DREYFUS GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND
N-30D, 1997-02-07
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<PAGE>
Dreyfus
General New York
Municipal
Money Market Fund
Annual Report


November 30, 1996


<PAGE>
General New York Municipal Money Market Fund
- --------------------------------------------------------------------------------
Letter to Shareholders

Dear Shareholder:
      We are  pleased to provide  you with this  report on the  General New York
Municipal Money Market Fund. For its annual  reporting period ended November 30,
1996,  your Fund  produced an  annualized  yield of 2.79% for Class A shares and
2.51% for Class B shares.  Income dividends of approximately $.028 per share for
Class A shares  and $.025 per share  for  Class B shares  were paid  during  the
period.  Reinvesting  these  dividends and calculating the effect of compounding
resulted in an annualized  effective yield of 2.83% for Class A shares and 2.54%
for Class B shares.* These dividends were exempt from Federal, State of New York
and New York City personal income taxes,  although some income may be subject to
the Federal Alternative Minimum Tax (AMT) for certain shareholders.

ECONOMIC AND MARKET ENVIRONMENT
   The closing months of the period  continued to show the economy  downshifting
to lower gear although the stage may be set for acceleration early in 1997. Real
gross domestic  product (GDP) rose 2.2% in the third quarter of 1996,  down from
4.88% in the second, with forecasts calling for 2% growth in the fourth quarter.
October industrial  production fell 0.5%, more than expected,  while a sharp dip
in the length of the workweek in private  employment  and in orders  reported by
purchasers evinced waning economic  strength.  Housing indicators have also been
edging lower of late,  while retail  sales rose only  modestly in November.  The
good  news  for  investors   continued  with  November's  election  outcome,  as
reinforcement   of  the  status  quo   postponed   the  prospect  of  action  on
controversial  measures like taxes, the deficit,  and health care reform--action
that could spell market volatility. On the other hand, analysts point to growing
consumer  confidence,  hearty  income  gains  and a rebound  in auto  production
schedules, as factors that could jump-start the economy in 1997.
   Meanwhile,  inflation data suggested a continuation in the benign backdrop we
have seen for many months. The core Consumer Price Index (CPI) rose only 0.2% in
October,  while price  increases in producer  goods remained  virtually  absent.
Indeed,  the Federal  Reserve Board (the "Fed") took no action at its meeting in
November,  while its widely  watched beige book survey of Federal  Reserve banks
around the country  supported the view that monetary  policy could remain on its
present  course for now.  Although  the market  had not been  convinced  of this
optimistic  scenario in  September--expecting  an interest-rate  hike that never
came--most participants seemed to have adopted the positive inflation outlook by
the end of the period. The inflation picture still bears watching,  however,  as
some economists contend that the risk of inflation may increase with a pickup in
the economy.  Some suggest the Fed may choose to tighten rates slightly in early
1997 in anticipation of a stronger economy.
   In the money market nationwide,  rates appeared to have stabilized toward the
end  of  November.  Earlier  in  the  period,  however,  expectations  for a Fed
interest-rate  hike led to somewhat  higher  yields and a somewhat more volatile
rate environment.  Yields had been inching up since March, when the first robust
employment growth figures of 1996 were announced.
   On a state  level,  New York  leads the  nation in tax cuts,  having  reduced
personal income taxes for the year 1996 by $1.8  billion--more than the combined
cuts for the  remaining 49 states.  Additionally,  it is expected that the third
phase of the tax cut will  take  place  three  months  earlier  in 1997 than was
scheduled,  aided by the State's  current budget surplus of  approximately  $250
million.

PORTFOLIO OVERVIEW
   There are times in the municipal money market when the execution of portfolio
strategy is hindered to some degree by a lack of available  supply.  Oftentimes,
the attempt to extend a fund's  average  maturity  could be thwarted by a dearth

<PAGE>
of high quality,  short-term  investments.  These supply  conditions  can change
substantially and often during the course of one calendar year. One example of a
seasonal  period of  available  supply is during  the summer  months,  when many
issuers look to the  municipal  note market to meet their  short-term  financing
needs.  This year,  the  increased  supply  coincided  well with our  efforts to
increase  your  Fund's  average  maturity in  anticipation  of a decline in note
yields.  While  the  lack of New York  note  supply,  at  times,  postponed  our
strategy,  we were able to lock in some  attractive  rates in the  six-month  to
one-year  range.  This extension is designed to potentially  benefit your Fund's
performance  in early 1997 as yields on much  shorter  instruments  historically
have dropped  significantly in the first few weeks of the year. We will continue
to monitor  the market to adjust our  strategy to any  unexpected  changes as we
seek out high quality  issues that provide an appropriate  balance  between both
income and liquidity guidelines.
   Included in this report is a series of detailed  statements about your Fund's
holdings and its financial condition. We hope they are informative.  Please know
that we greatly  appreciate  your  continued  confidence  in the Fund and in The
Dreyfus Corporation.


                                        Very truly yours,



                                        Richard J. Moynihan
                                        Director, Municipal Portfolio Management
                                        The Dreyfus Corporation

December 15, 1996
New York, N.Y.

*Annualized   effective  yield  is  based  upon  dividends  declared  daily  and
 reinvested monthly.



<PAGE>
General New York Municipal Money Market Fund
- --------------------------------------------------------------------------------
Statement of Investments                             November 30, 1996

<TABLE>
<CAPTION>
                                                                                Principal
Tax Exempt Investments--100.0%                                                   Amount               Value
- --------------------------------------------------------------------------     ------------        ------------
<S>                                                                            <C>                 <C>
New York--99.0%
Buffalo, RAN 4.215%, 7/15/97 (LOC; Landesbank Hessen) (a)....................   $ 16,000,000       $ 16,063,205
East Northport Union Free School District, TAN 4.50%, 6/30/97................     10,400,000         10,432,379
Erie County Water Authority, Water Revenue, VRDN 3.35%, Series A
   (Insured; AMBAC and Liquidity Facility; National Bank of Australia) (b)...      9,000,000          9,000,000
Half Hallow Hills Central School District, TAN
   (Huntington and Babylon) 4.25%, 6/27/97...................................     13,050,000         13,071,421
Town of Islip Industrial Development Agency, IDR, VRDN
   (Brentwood Distribution Project) 3.45% (LOC; Bankers Trust) (a,b).........      1,000,000          1,000,000
Metropolitan Transport Authority:
   Commuter Facilities Revenue, VRDN 3.55% (LOC: Bank of Tokyo-Mitsubishi,
     Industrial Bank of Japan, Morgan Trust Guaranty Trust Co.,
     National Westminster Bank and Sumitomo Bank) (a,b)......................     27,700,000         27,700,000
   RAN 4.25%, Series A, 12/12/96.............................................      8,500,000          8,501,524
New York City:
   CP:
     3.55%, 12/6/96..........................................................     11,000,000         11,000,000
     3.55%, Series B-9, 12/6/96..............................................     11,000,000         11,000,000
   RAN 4.50%, Series B, 6/30/97 (LOC: Bank of Nova Scotia,
     Canadian Imperial Bank of Commerce and Commerz Bank) (a)................     16,000,000         16,063,027
   TAN 4.50%, Series A, 2/12/97..............................................     28,500,000         28,539,903
   VRDN:
     3.50%, Series A-6 (LOC; Landesbank Hessen) (a,b)........................     10,000,000         10,000,000
     4%, Series B (Insured; MBIA and SBPA; Rabobank) (b).....................      5,300,000          5,300,000
     4%, Series E-2 (LOC; Morgan Guaranty Trust Co.) (a,b)...................      5,700,000          5,700,000
     4%, Series E-5 (LOC; Morgan Guaranty Trust Co.) (a,b)...................      7,900,000          7,900,000
     4.05%, Series A-4  (SBPA; Chase Manhattan Bank) (b).....................     10,200,000         10,200,000
New York City Housing Development Corporation, Mortgage Revenue, VRDN:
   (Multi-Family-York Avenue Development Project) 3.50% (LOC; Midland Bank) (a,b)  8,000,000          8,000,000
   (Park Gate Tower) 3.40% (LOC; Citibank) (a,b).............................      2,405,000          2,405,000
   (Residential East 17th Street) 3.10%, Series A (LOC; Chase Manhattan
     Bank) (a,b).............................................................      8,000,000          8,000,000
New York City Industrial Development Agency, VRDN:
   Civil Facility Revenue (Children's Oncology Society/ Ronald McDonald House)
     3.40% (LOC; Barclays Bank) (a,b)........................................      3,000,000          3,000,000
   IDR:
     3.60%, Series E (LOC; ABN-Amro Bank) (a,b)..............................        850,000            850,000
     (LaGuardia Association Project) 3.50% (LOC; Banque Indosuez) (a,b)......      8,900,000          8,900,000
New York State, CP
   3.55%, Series S, 2/12/97
     (Revolving Credit Agreement; Westdeutsche Landesbank)...................     27,000,000         27,000,000
New York State Dormitory Authority, Revenues, VRDN
   (Oxford University Press Inc.) 4.05% (LOC; Wachovia Bank of North
     Carolina) (a,b).........................................................      5,000,000          5,000,000
New York State Energy, Research and Development Authority:
   Electric Facilities Revenue, VRDN (LILCO Project)
     3.50%, Series B (LOC; Toronto-Dominion Bank) (a,b)......................      8,000,000          8,000,000
   PCR:
     Bonds
       (New York State Electric and Gas Corp.)
       3.65%, Series D, 12/1/96 (LOC; Union Bank of Switzerland) (a).........     14,615,000         14,615,000



<PAGE>
General New York Municipal Money Market Fund
- --------------------------------------------------------------------------------
Statement of Investments (continued)                        November 30, 1996
                                                                                 Principal
Tax Exempt Investments (continued)                                                 Amount              Value
- --------------------------------------------------------------------------     ------------        ------------
New York State Energy, Research and Development Authority (continued):
   PCR (continued):
     VRDN:
       (Central Hudson Gas and Electric Project)
         3.30%, Series A (LOC; Union Bank of Switzerland) (a,b)..............    $ 7,800,000        $ 7,800,000
       (Niagara Mohawk Power Corp.):
         4.05%, Series A (LOC; Morgan Guaranty Trust Co.) (a,b)..............      6,500,000          6,500,000
         4.05%, Series B (LOC; Morgan Guaranty Trust Co.) (a,b)..............     10,000,000         10,000,000
New York State Local Government Assistance Corporation, VRDN
   3.30%, Series B (LOC; Credit Suisse) (a,b)................................     41,900,000         41,900,000
New York State Medical Care Facilities Finance Agency, Revenue, VRDN
   (Pooled Equipment Loan Program):
     3.40%, Series I (LOC; Chase Manhattan Bank) (a,b).......................      8,500,000          8,500,000
     3.40%, Series II (LOC; Chemical Bank) (a,b).............................     17,500,000         17,500,000
New York State Power Authority:
   CP 3.60%, 2/7/96 (LOC: Bank of America, The Bank of New York,
     Bank of Nova Scotia, Bank of Tokyo-Mitsubishi, Chase Manhattan Bank,
     Citibank, Industrial Bank of Japan and Sanwa Bank) (a)..................     18,000,000         18,000,000
   Revenue, General Purpose Junior Lien
     3.70%, 3/1/97 (Liquidity Facility: Bank of America, Bank of Tokyo-Mitsubishi,
     Morgan Guaranty Trust Co. and Sumitomo Bank)............................     11,500,000         11,500,000
North Hempstead Solid Waste Management Authority,
   Solid Waste Management Revenue, Refunding, VRDN
   3.45%, Series A (LOC; National Westminster Bank) (a,b)....................      3,750,000          3,750,000
Onondaga County Industrial Development Agency, IDR, VRDN
   (Edgecomb Metals Co. Project) 3.45% (LOC; Banque Nationale de Paris) (a,b)      2,000,000          2,000,000
Patchogue-Medford Union Free School District, TAN 4.50%, 6/26/97.............     10,000,000         10,032,914
Port Authority of New York and New Jersey,  Special  Obligation  Revenue,  VRDN,
   Versatile Structure:
     4.10%, Series 4 (LOC; Landesbank Hessen) (a,b)..........................      4,000,000          4,000,000
     4.15%, Series 1 (LOC: Bank of Tokyo-Mitsubishi,
       Sanwa Bank and Sumitomo Bank) (a,b)...................................      5,000,000          5,000,000
Rochester, BAN:
   3.75%, Series I, 3/11/97..................................................     24,000,000         24,022,169
   4.25%, Series III, 10/30/97...............................................     15,000,000         15,059,419
Sachem Central School District, TAN 4.50%, 6/26/97...........................      7,000,000          7,020,990
Three Village Central School District, TAN 4.25%, 6/30/97....................      9,500,000          9,515,855
Triborough Bridge and Tunnel Authority, Special Obligation, VRDN
   3.50% (Insured; FGIC) (b).................................................     25,900,000         25,900,000
Westchester County, TAN 3.75%, 12/11/96......................................     12,000,000         12,002,085
Yonkers Industrial Development Authority, Civic Revenue, Consumers Union
   Facilities, VRDN 3.40% (Insured; AMBAC and Liquidity Facility; Credit Local
   de France) (b)............................................................      3,400,000          3,400,000
U.S. Related--1.0%
Commonwealth of Puerto Rico Government Development Bank, Refunding, CP
   3.60%, 12/5/96............................................................      5,000,000          5,000,000
                                                                                                   ------------
TOTAL INVESTMENTS
   (cost $525,643,558).......................................................                      $525,644,891
                                                                                                   ============
</TABLE>


<PAGE>

General New York Municipal Money Market Fund
- -----------------------------------------------------------------------------

Summary of Abbreviations
- ----------------------------------------------------------------------------
<TABLE>
<CAPTION>

<S>        <C>                                              <C>        <C>
AMBAC      American Municipal Bond Assurance Corporation    MBIA       Municipal Bond Investors Assurance
BAN        Bond Anticipation Notes                                       Insurance Corporation
CP         Commercial Paper                                 PCR        Pollution Control Revenue
FGIC       Financial Guaranty Insurance Company             RAN        Revenue Anticipation Notes
IDR        Industrial Development Revenue                   SBPA       Standby Bond Purchase Agreement
LOC        Letter of Credit                                 TAN        Tax Anticipation Notes
                                                            VRDN       Variable Rate Demand Notes

</TABLE>

Summary of Combined Ratings (Unaudited)
- ----------------------------------------------------------------

<TABLE>
<CAPTION>

<S>                <C>         <C>               <C>          <C>                       <C>
Fitch (c)          or          Moody's           or           Standard & Poor's         Percentage of Value
- ------                         --------                       ----------------          ------------------
F1+/F1                         VMIG1/MIG1, P1(d)              SP1+/SP1, A1+/A1(d)               92.2%
AAA/AA (e)                     Aaa/Aa (e)                     AAA/AA (e)                         3.2
Not Rated (f)                  Not Rated (f)                  Not Rated (f)                      4.6
                                                                                             -------
                                                                                               100.0%
                                                                                             =======

<FN>
Notes to Statement of Investments:
- -----------------------------------------------------------------------------
(a) Secured by letters of credit.  At November 30, 1996, 49.3% of the Fund's net
    assets  are backed by letters of credit  issued by  domestic  banks and
    foreign banks.
(b) 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.
(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) Notes which are not F, MIG or SP rated are  represented by bond ratings
    of the issuers.
(f) Securities  which,  while not rated by Fitch,  Moody's or Standard &
    Poor's have been  determined by the Fund's Board of Trustees to be of
    comparable  quality to those rated securities in which the Fund may invest.

</TABLE>

                       See notes to financial statements.


<PAGE>

General New York Municipal Money Market Fund
- ------------------------------------------------------------
Statement of Assets and Liabilities        November 30, 1996

<TABLE>
<CAPTION>

                                                                                                  Cost              Value
                                                                                               ------------     ------------
<S>                           <C>                                                              <C>              <C>
ASSETS:                       Investments in securities--See Statement of Investments          $525,643,558     $525,644,891
                              Cash.............................................                                    4,505,361
                              Receivable for investment securities sold........                                   10,000,929
                              Interest receivable..............................                                    3,972,387
                              Prepaid expenses.................................                                       11,300
                                                                                                                -------------
                                                                                                                 544,134,868
                                                                                                                -------------


LIABILITIES:                  Due to The Dreyfus Corporation and affiliates....                                      214,232
                              Due to Distributor...............................                                       14,535
                              Accrued expenses.................................                                      170,210
                                                                                                                -------------
                                                                                                                     398,977
                                                                                                                -------------


NET ASSETS.....................................................................                                 $543,735,891
                                                                                                                =============


REPRESENTED BY:               Paid-in capital..................................                                 $543,802,051
                              Accumulated net realized gain (loss) on investments                                    (67,493)
                              Accumulated gross unrealized appreciation
                                (depreciation) on investments..................                                        1,333
                                                                                                                -------------


NET ASSETS.....................................................................                                 $543,735,891
                                                                                                                =============

                              NET ASSET VALUE PER SHARE
                              -------------------------

                                                                                                  Class A         Class B
                                                                                               ------------     ------------
Net Assets.....................................................................                $507,537,364     $36,198,527
Shares Outstanding.............................................................                 507,603,524      36,198,527
                                                                                               ------------     ------------


NET ASSET VALUE PERSHARE.......................................................                       $1.00           $1.00
                                                                                                      ------          -----
                                                                                                      ------          -----
</TABLE>




                       See notes to financial statements.

<PAGE>

General New York Municipal Money Market Fund
- ----------------------------------------------------------------
Statement of Operations           Year Ended November 30, 1996

<TABLE>
<CAPTION>

INVESTMENT INCOME

<S>                           <C>                                                          <C>                  <C>
INCOME                        Interest Income.................................                                  $20,553,409


EXPENSES:                     Management fee--Note 2(a).........................          $2,945,127
                              Shareholder servicing costs--Note 2(c)............             954,898
                              Custodian fees..................................                56,169
                              Professional fees...............................                53,120
                              Distribution fees (Class B)--Note 2(b)...........               50,576
                              Registration fees................................               26,839
                              Trustees' fees and expenses--Note 2(d)............              25,976
                              Prospectus and shareholders' reports.............               19,703
                              Miscellaneous....................................               18,436
                                                                                          -----------
                                   Total Expenses..............................            4,150,844
                              Less--reduction in shareholder servicing costs due to
                                undertaking--Note 2(c).........................              (40,347)
                                                                                          -----------
                                   Net Expenses................................                                     4,110,497
                                                                                                                 ------------



INVESTMENT INCOME--NET..........................................................                                   16,442,912



NET UNREALIZED GAIN (LOSS) ON INVESTMENTS--Note 1(b)............................                                        1,333
                                                                                                                 ------------

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS............................                                  $16,444,245
                                                                                                                 ============


</TABLE>





                       See notes to financial statements.

<PAGE>

General New York Municipal Money Market Fund
- --------------------------------------------------------------
Statement of Changes in Net Assets

<TABLE>
<CAPTION>
                                                                                              Year Ended          Year Ended
                                                                                           November 30, 1996   November 30, 1995
                                                                                         -------------------- ------------------
OPERATIONS:
<S>                                                                                         <C>                <C>
  Investment income--net...............................................                     $   16,442,912     $   21,275,753
  Net realized gain (loss) on investments..............................                            --                 (18,598)
  Net unrealized appreciation (depreciation) on investments............                              1,333             --
                                                                                          -----------------    ---------------
      Net Increase (Decrease) in Net Assets Resulting from Operations..                         16,444,245         21,257,155
                                                                                          -----------------    ---------------

DIVIDENDS TO SHAREHOLDERS FROM:
  Investment income--net:
    Class A shares.....................................................                        (15,817,725)       (21,275,573)
    Class B shares.....................................................                           (625,187)            --
                                                                                          -----------------    ---------------

      Total Dividends..................................................                        (16,442,912)       (21,275,753)
                                                                                          -----------------    ---------------

BENEFICIALINTEREST TRANSACTIONS($1.00 per share): Net proceeds from shares sold:
    Class A shares.....................................................                      1,178,019,825      1,207,959,406
    Class B shares.....................................................                         92,365,836                101
  Dividends reinvested:
    Class A shares.....................................................                         15,007,966         20,215,913
    Class B shares.....................................................                            625,187             --
  Cost of shares redeemed:
    Class A shares.....................................................                     (1,321,504,908)    (1,282,061,656)
    Class B shares.....................................................                        (56,792,597)            --
                                                                                          -----------------    ---------------

      Increase (Decrease) in Net Assets from Beneficial Interest Transactions                  (92,278,691)       (53,886,236)
                                                                                          -----------------    ---------------

        Total Increase (Decrease) in Net Assets........................                        (92,277,358)       (53,904,834)

NET ASSETS:
  Beginning of Period..................................................                        636,013,249        689,918,083
                                                                                          -----------------    ---------------
  End of Period........................................................                   $    543,735,891    $   636,013,249
                                                                                          -----------------    ---------------
                                                                                          -----------------    ---------------
</TABLE>





                       See notes to financial statements.

<PAGE>

General New York Municipal Money Market Fund
- --------------------------------------------------------------------------
Financial Highlights

   Contained  below  is per  share  operating  performance  data  for a share of
Beneficial Interest outstanding,  total investment return, ratios to average net
assets and other  supplemental data for each period indicated.  This information
has been derived from information provided in the Fund's financial statements.

<TABLE>
<CAPTION>
                                                                              Class A Shares
                                                          ----------------------------------------------------
                                                                          Year Ended November 30,
                                                          ----------------------------------------------------
PER SHARE DATA:                                            1996        1995        1994       1993       1992
                                                          ------      ------      ------     ------     ------
<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......................            .028        .032        .023       .020        .028
                                                         ------      ------      ------     ------      ------
   Distributions:
   Dividends from investment income--net.......           (.028)      (.032)      (.023)     (.020)      (.028)
                                                         ------      ------      ------     ------      ------
   Net asset value, end of period..............           $1.00       $1.00       $1.00      $1.00       $1.00
                                                         ======      ======      ======     ======      ======
TOTAL INVESTMENT RETURN........................            2.84%       3.28%       2.34%      2.00%       2.78%

RATIOS/SUPPLEMENTAL DATA:
   Ratio of expenses to average net assets.....             .68%       .58%         .34%        .32%       .25%
   Ratio of net investment income
      to average net assets....................            2.80%      3.23%        2.33%       1.98%      2.99%
   Decrease reflected in above expense ratios
      due to undertakings by the Manager.......             --         .05%         .32%        .35%       .38%
   Net Assets, end of period (000's Omitted)...        $507,537   $636,013     $689,918    $612,441   $630,899

</TABLE>



                       See notes to financial statements.

<PAGE>

General New York Municipal Money Market Fund
- -------------------------------------------------------------------------
Financial Highlights (continued)

   Contained  below  is per  share  operating  performance  data  for a share of
Beneficial Interest outstanding,  total investment return, ratios to average net
assets and other  supplemental data for each period indicated.  This information
has been derived from information provided in the Fund's financial statements.

<TABLE>
<CAPTION>

                                                                                        Class B Shares
                                                                                   -------------------------
                                                                                    Year Ended November 30,
                                                                                   -------------------------


PER SHARE DATA:                                                                      1996            1995(1)
                                                                                   -------          -------

<S>                                                                                <C>              <C>
   Net asset value, beginning of period....................................         $1.00             $1.00
                                                                                   -------          -------
   Investment Operations:
   Investment income--net...................................................         .025              .006
                                                                                   -------          -------
   Distributions:
   Dividends from investment income--net....................................        (.025)            (.006)
                                                                                   -------          -------
   Net asset value, end of period..........................................         $1.00             $1.00
                                                                                   =======          =======
TOTAL INVESTMENT RETURN....................................................          2.55%             2.82%(2)
RATIOS/SUPPLEMENTAL DATA:
   Ratio of expenses to average net assets.................................           .95%             1.04%(2)
   Ratio of net investment income
      to average net assets................................................          2.47%             3.64%(2)
   Decrease reflected in above expense ratios
      due to undertakings by the Manager...................................           .16%              --
   Net Assets, end of period (000's Omitted)...............................       $36,199              --


<FN>
- --------------------------------------------------------------------------------
(1) From September 8, 1995  (commencement  of initial  offering) to November 30,
    1995.
(2) Annualized.


</TABLE>



                       See notes to financial statements.



<PAGE>

General New York Municipal Money Market Fund
- ------------------------------------------------------------------------------
NOTES TO FINANCIAL STATEMENTS

NOTE 1--Significant Accounting Policies:
   General New York Municipal Money Market Fund (the "Fund") is registered under
the  Investment  Company  Act of  1940  ("Act")  as a  non-diversified  open-end
management  investment company.  The Fund's investment  objective is to maximize
current  income  exempt  from  Federal,  New York State and New York City income
taxes  to the  extent  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.
   Premier  Mutual  Fund  Services,   Inc.  (the   "Distributor")  acts  as  the
distributor of the Fund's  shares,  which are sold to the public without a sales
charge.  The Fund is authorized to issue an unlimited  number of $.001 par value
shares in the following  classes of shares:  Class A and Class B. Class B shares
are subject to a Distribution  Plan adopted pursuant to Rule 12b-1 under the Act
and,  in  addition,  Class B shares  are  charged  directly  for  sub-accounting
services  provided  by service  agents at an annual rate of .05% of the value of
the average daily net assets of Class B.
   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 are valued at amortized cost, which has
been  determined  by the Fund's Board of Trustees 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 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. 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  $67,000
available  for  Federal  income tax  purposes to be applied  against  future net
securities  profits,  if any,  realized  subsequent to November 30, 1996. If not
applied,  $9,000 of the  carryover  expires in fiscal 1998,  $40,000  expires in
fiscal 2002 and $18,000 expires in fiscal 2003.
   At November 30, 1996, 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).

<PAGE>

General New York Municipal Money Market Fund
- ------------------------------------------------------------------------------
NOTES TO FINANCIAL STATEMENTS (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 value of the
Fund's average daily net assets and is payable monthly.  The Agreement  provides
that if in any full  fiscal year the  aggregate  expenses,  exclusive  of taxes,
brokerage,  interest on borrowings and extraordinary  expenses,  exceed 11/2% of
the average  value of the Fund's net assets for any full fiscal  year,  the Fund
may deduct from  payments to be made to the  Manager,  or the Manager  will bear
such excess expense. There was no reimbursement during the period ended November
30, 1996.
   (b)  Under  the  Distribution   Plan  with  respect  to  Class  B  ("Class  B
Distribution  Plan"),  adopted  pursuant to Rule 12b-1  under the Act,  the Fund
directly bears the cost of preparing, printing and distributing prospectuses and
statements of additional information and of implementing and operating the Class
B  Distribution  Plan. In addition,  the Fund  reimburses  the  Distributor  for
payments made to third parties for  distributing the Fund's Class B shares at an
aggregate  annual rate of .20 of 1% of the value of the average daily net assets
of Class B. During the period ended  November  30, 1996,  $50,576 was charged to
the Fund pursuant to the Class B Distribution Plan.
   (c) Pursuant to the Fund's Shareholder Services Plan, with respect to Class A
("Class A Shareholder  Services  Plan"),  the Fund  reimburses  Dreyfus  Service
Corporation,  a wholly-owned  subsidiary of the Manager, an amount not to exceed
an annual rate of .25 of 1% of the value of the Fund's  average daily net assets
of Class A for certain allocated expenses for 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 November 30, 1996, the Fund was charged an aggregate of $517,109  pursuant
to the Class A Shareholder Services Plan.
   Pursuant to the Fund's  Shareholder  Services  Plan,  with respect to Class B
("Class B Shareholder  Services  Plan"),  the Fund pays the  Distributor,  at an
annual rate of .25 of 1% of the value of the average daily net assets of Class B
shares 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.
The  Distributor  may make  payments  to Service  Agents (a  securities  dealer,
financial  institution  or other  industry  professional)  in  respect  of their
services. The Distributor determines the amounts to be paid to Service Agents.
   The Manager has  undertaken,  through  March 31, 1997,  that if the aggregate
expenses of Class B of the Fund, (excluding certain expenses as described above)
exceed  .95 of 1% of the value of the  average  daily net assets of Class B, the
Manager will  reimburse  the expenses of the Fund under the Class B  Shareholder
Services Plan relating to Class B to the extent of any excess  expense and up to
the full fee payable under such Plan. During the period ended November 30, 1996,
$75,863 was  charged to the Fund  pursuant  to the Class  BShareholder  Services
Plan, of which $40,347 was reimbursed by the Manager.
   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. Such  compensation
amounted to $172,569 during the period ended November 30, 1996.
   (d) Each  trustee  who is not an  "affiliated  person"  as defined in the Act
receives from the Fund an annual fee of $2,500 and an attendance fee of $250 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.




<PAGE>

General New York Municipal Money Market Fund
- -------------------------------------------------------------------------------
Report of Ernst & Young LLP, Independent Auditors

Shareholders and Board of Trustees
General New York Municipal Money Market Fund

  We have  audited  the  accompanying  statement  of assets and  liabilities  of
General New York  Municipal  Money  Market  Fund,  including  the  statement  of
investments,  as of November 30, 1996,  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  generally  accepted  auditing
standards.  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.  Our  procedures  included  confirmation  of securities  owned as of
November 30, 1996 by correspondence  with the custodian.  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
General New York  Municipal  Money Market Fund at November 30, 1996, 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 generally  accepted  accounting
principles.


                                                  Ernst & Young LLP



New York, New York
January 3, 1997



<PAGE>

General New York Municipal Money Market Fund
- ------------------------------------------------------------------------------
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 November
30, 1996 as "exempt-interest dividends" (not subject to regular Federal and, for
individuals  who are New York  residents,  New  York  State  and New  York  City
personal income taxes).



<PAGE>
General New York
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
90 Washington Street
New York, NY 10286

Transfer Agent &
Dividend Disbursing Agent
Dreyfus Transfer, Inc.
P.O. Box 9671
Providence, RI 02940








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