DREYFUS BASIC MUNICIPAL MONEY MARKET FUND INC /MD/
N-30D, 1999-05-06
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YEAR 2000 ISSUES (UNAUDITED)

  The  fund  could  be  adversely  affected  if the computer systems used by The
Dreyfus  Corporation  and  the  fund' s  other service providers do not properly
process  and  calculate date-related information from and after January 1, 2000.
The  Dreyfus  Corporation  is working to avoid Year 2000-related problems in its
systems  and  to  obtain  assurances  from other service providers that they are
taking  similar  steps.  In  addition,  issuers  of securities in which the fund
invests may be adversely affected by Year 2000-related problems. This could have
an impact on the value of the fund's investments and its share price.

DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased  to  report  the  performance  for  Dreyfus  BASIC New Jersey
Municipal Money Portfolio for the six-month period ended February 28, 1999. Your
portfolio  produced  an annualized yield of 2.60% and, after taking into account
the effect of compounding, the annualized effective yield was 2.63%.*

THE ECONOMY

  The  American  economy  in  the  period  ended  February  28, 1999 had several
persistent themes. These included weakness in the world economy, strength in the
U.S., pervasive disinflation and action by central banks to lower interest rates
in many parts of the world.

  Weakness  in  the  world  economy  started in Asia with economic and financial
stresses  throughout  most  of  that continent. While China was able to generate
economic expansion by government spending, economic declines occurred in most of
the  rest  of Asia. The most severe phase occurred when Asian currencies dropped
and short-term interest rates rose. Tentative signs of a bottoming of the crises
in  Asia  had emerged by the end of your portfolio's fiscal year. However, Latin
America had begun to weaken in the aftermath of Brazilian economic weakness.

  Europe  was  full  of optimism about the benefits of currency unification into
the  Euro  as  of  year-end 1998. The reality was that economic growth in Europe
began 1998 at a modest pace and showed signs of stagnation by year-end. Even so,
the new European central bank postponed any reduction in interest rates in early
1999, probably because of a desire to build anti-inflationary credibility.

  The  U.S. economy over the last year grew at an impressively high rate despite
the  economic  weakness  overseas. A major reason for this was that the negative
effects  of  foreign economic weakness on the traditional industrial sector were
offset  by  positive  effects  elsewhere  in  the economy. Low inflation and low
interest rates stimulated the housing and consumer sectors, while the technology
sector continued to expand.

  The  Federal  Reserve  Board  eased  monetary  policy three times beginning on
September  30,  1998,  lowering the Federal Funds rate from 5.50% to 4.75%. This
was  not  because  of  any  shortfall  in U.S. economic growth. Rather, it was a
response  to the financial stresses that started with the Russian default in the
summer  of 1998 and culminated in the liquidity crisis of an overleveraged hedge
fund in the September/October period. Despite widespread fears, the U.S. economy
never did slow. Long-term interest rates declined into early October, when fears
of  financial  crisis,  deflation  and possible economic recession were at their
greatest. However, long-term rates then drifted higher as the financial stresses
eased and the feared economic slowdown did not materialize.

MARKET ENVIRONMENT/PORTFOLIO FOCUS

  Throughout  the  fall,  the  short-term municipal market continued to feel the
effects  of  the diminished supply of new issuance during the summer months. The
overall  lack  of  availability of suitable New Jersey-exempt investments in the
one-year  range  held  yields  down  for  most of the period. As a result of the
relatively  flat  yield  curve  that  existed,  we utilized the commercial paper
market  as  a  means  of  locking in attractive rates in the 60- to 90-day range
without    having    to    extend    out    a    full    year.

  As  year-end  approached,  we were poised to take advantage of seasonal market
weakness and extend the portfolio's average maturity when possible. However, the
short-term  municipal market's weakness in late December was slight and afforded
us  less  opportunity than in prior years. This, coupled with the lack of supply
of  high-quality  New  Jersey-exempt  paper,  hindered our ability to extend the
portfolio' s  average maturity. When possible, we selectively purchased one-year
notes  issued  by  New  Jersey  municipalities which provided competitive market
yield  and  which  met  the  high  standards required by our internal investment
guidelines.   We  will  continue  to  search  for  similar  one-year  investment
opportunities  which  will  lock  in  higher rates while providing an attractive
return to the tax-exempt investor. As always, we will structure the portfolio in
an  attempt  to  maximize current yield while maintaining our commitment to high
quality tax-exempt investments.

               Very truly yours,


               [Richard J. Moynihan signature]



               Richard J. Moynihan

               Director, Municipal Portfolio Management

               The Dreyfus Corporation

March 18, 1999

New York, N.Y.

*  Annualized  effective  yield  is  based  upon  dividends  declared  daily and
reinvested  monthly. There is no assurance that a money market fund will be able
to maintain a stable net asset value of $1.00 per share. Yield fluctuates.

<TABLE>
<CAPTION>
DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------
STATEMENT OF INVESTMENTS                                                                           FEBRUARY 28, 1999 (UNAUDITED)

                                                                                                  Principal

Tax Exempt Investments--97.7%                                                                      Amount            Value
- -------------------------------------------------------                                         _____________     _____________
<S>                                                                                            <C>               <C>
Atlantic City, GO Notes 4%, 8/15/1999 (Insured; AMBAC) . . . . . . . . . . . . . . . . . .     $    2,250,000    $    2,253,991

Atlantic County Improvement Authority, Revenue, VRDN

 (Aces Pooled Government Loan Program)

  2.50% (LOC; Kredietbank) (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,000,000         4,000,000

Burlington County, BAN 4%, Series A, 6/11/1999 . . . . . . . . . . . . . . . . . . . . . .          3,724,000         3,727,611

Hudson County Improvement Authority, VRDN (Essential Purpose Pooled Government)

  2.95% (LOC; Comerica Bank) (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,700,000         4,700,000

Middlesex County, GO Notes 4%, 10/1/1999 . . . . . . . . . . . . . . . . . . . . . . . . .          1,115,000         1,120,423

Monmouth County Improvement Authority, Revenue, VRDN
  (Aces Pooled Government Loan Program)

  2.40% (LOC; Union Bank of Switzerland) (a) . . . . . . . . . . . . . . . . . . . . . . .          7,000,000         7,000,000

New Jersey Economic Development Authority:

  SWDR (Newark Recycling) 3%, 6/15/1999 (LOC; Societe Generale)  . . . . . . . . . . . . .          3,000,000         3,000,000

  VRDN:

    Dock Facility Revenue, Refunding (Bayonne/Imtt Project)

       3.15%, Series A (LOC; First Chicago Corp.) (a)  . . . . . . . . . . . . . . . . . .          7,250,000         7,250,000

    EDR, Refunding (Dow Chemical-El Dorado Terminal):

       2.80%, Series 1984A (LOC; Dow Chemical Co.) (a).  . . . . . . . . . . . . . . . . .          4,300,000         4,300,000

       2.80%, Series 1984B (LOC; Dow Chemical Co.) (a) . . . . . . . . . . . . . . . . . .          3,500,000         3,500,000

    Industrial and EDR (Merck and Co.) 3.15%, Series A and B (a).  . . . . . . . . . . . .          1,700,000         1,700,000

    Revenue:

       (Hoffman-La Roche Inc. Project) 3.15% (LOC; Bayerische Landesbank) (a)  . . . . . .          2,000,000         2,000,000

       Thermal Energy Facilities (Thermal Energy Limited Partnership)

         2.60% (LOC; First Chicago Corp.) (a)  . . . . . . . . . . . . . . . . . . . . . .          3,000,000         3,000,000

       (U.S. Golf Association Project) 2.80% (LOC; PNC Bank) (a).  . . . . . . . . . . . .          2,400,000         2,400,000

New Jersey Health Care Facilities Financing Authority, Revenue:

  Refunding (Kennedy Health System) 5.50%, Series B, 7/1/1999 (Insured; MBIA)  . . . . . .          2,275,000         2,293,496

  VRDN:

    (Hospital Capital Asset Financing):

       2.80%, Series A (LOC; Chase Manhattan Bank) (a) . . . . . . . . . . . . . . . . . .          5,500,000         5,500,000

       2.80%, Series D (LOC; Chase Manhattan Bank) (a) . . . . . . . . . . . . . . . . . .          6,000,000         6,000,000

    Refunding (Christian Health) 2.70%, Series 1997B (LOC; Valley National Bank) (a) . . .          3,700,000         3,700,000

New Jersey Sports and Exposition Authority, State Contract, VRDN

  2.75%, Series C (Insured; MBIA and Liquidity Facility; Credit Suisse) (a)  . . . . . . .          9,845,000         9,845,000

New Jersey Transportation Trust Fund Authority, Transportation System

  5%, Series A, 12/15/1999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,250,000         2,282,328

New Jersey Turnpike Authority, Turnpike Revenue, Refunding, VRDN

  2.60%, Series D (Insured; FGIC and SBPA; Societe Generale) (a) . . . . . . . . . . . . .          1,900,000         1,900,000

Port Authority of New York and New Jersey, Special Obligation Revenue, VRDN

 (Versatile Structure Obligation):

    3.15%, Series 2 (LOC; Morgan Guaranty Trust Co.) (a) . . . . . . . . . . . . . . . . .          1,300,000         1,300,000

    3.25%, Series 3 (Liquidity Facility; Morgan Guaranty Trust Co.) (a)  . . . . . . . . .          4,000,000         4,000,000

    3.25%, Series 4 (LOC; Landesbank Hessen) (a) . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,000,000

    3.25%, Series 6 (Liquidity Facility; Bank of Nova Scotia) (a)  . . . . . . . . . . . .          5,500,000         5,500,000

DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------
STATEMENT OF INVESTMENTS                                                                           FEBRUARY 28, 1999 (UNAUDITED)
                                                                                                  Principal

Tax Exempt Investments (continued)                                                                 Amount            Value
- -------------------------------------------------------                                         _____________     _____________

Salem County Pollution Control Financing Authority, PCR, Refunding, VRDN

  (Public Service Electric and Gas)
  2.60% (BPA; Union Bank of Switzerland and Insured; MBIA) (a) . . . . . . . . . . . . . .     $    5,700,000    $    5,700,000

Somerset County Industrial Pollution Control Financing Authority, Revenue,
Refunding, VRDN

  (American Cyanamid) 2.50% (LOC; American Home Products) (a)  . . . . . . . . . . . . . .          4,300,000         4,300,000

South Jersey Transportation Authority, BAN

  2.95%, 11/3/1999 (LOC; First Union National Bank of North Carolina)  . . . . . . . . . .          2,500,000         2,500,000

State of New Jersey, CP, Series 1999A:

  2.75%, 4/8/1999 (Liquidity Facility: Bank of Nova Scotia and Commerzbank)  . . . . . . .          3,000,000         3,000,000

  2.55%, 4/20/1999 (Liquidity Facility: Bank of Nova Scotia and Commerzbank).  . . . . . .          2,000,000         2,000,000

Woodbridge Township, BAN 4%, 7/1/1999. . . . . . . . . . . . . . . . . . . . . . . . . . .          3,820,450         3,825,992

                                                                                                                  _____________

TOTAL INVESTMENTS (cost $115,598,841). . . . . . . . . . . . . . . . . . . . . . . . . . .              97.7%      $115,598,841

                                                                                                      _______     _____________

CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               2.3%    $    2,701,214
                                                                                                      _______     _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             100.0%      $118,300,055
                                                                                                      _______     _____________

</TABLE>
<TABLE>
<CAPTION>
Summary of Abbreviations
- -----------------------------------------------------------------------------
<S>         <C>                                                     <C>         <C>
AMBAC       American Municipal Bond Assurance Corporation           LOC         Letter of Credit
BAN         Bond Anticipation Notes                                 MBIA        Municipal Bond Investors Assurance
BPA         Bond Purchase Agreement                                                Insurance Corporation
CP          Commercial Paper                                        PCR         Pollution Control Revenue
EDR         Economic Development Revenue                            SBPA        Standby Bond Purchase Agreement
FGIC        Financial Guaranty Insurance Company                    SWDR        Solid Waste Disposal Revenue
GO          General Obligation                                      VRDN        Variable Rate Demand Notes
</TABLE>
<TABLE>
<CAPTION>
Summary of Combined Ratings (Unaudited)
- -----------------------------------------------------------------------------

Fitch                or            Moody's             or            Standard & Poor's              Percentage of Value
____                               _______                           ________________                _________________
<S>                                <C>                               <C>                                  <C>
F1+/F1                             VMIG1/MIG1, P1                    SP1+/SP1, A1+/A1                     86.1%
AAA/AA (b)                         Aaa/Aa (b)                        AAA/AA (b)                            8.6
Not Rated (c)                      Not Rated (c)                     Not Rated (c)                         5.3
                                                                                                        _______
                                                                                                         100.0%
                                                                                                        _______
</TABLE>

Notes to Statement of Investments:
- -----------------------------------------------------------------------------

(a)Securities  payable  on demand. Variable interest rate--subject to periodic
 change.

(b)Notes  which  are not MIG, SP or F rated are represented by bond ratings of
 the issuers.

(c)Securities  which,  while  not rated by Fitch, Moody's or Standard & Poor's
 have  been determined by the Manager to be of comparable quality to those rated
 securities in which the Fund may invest.

                      SEE NOTES TO FINANCIAL STATEMENTS.
<TABLE>
<CAPTION>
DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------
STATEMENT OF ASSETS AND LIABILITIES                                                              FEBRUARY 28, 1999 (UNAUDITED)

                                                                                                     Cost            Value
                                                                                               ______________     _____________
<S>                                                                                            <C>                <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $115,598,841      $115,598,841

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            1,299,311

                                 Receivable for investment securities sold . . . . . . . .                              800,114

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                              631,795

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                               16,360

                                                                                                                  _____________

                                                                                                                    118,346,421

                                                                                                                  _____________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                               19,094

                                 Accrued expenses  . . . . . . . . . . . . . . . . . . . .                               27,272

                                                                                                                  _____________

                                                                                                                         46,366

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $118,300,055

                                                                                                                  _____________


REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $118,303,534

                                 Accumulated net realized gain (loss) on investments . . .                               (3,479)

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $118,300,055
                                                                                                                  _____________

SHARES OUTSTANDING

(1 billion shares of $.001 par value Common Stock authorized). . . . . . . . . . . . . . .                          118,303,534

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

                                                                                                                         ______


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
<CAPTION>
DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS                                                               SIX MONTHS ENDED FEBRUARY 28, 1999 (UNAUDITED)

INVESTMENT INCOME
<S>                              <C>                                                              <C>                <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . . . . . .                           $1,804,271

EXPENSES:                        Management fee--Note 2(a) . . . . . . . . . . . . . . . .        $   295,519

                                 Shareholder servicing costs-Note 2(b) . . . . . . . . . .             44,088

                                 Auditing fees . . . . . . . . . . . . . . . . . . . . . .             16,168

                                 Registration fees . . . . . . . . . . . . . . . . . . . .              8,490

                                 Custodian fees  . . . . . . . . . . . . . . . . . . . . .              6,200

                                 Prospectus and shareholders' reports  . . . . . . . . . .              4,527

                                 Directors' fees and expenses--Note 2(c) . . . . . . . . .              1,274

                                 Legal fees  . . . . . . . . . . . . . . . . . . . . . . .              1,012

                                 Miscellaneous . . . . . . . . . . . . . . . . . . . . . .              3,446

                                                                                                  ___________

                                    Total Expenses . . . . . . . . . . . . . . . . . . . .            380,724

                                 Less--reduction in management fee due to

                                    undertaking--Note 2(a) . . . . . . . . . . . . . . . .           (110,764)

                                                                                                  ___________

                                    Net Expenses . . . . . . . . . . . . . . . . . . . . .                              269,960
                                                                                                                    ___________

INVESTMENT INCOME-NET, representing net increase in net assets resulting
from operations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                           $1,534,311

                                                                                                                    ___________


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
<CAPTION>
DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------
STATEMENT OF CHANGES IN NET ASSETS

                                                                                          Six Months Ended
                                                                                          February 28, 1999        Year Ended
                                                                                             (Unaudited)        August 31, 1998
                                                                                            _____________        _____________
<S>                                                                                         <C>                 <C>
OPERATIONS:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $    1,534,311      $     3,819,515

  Net realized gain (loss) from investments  . . . . . . . . . . . . . . . . . . . . . .         ---                    (3,479)
                                                                                            _____________        _____________


    Net Increase (Decrease) in Net Assets Resulting from Operations  . . . . . . . . . .        1,534,311            3,816,036
                                                                                            _____________        _____________

DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income-net  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       (1,534,311)          (3,819,515)
                                                                                            _____________        _____________

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

  Net proceeds from shares sold  . . . . . . . . . . . . . . . . . . . . . . . . . . . .       35,305,776           79,800,472

  Dividends reinvested . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        1,486,699            3,709,795

  Cost of shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      (37,114,911)        (101,437,681)
                                                                                            _____________        _____________

    Increase (Decrease) in Net Assets from Capital Stock Transactions  . . . . . . . . .         (322,436)         (17,927,414)
                                                                                            _____________        _____________

       Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . . . . . . .         (322,436)         (17,930,893)

NET ASSETS

  Beginning of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      118,622,491          136,553,384
                                                                                            _____________        _____________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $118,300,055         $118,622,491
                                                                                            _____________        _____________

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
<CAPTION>
DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

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

                                                                           Six Months Ended
                                                                           February 28, 1999        Year Ended August 31,
                                                                                                 __________________________

PER SHARE DATA:                                                               (Unaudited)        1998        1997      1996(1)
                                                                               _________        _______     _______    _______
<S>                                                                            <C>              <C>         <C>        <C>
   Net asset value, beginning of period  . . . . . . . . . . . . . . . . .      $  1.00         $  1.00     $  1.00    $  1.00
                                                                                _______         _______     _______    _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . .         .013            .030        .031       .025
                                                                                _______         _______     _______    _______

   Distributions:

   Dividends from investment income--net . . . . . . . . . . . . . . . . .        (.013)          (.030)      (.031)     (.025)
                                                                                _______         _______     _______    _______

   Net asset value, end of period  . . . . . . . . . . . . . . . . . . . .        $1.00           $1.00       $1.00      $1.00
                                                                                _______         _______     _______    _______

TOTAL INVESTMENT RETURN. . . . . . . . . . . . . . . . . . . . . . . . . .         2.60%(2)        3.01%       3.17%      3.38%(2)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . . . . . . . . .          .45%(2)         .45%        .36%       .06%(2)

   Ratio of net investment income

       to average net assets . . . . . . . . . . . . . . . . . . . . . . .         2.60%(2)        2.97%       3.12%      3.25%(2)

   Decrease reflected in above expense ratios

       due to undertakings by the Manager  . . . . . . . . . . . . . . . .          .19%(2)         .19%        .27%       .68%(2)

   Net Assets, end of period (000's Omitted) . . . . . . . . . . . . . . .     $118,300        $118,622    $136,553   $100,248
- ------------------------

(1)  From December 1, 1995 (commencement of operations) to August 31, 1996.

(2)  Annualized.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED)

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

   Dreyfus  BASIC  New Jersey Municipal Money Market Portfolio (the "Fund") is a
separate  non-diversified  series  of  Dreyfus  BASIC  Municipal Fund, Inc. (the
" Company" ) which  is  registered  under  the Investment Company Act of 1940 as
amended  (the  "Act"), as an open-end management investment company and operates
as  a  series  company  currently  offering  four series including the Fund. The
Fund' s  investment  objective  is  to provide investors with as high a level of
current  income  exempt  from Federal and New Jersey income tax as is consistent
with  the  preservation  of  capital  and  maintenance of liquidity. The Dreyfus
Corporation (the "Manager") serves as the Fund's investment adviser. The Manager
is  a  direct subsidiary of Mellon Bank, N.A. Premier Mutual Fund Services, Inc.
is  the distributor of the Fund's shares, which are sold to the public without a
sales charge.

The Company accounts separately for the assets, liabilities and operations of
each  fund.  Expenses  directly  attributable  to  each fund are charged to that
fund' s  operations;  expenses  which  are applicable to all funds are allocated
among them on a pro rata basis.

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 Company'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. Under the terms of the custody agreement,
the  Fund  received  net  earnings  credits  of  $4,583  during the period ended
February  28,  1999  based  on  available  cash balances left on deposit. Income
earned under this arrangement is included in interest income.

   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 $352 available for Federal
income tax purposes to be applied against future net securities profits, if any,
realized  subsequent  to  August  31,  1998.  The carryover does not include net
realized  securities  losses from November 1, 1997 through August 31, 1998 which
are  treated, for Federal income tax purposes, as arising in fiscal 1999. If not
applied, the carryover expires in fiscal 2006.

DREYFUS BASIC NEW JERSEY MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

At February 28, 1999, 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 has undertaken, until such
time  as  it  gives  shareholders  at  least 90 days' notice to the contrary, to
reduce  the  management  fee  paid  by  the  Fund, to the extent that the Fund's
aggregate  expenses,  exclusive  of  taxes,  brokerage,  interest on borrowings,
commitment  fees  and extraordinary expenses, exceed an annual rate of .45 of 1%
of the value of the Fund's average daily net assets. The reduction in management
fee,  pursuant  to the undertaking, amounted to $110,764 during the period ended
February 28, 1999.

   (B)  Under the 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
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
February  28,  1999,  the  Fund  was charged $37,564 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  February  28,  1999, the Fund was charged $4,147 pursuant to the transfer
agency agreement.

   (C)  Each  director  who  is not an "affiliated person" as defined in the Act
receives  from the Company an annual fee of $1,000 and an attendance fee of $250
per  meeting.  The  Chairman  of  the  Board  receives an additional 25% of such
compensation.
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DREYFUS BASIC NEW JERSEY

MUNICIPAL MONEY MARKET PORTFOLIO

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



Printed in U.S.A.                                              127SA992

BASIC New Jersey

Municipal Money

Market Portfolio

Semi-Annual

Report

February 28, 1999



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