                                   1,135,000  (a)           1,135,000

      (Taft School) 5.25%, Series E

         (LOC; First Union National Bank of North Carolina)                                   3,000,000  (a)           3,000,000

      (Yale University) 5.50%, Series T-1

         (Guaranteed by; Yale University)                                                     7,400,000  (a)           7,400,000

Connecticut Housing Finance Authority, Housing Revenue

  Housing Mortgage Finance Program:

      4.20%, Series E-2, 5/15/2001                                                              100,000                   99,581

      VRDN:

         4.40%, Series B-3 (Insured; AMBAC and LOC; FHLMC)                                    3,000,000  (a)           3,000,000

         4.75%, Series BB (Liquidity Facility; First Union

            National Bank of North Carolina)                                                  3,480,000  (a)           3,480,000

         5.30%, Series G (Insured; AMBAC and Liquidity Facility;

            Morgan Guaranty Trust Co.)                                                        1,800,000  (a)           1,800,000

         5.50%, Series D (LOC; FHLMC)                                                         9,269,000  (a)           9,269,000

Connecticut Special Assessment Second Injury Fund, CP

  4.15%, 1/17/2001 (LOC: Credit Agricole-Indosuez and

   Credit Commerciale de Belgique)                                                           17,900,000               17,900,000

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

                                                                                             Principal

TAX EXEMPT INVESTMENTS (CONTINUED)                                                          Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

Connecticut Special Assessment Unemployment Compensation

  Advance Fund, Revenue (Connecticut Unemployment):

    4.35%, Series C, 7/1/2001 (Insured; FGIC and Liquidity

         Facility; FGIC)                                                                      7,500,000                7,500,000

      Refunding:

         4.60%, Series A, 11/15/2000 (Insured; AMBAC)                                           100,000                   99,982

         5.50%, Series A, 11/15/2000 (Insured; AMBAC)                                         6,250,000                6,260,668

         5.50%, Series A, 5/15/2001 (Insured; AMBAC)                                            620,000                  624,514

Connecticut Special Tax Obligation, Revenues

  (Transportation Infrastructure):

      4.40%, Series B, 10/1/2000 (Insured; FGIC)                                                300,000                  300,000

      5.50%, Series B, 10/1/2000 (Insured; FGIC)                                                250,000                  250,000

      4.75%, Series A, 6/1/2001 (Insured; FGIC)                                                 100,000                  100,188

      Prerefunded 7.125%, Series A, 6/1/2001

         (Escrowed in; U.S. Government Securities)                                              535,000                  550,124

      Refunding:

         5.50%, Series C, 10/1/2000 (Insured; FGIC)                                             650,000                  650,000

         4%, Series B, 11/1/2000 (Insured; FSA)                                               1,350,000                1,349,983

      VRDN:

         5.35%, Series 1 (Insured; FGIC and Liquidity Facility;

            Dexia-Credit Locale de France)                                                    3,000,000  (a)           3,000,000

         5.40%, Series 1 (LOC; Commerzbank)                                                   3,000,000  (a)           3,000,000

Coventry, BAN 4.25%, 12/13/2000                                                                 500,000                  499,658

East Haven, BAN 4.25%, 12/14/2000                                                             5,800,000                5,803,939

East Lyme, BAN 4.40%, 7/19/2001                                                               4,700,000                4,704,217

Fairfield:

   GAN 5%, 6/15/2001                                                                            300,000                  300,916

   Sewer Assessment Revenue Notes 5%, 6/22/2001                                                 600,000                  601,867

Town of Groton, BAN 4.75%, 12/15/2000                                                         1,022,000                1,022,510

Guilford, GO Notes 5.375%, 1/15/2001 (Insured; MBIA)                                            300,000                  300,901

Hartford Redevelopment Agency, MFMR, Refunding

  (Underwood Tower Project) VRDN 5.40%

   (Insured; FSA and Liquidity Facility; Societe Generale)                                    3,000,000  (a)           3,000,000

Meriden, GO Notes 4.25%, 2/1/2001                                                               120,000                  120,000

New Britain:

  GO Notes:

      5%, Series A, 4/1/2001 (Insured; AMBAC)                                                   375,000                  376,446

      4.40%, 4/15/2001 (Insured; AMBAC)                                                         175,000                  175,097

   VRDN:

      5.20% (Insured; AMBAC and Liquidity Facility; Bank of

         Nova Scotia)                                                                         3,800,000  (a)           3,800,000

      5.35%, Series B (Insured; AMBAC and Liquidity Facility;

         Bank of Nova Scotia)                                                                 4,025,000  (a)           4,025,000


                                                                                              Principal

TAX EXEMPT INVESTMENTS (CONTINUED)                                                           Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------
New Fairfield, GO Notes 4.60%, 3/15/2001 (Insured; MBIA)                                        500,000                  500,874

New Haven, GO Notes 5.125%, 9/1/2001 (Insured; FGIC)                                            265,000                  266,932

New London, GO Notes 5%, 10/1/2000 (Insured; MBIA)                                              100,000                  100,000

Newington, GO Notes 6.70%, 4/1/2001                                                             400,000                  404,889

Regional School District No. 14 5.60%, 5/15/2001                                                250,000                  251,418

Ridgefield, GO Notes:

   5%, 11/15/2000                                                                               225,000                  225,228

   5.50%, 7/1/2001                                                                              200,000                  201,590

South Central Regional Water Authority, Water System

   Revenue 4.75%, Series 16, 8/1/2001 (Insured; AMBAC)                                          435,000                  436,566

Southeastern Water Authority, Water Revenue

   4.22%, 3/15/2001                                                                             748,000                  748,227

Stafford, BAN 4.50%, 8/2/2001                                                                 1,130,000                1,131,808

Windham, GO Notes 4.50%, 8/15/2001                                                              125,000                  125,157

Woodbridge, GO Notes 4.90%, 8/15/2001                                                           340,000                  341,721

U.S. RELATED--.6%

Commonwealth of Northern Mariana Islands, GO Notes

  (Public School System Project) 4%, Series A, 10/1/2000

   (Insured; FSA)                                                                             1,000,000                1,000,000

Puerto Rico Public Buildings Authority, Public Education

   and Health Facilities, LR 6%, Series L, 7/1/2001 (Insured; FGIC)                             100,000                  101,158

Virgin Islands Public Finance Authority, Revenues, Prerefunded

  7.30%, Series A, 10/1/2000

   (Escrowed in; U.S. Government Securities)                                                    205,000                  207,050
------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS (cost $190,726,379)                                                             94.9%              190,733,469

CASH AND RECEIVABLES (NET)                                                                         5.1%               10,158,637

NET ASSETS                                                                                       100.0%              200,892,106

                                                                                                     The Fund
</TABLE>

STATEMENT OF INVESTMENTS (CONTINUED)

Summary of Abbreviations

AMBAC                     American Municipal Bond
                             Assurance Corporation

BAN                       Bond Anticipation Notes

CP                        Commercial Paper

FGIC                      Financial Guaranty
                             Insurance Company

FHLMC                     Federal Home Loan
                             Mortgage Corporation

FSA                       Financial Security Assurance

GAN                       Grant Anticipation Notes

GO                        General Obligation

IDR                       Industrial Development Revenue

LOC                       Letter of Credit

LR                        Lease Revenue

MBIA                      Municipal Bond

                             Investors Assurance

                             Insurance Corporation

MFMR                      Multi-Family Mortgage Revenue

PCR                       Pollution Control Revenue

VRDN                      Variable Rate Demand Notes
<TABLE>
<CAPTION>

Summary of Combined Ratings (Unaudited)

Fitch                or          Moody's               or        Standard & Poor's                           Value (%)
------------------------------------------------------------------------------------------------------------------------------------

<S>                              <C>                            <C>                                               <C>
F1+/F1                           VMIG1/MIG1, P1                  SP1+/SP1, A1+/A1                                 73.3

AAA/AA (b)                       Aaa/Aa (b)                      AAA/AA (b)                                       25.1

Not Rated (c)                    Not Rated (c)                   Not Rated (c)                                     1.6

                                                                                                                 100.0

(A) SECURITIES PAYABLE ON DEMAND. VARIABLE INTEREST RATE--SUBJECT TO PERIODIC CHANGE.

(B) NOTES WHICH ARE NOT F, MIG OR SP RATED ARE REPRESENTED BY BOND RATINGS OF THE ISSUERS.

(C)  SECURITIES WHICH, WHILE NOT RATED BY FITCH, MOODY'S AND STANDARD & POOR'S
HAVE BEEN DETERMINED BY THE MANAGER TO BE OF COMPARABLE QUALITY TO THOSE RATED
SECURITIES IN WHICH THE FUND MAY INVEST.
</TABLE>

SEE NOTES TO FINANCIAL STATEMENTS.


STATEMENT OF ASSETS AND LIABILITIES

September 30, 2000

                                                             Cost         Value
--------------------------------------------------------------------------------

ASSETS ($):

Investments in securities--See Statement of
Investments                                           190,726,379   190,733,469

Cash                                                                  1,051,946

Receivable for investment securities sold                            10,604,692

Interest receivable                                                   1,628,920

Prepaid expenses                                                          3,223

                                                                    204,022,250
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                            77,900

Payable for investment securities purchased                           3,000,000

Accrued expenses                                                         52,244

                                                                      3,130,144
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      200,892,106
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     200,923,420

Accumulated net realized gain (loss) on investments                    (38,404)

Accumulated gross unrealized appreciation on investments                 7,090
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      200,892,106
--------------------------------------------------------------------------------

SHARES OUTSTANDING

(1 billion shares of $.001 par value Common Stock authorized)       200,923,420

NET ASSET VALUE, offering and redemption price per share ($)               1.00

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

STATEMENT OF OPERATIONS

Year Ended September 30, 2000

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                      7,342,737

EXPENSES:

Management fee--Note 2(a)                                              967,056

Shareholder servicing costs--Note 2(b)                                 223,256

Professional fees                                                       63,113

Custodian fees                                                          20,846

Prospectus and shareholders' reports                                    14,319

Registration fees                                                        8,602

Directors' fees and expenses--Note 2(c)                                  8,151

Miscellaneous                                                           10,679

TOTAL EXPENSES                                                       1,316,022

Less--reduction in management fee due to
   undertaking--Note 2(a)                                              (58,248)

NET EXPENSES                                                         1,257,774

INVESTMENT INCOME--NET                                               6,084,963
--------------------------------------------------------------------------------

REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS NOTE 1(B)($):

Net realized gain (loss) on investments                                   (593)

Net unrealized appreciation (depreciation) on investments                7,090

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS                   6,497

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                 6,091,460

SEE NOTES TO FINANCIAL STATEMENTS.


STATEMENT OF CHANGES IN NET ASSETS

                                                    Year Ended September 30,
                                             -----------------------------------

                                                     2000                1999
--------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                          6,084,963           4,499,125

Net realized gain (loss) on investments             (593)              (3,380)

Net unrealized appreciation (depreciation)
        on investments                              7,090                  --

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                   6,091,460            4,495,745
--------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

INVESTMENT INCOME--NET                        (6,084,963)          (4,499,125)
--------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

Net proceeds from shares sold                 329,833,123         257,745,468

Dividends reinvested                            5,837,772           4,336,552

Cost of shares redeemed                      (309,385,294)       (270,556,983)

INCREASE (DECREASE) IN NET ASSETS
   FROM CAPITAL STOCK TRANSACTIONS             26,285,601          (8,474,963)

TOTAL INCREASE (DECREASE) IN NET ASSETS        26,292,098          (8,478,343)
--------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           174,600,008          183,078,351

END OF PERIOD                                 200,892,106          174,600,008

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund
<TABLE>
<CAPTION>

FINANCIAL HIGHLIGHTS

The  following table describes the performance for the fiscal periods indicated.
Total return shows how much your investment in the fund would have increased (or
decreased)  during  each  period,  assuming you had reinvested all dividends and
distributions.  These  figures  have  been  derived  from  the  fund's financial
statements.

                                                                                         Year Ended September 30,
                                                                 -------------------------------------------------------------------

                                                                 2000           1999           1998           1997          1996
------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

<S>                                                              <C>            <C>            <C>            <C>           <C>
Net asset value, beginning of period                             1.00           1.00           1.00           1.00          1.00

Investment Operations:

Investment income--net                                           .031           .024           .029           .029          .029

Distributions:

Dividends from investment income--net                           (.031)         (.024)         (.029)         (.029)        (.029)

Net asset value, end of period                                   1.00           1.00           1.00           1.00          1.00
------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                                 3.19           2.44           2.89           2.93          2.94
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                           .65            .63            .65            .65           .63

Ratio of net investment income

   to average net assets                                         3.15           2.41           2.85           2.89          2.90

Decrease reflected in above
   expense ratios due to undertakings
   by The Dreyfus Corporation                                     .03            .12            .20            .04           .03
------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period ($ x 1,000)                         200,892        174,600        183,078        181,930       190,027

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>


NOTES TO FINANCIAL STATEMENTS

NOTE 1--Significant Accounting Policies

Dreyfus Connecticut Municipal Money Market Fund, Inc. (the "fund") is registered
under  the  Investment  Company  Act  of  1940,  as  amended  (the  "Act"), as a
non-diversified  open-end  management  investment company. The fund's investment
objective  is to provide investors with as high a level of current income exempt
from  Federal  and  Connecticut  state  income  taxes  as is consistent with the
preservation   of   capital  and  the  maintenance  of  liquidity.  The  Dreyfus
Corporation  ("Manager") serves as the fund's investment adviser. The Manager is
a  direct subsidiary of Mellon Bank, N.A., which is a wholly-owned subsidiary of
Mellon   Financial  Corporation.  Effective  March  22,  2000,  Dreyfus  Service
Corporation  (" DSC" ), a  wholly-owned  subsidiary  of  the Manager, became the
distributor  of  the fund's shares, which are sold to the public without a sales
charge.  Prior  to  March  22,  2000, Premier Mutual Fund Services, Inc. was the
distributor.

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 per share of
$1.00.

The  fund' s  financial  statements  are  prepared  in accordance with generally
accepted accounting principles which may require the use of management estimates
and assumptions. Actual results could differ from those estimates.

(a) Portfolio valuation: Investments in securities 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. Cost of investments
represents    amortized    cost.     The    Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

Under the terms of the custody agreement, the fund receives net earnings credits
based    on    available    cash    balances    left    on    deposit.

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, if any, 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 of 1986, as amended (the
" 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 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 $38,000 available
for  Federal  income  tax  purposes  to be applied against future net securities
profits,  if  any,  realized  subsequent  to  September 30, 2000. This amount is
calculated  based  on  Federal  income  tax  regulations  which  may differ from
financial reporting in accordance with generally accepted accounting principles.
If  not applied, $34,000 of the carryover expires in fiscal 2004, $1,000 expires
in fiscal 2007, and $3,000 expires in fiscal 2008.

At  September  30, 2000, 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).


NOTE 2--Management Fee and Other Transactions With Affiliates:

(a)  Pursuant  to a management agreement with the Manager, the management fee is
computed  at  the  annual  rate  of .50 of 1% of the value of the fund's average
daily net assets and is payable monthly. The Manager had undertaken from October
1,  1999  through to September 30, 2000 to reduce the management fee paid by the
fund,  to  the  extent  that  the fund's aggregate annual expenses, exclusive of
taxes,  brokerage  fees,  interest  on  borrowings  and  extraordinary expenses,
exceeded  an  annual  rate of .65 of 1% of the value of the fund's average daily
net  assets.  The  reduction  in  management  fee,  pursuant to the undertaking,
amounted to $58,248 during the period ended September 30, 2000.

(b)  Under  the Shareholder Services Plan, the fund reimburses DSC an amount not
to  exceed  an annual rate of .25 of 1% of the value of the fund's average daily
net  assets for certain allocated expenses of providing personal services and/or
maintaining  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 period
ended  September  30,  2000,  the  fund  was  charged  $149,403  pursuant to the
Shareholder Services Plan.

The  fund  compensates  Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities  to  perform transfer agency services for the fund. During the period
ended  September 30, 2000, the fund was charged $48,137 pursuant to the transfer
agency agreement.

(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.

                                                             The Fund

REPORT OF INDEPENDENT AUDITORS

Shareholders and Board of Directors

Dreyfus    Connecticut    Municipal    Money    Market    Fund,    Inc.

We  have audited the accompanying statement of assets and liabilities of Dreyfus
Connecticut  Municipal  Money  Market  Fund,  Inc.,  including  the statement of
investments,  as  of September 30, 2000, and the related statement of operations
for  the year then ended, the statement of changes in net assets for each of the
two  years  in  the  period then ended, and financial highlights for each of the
years indicated therein. These financial statements and financial highlights are
the responsibility of the fund's management. Our responsibility is to express an
opinion  on  these  financial  statements  and financial highlights based on our
audits.

We conducted our audits in accordance with auditing standards generally accepted
in the United States. Those standards require that we plan and perform the audit
to  obtain  reasonable  assurance  about  whether  the  financial statements and
financial  highlights  are  free  of  material  misstatement.  An audit includes
examining,  on  a test basis, evidence supporting the amounts and disclosures in
the  financial  statements  and  financial  highlights.  Our procedures included
confirmation of securities owned as of September 30, 2000 by correspondence with
the  custodian  and  brokers.  An  audit  also includes assessing the accounting
principles  used  and  significant  estimates  made  by  management,  as well as
evaluating  the  overall  financial  statement presentation. We believe that our
audits provide a reasonable basis for our opinion.

In  our  opinion,  the financial statements and financial highlights referred to
above  present  fairly,  in  all  material  respects,  the financial position of
Dreyfus Connecticut Municipal Money Market Fund, Inc. at September 30, 2000, the
results of its operations for the year then ended, the changes in its net assets
for each of the two years in the period then ended, and the financial highlights
for  each  of  the  indicated  years,  in  conformity with accounting principles
generally    accepted    in    the    United    States.

/s/Ernst & Young LLP

New York, New York

November 2, 2000



IMPORTANT TAX INFORMATION (Unaudited)

In accordance with Federal tax law, the fund hereby designates all the dividends
paid  from investment income-net during the fiscal year ended September 30, 2000
as  "exempt-interest  dividends"  (not  subject  to  regular  Federal  and,  for
individuals who are Connecticut residents, Connecticut personal income taxes).

                                                             The Fund

NOTES


                                                           For More Information

Dreyfus Connecticut Municipal Money Market Fund

  200 Park Avenue

  New York, NY 10166

Manager

  The Dreyfus Corporation

  200 Park Avenue

  New York, NY 10166

Custodian

  The Bank of New York

  100 Church Street

  New York, NY 10286

Transfer Agent & Dividend Disbursing Agent

  Dreyfus Transfer, Inc.

  P.O. Box 9671

  Providence, RI 02940

Distributor

  Dreyfus Service Corporation

  200 Park Avenue

  New York, NY 10166

To obtain information:

BY TELEPHONE Call 1-800-645-6561

BY MAIL  Write to:  The Dreyfus Family of Funds 144 Glenn Curtiss Boulevard
Uniondale, NY 11556-0144

BY E-MAIL  Send your request to [email protected]

ON THE INTERNET  Information can be viewed online or downloaded from:

http://www.dreyfus.com

(c) 2000 Dreyfus Service Corporation                                   101AR009






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