DREYFUS BASIC MUNICIPAL MONEY MARKET FUND INC /MD/
N-30D, 1999-11-03
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Dreyfus

BASIC New Jersey Municipal Money Market Portfolio

ANNUAL REPORT August 31, 1999

(reg.tm)





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

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

Year 2000 Issues (Unaudited)

The portfolio could be adversely affected if the computer systems used by The
Dreyfus Corporation and the portfolio'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 portfolio
invests may be adversely affected by Year 2000-related problems. This could have
an impact on the value of the portfolio's investments and its share price.


                                 Contents

                                 THE PORTFOLIO
- ------------------------------------------------------------

                             2   Letter from the President

                             3   Discussion of Performance

                             6   Statement of Investments

                             9   Statement of Assets and Liabilities

                            10   Statement of Operations

                            11   Statement of Changes in Net Assets

                            12   Financial Highlights

                            13   Notes to Financial Statements

                            16   Report of Independent Auditors

                            17   Important Tax Information

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

                                 Back Cover

                                                                  The Portfolio

                                                                  Dreyfus BASIC

                                                           New Jersey Municipal

                                                         Money Market Portfolio

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to  present  this  annual  report for Dreyfus BASIC New Jersey
Municipal Money Market Portfolio, covering the 12-month period from September 1,
1998 through August 31, 1999. 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, Jill Shaffro McGovern.

When  the  period  began, financial crises in overseas markets produced concerns
among  investors  that economies in the U.S. and abroad might slow. In response,
the  Federal  Reserve  Board  reduced short-term interest rates in an attempt to
stimulate  economic  growth.  Its  strategy  apparently worked, because signs of
renewed  economic  strength  became  evident  early  in 1999, fueling fears that
inflationary  pressures  might  re-emerge.  The  Federal  Reserve  then reversed
course,  raising  short-term  interest rates twice during the summer of 1999 and
effectively reversing most of last fall's interest-rate cuts.

Tax-exempt  money  market  yields  were  also  influenced  by  supply-and-demand
factors.  Strong economic conditions have curtailed many municipalities' need to
borrow  over  the  short term, reducing the available supply of tax-exempt money
market securities. Yet, investor demand remained strong from individuals seeking
to  minimize  their tax liabilities. This imbalance helped constrain the rise of
tax-exempt  money  market  yields relative to taxable money market yields during
the first eight months of 1999.

We  appreciate  your  confidence over the past year, and we look forward to your
continued  participation  in  Dreyfus  BASIC  New  Jersey Municipal Money Market
Portfolio.

Sincerely,


[Stephen E. Canter signature]


Stephen E. Canter

President and Chief Investment Officer

The Dreyfus Corporation

September 14, 1999




DISCUSSION OF PERFORMANCE

Jill Shaffro McGovern, Portfolio Manager

How did Dreyfus BASIC New Jersey Municipal  Money Market Portfolio perform?

For  the  12-month  period  ended  August  31,  1999,  the  portfolio produced a
tax-exempt  yield  of 2.59%. Taking into account the effects of compounding, the
portfolio  provided  an  effective  yield  of 2.62%.(1) The portfolio provided a
total  return  of  2.62% (2)  compared to the Lipper New Jersey Tax-Exempt Money
Market Funds category average return of 2.51% over the same period.(3)

What is the portfolio's investment approach?

Our  goal  is  to  seek  a high level of federal and New Jersey state tax-exempt
income  while maintaining a stable $1.00 share price. We are especially vigilant
in    our    efforts    to    preserve    capital.

To  achieve  this objective, 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 New Jersey issuers. Second, we actively manage the
portfolio' s  average  maturity  in  anticipation  of  interest  rate trends and
supply-and-demand changes in New Jersey's short-term municipal marketplace.

For   example,   if   we  expect  an  increase  in  short-term  supply  as  many
municipalities  currently  issue  short-term  debt,  we may decrease the average
maturity of the fund to enable it to purchase new securities with higher yields.
That' s  because  yields tend to rise if many issuers are competing for investor
interest.  New  securities  are generally issued with maturities in the one-year
range,  which  will lengthen the fund's average maturity. If we expect demand to
surge at a time when we anticipate little issuance and, therefore, lower yields,
we  may increase the portfolio'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-demand considerations.

                                                       The Portfolio


DISCUSSION OF PERFORMANCE (CONTINUED)

What other factors influenced the portfolio's performance?

When  the Asian currency and credit crisis spread to Russia and threatened Latin
America  last summer and fall, the Federal Reserve Board and other central banks
moved  quickly  to soften the effects of weakening foreign economies and sustain
domestic economic growth. They did so by reducing key short-term interest rates,
which   was   intended  to  help  boost  economic  activity  and  to  ease  less
accommodative  financial  conditions domestically. An additional consequence was
lower yields on money market securities.

The Federal Reserve Board's strategy was apparently successful. Evidence emerged
in 1999 that economies in Japan and Southeast Asia had begun to recover, and the
growth  of  the  U.S.  economy  was stronger than most analysts expected. In the
United  States,  consumer  confidence  was at a 30-year high, and employment was
strong, with hourly wages rising.

This  positive  economic  news raised concerns among fixed-income investors that
inflation  pressures  might  re-emerge.  In  response, the Federal Reserve Board
increased short-term interest rates twice during the summer of 1999, effectively
offsetting  most  of  last fall's rate cuts. Because the market anticipated this
change  in  monetary  policy  in  the weeks before it was announced, short-term,
tax-exempt yields rose during the second quarter.

Tax-exempt  money  market  yields  did  not  rise  as much as comparable taxable
yields,  primarily  because  New Jersey -- and many other states -- have enjoyed
higher  tax revenues during this period of economic prosperity. As a result, New
Jersey and many of its municipalities have had little need to borrow in order to
satisfy  their  short-term  obligations. The relative lack of supply amid steady
investor demand helped constrain the rise of short-term, tax-exempt yields.


What is the portfolio's current strategy?

We have continued to focus on very high-quality, liquid money market instruments
from  an  array  of  New  Jersey  issuers.  Some  of  the  most  frequently used
instruments  include  Variable  Rate  Demand  Notes (VRDNs), which are issued by
investment  banks  through  the  securitization  of longer term municipal bonds.
Because  VRDNs  can  be  redeemed  at the buyer's option after either one day or
seven  days,  they  afford  the  fund a high degree of liquidity as well as high
credit quality. Accordingly, as of August 31, much of the portfolio was composed
of   VRDNs.   The  remainder  was  comprised  primarily  of  tax-exempt  notes.

As  of  August 31, the portfolio's average maturity was at 40 days. Our strategy
has  been  to retain the flexibility we need to capture competitive yields while
remaining  capable  of  responding quickly to changing market conditions. We are
looking  forward to the expected issuance of $850 million of commercial paper by
the  state  of  New Jersey. As we move into the fourth quarter and await further
clarification  of  Fed  policy,  we  expect  to  utilize  the  flexibility these
securities will provide.

September 14, 1999

(1)  EFFECTIVE YIELD IS BASED UPON DIVIDENDS DECLARED DAILY AND REINVESTED
MONTHLY. PAST PERFORMANCE IS NO GUARANTEE OF FUTURE RESULTS. YIELDS FLUCTUATE.
AN INVESTMENT IN THE PORTFOLIO IS NOT INSURED OR GUARANTEED BY THE FDIC OR ANY
OTHER GOVERNMENT AGENCY. ALTHOUGH THE PORTFOLIO SEEKS TO PRESERVE THE VALUE OF
YOUR INVESTMENT AT $1.00 PER SHARE, IT IS POSSIBLE TO LOSE MONEY BY INVESTING IN
THE PORTFOLIO.

(2)  TOTAL RETURN INCLUDES REINVESTMENT OF DIVIDENDS. INCOME MAY BE SUBJECT TO
STATE AND LOCAL TAXES FOR NON-NEW JERSEY RESIDENTS, AND SOME INCOME MAY BE
SUBJECT TO THE FEDERAL ALTERNATIVE MINIMUM TAX (AMT) FOR CERTAIN INVESTORS.

(3)  SOURCE: LIPPER ANALYTICAL SERVICES, INC.

                                                       The Portfolio

STATEMENT OF INVESTMENTS

August 31, 1999
<TABLE>
<CAPTION>

                                                                              Principal

TAX EXEMPT INVESTMENTS--97.6%                                                Amount ($)       Value ($)
- ------------------------------------------------------------------------------------------------------------

Atlantic County Improvement Authority, Revenue, VRDN

  (Aces Pooled Government Loan Program)

<S>                                                                            <C>            <C>
   2.75% (LOC; Kredietbank)                                                    4,000,000 (a)  4,000,000

Burlington County, BAN 3.50%, 6/9/2000                                         1,000,000      1,002,309

Essex County, TAN 3.50%, 11/18/1999                                            2,500,000      2,501,721

Essex County Improvement Authority, BAN 3.50%, 3/31/2000                       5,000,000      5,009,818

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

   3.20% (LOC; Comerica Bank)                                                  4,700,000 (a)  4,700,000

Middlesex County, Refunding 4%, 10/1/1999                                      1,115,000      1,115,760

Monmouth County Improvement Authority, Revenue, VRDN
  (Aces Pooled Government Loan Program)
   2.80% (LOC; The Bank of New York)                                           5,350,000 (a)  5,350,000

Morristown, BAN 3.50%, 5/3/2000                                                4,900,000      4,909,492
New Jersey Economic Development Authority, VRDN:
  Dock Facility Revenue, Refunding (Bayonne/IMTT Project)

       2.95%, Series A (LOC; First Chicago Corp.)                              7,250,000 (a)  7,250,000

   EDR (Dow Chemical-El Dorado Terminal)

       2.60%, Series B (LOC; Dow Chemical Co.)                                 3,500,000 (a)  3,500,000

   Industrial and EDR (Merck and Co.) 3.55%, Series A and B                    1,700,000 (a)  1,700,000

   Revenue:

       (Hoffman-La Roche Inc. Project)
          2.75% (LOC; Bayerische Landesbank)                                   2,000,000 (a)  2,000,000

       Thermal Energy Facilities

          (Thermal Energy Limited Partnership)

          2.85% (LOC; First Chicago Corp. )                                    3,000,000 (a)  3,000,000

       (U.S. Golf Association Project) 3.10% (LOC; PNC Bank)                   2,400,000 (a)  2,400,000

   Water Facilities Revenue, Refunding
       (United Water New Jersey Inc. Project)
       2.60%, Series A (Insured; AMBAC and Liquidity Facility;
       The Bank of New York)                                                   2,100,000 (a)  2,100,000

New Jersey Health Care Facilities Financing Authority,
   Revenue, VRDN:

       (Hospital Capital Asset Financing):

          3.05%, Series A (LOC; Chase Manhattan Bank)                          6,500,000 (a)  6,500,000

          3.05%, Series D (LOC; Chase Manhattan Bank)                          6,000,000 (a)  6,000,000

       Refunding (Christian Health) 2.95%, Series 1997B
          (LOC; Valley National Bank)                                          3,700,000 (a)  3,700,000

New Jersey Sports and Exposition Authority,
   State Contract, VRDN
   3%, Series C
   (Insured; MBIA and Liquidity Facility; Credit Suisse)                       9,845,000 (a)  9,845,000


                                                                               Principal

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

New Jersey Transportation Trust Fund Authority,
  Transportation System

   5%, Series A, 12/15/1999                                                    2,250,000      2,261,745

New Jersey Turnpike Authority,
   Turnpike Revenue, Refunding, VRDN

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

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

   (Versatile Structure Obligation):

       2.60%, Series 2 (LOC; Morgan Guaranty Trust Co.)                        2,700,000 (a)  2,700,000

       2.75%, Series 4 (LOC; Landesbank Hessen)                                5,300,000 (a)  5,300,000

       2.90%, Series 5 (Liquidity Facility; Bayerische Landesbank)             8,000,000 (a)  8,000,000

Salem County Pollution Control Financing Authority,
   PCR, Refunding, VRDN
   (Public Service Electric and Gas)
   2.80% (BPA; Union Bank of Switzerland and Insured; MBIA)                    5,700,000 (a)  5,700,000

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

   (American Cyanamid) 2.75% (LOC; American Home Products)                     4,100,000 (a)  4,100,000

Trenton, BAN 3.50%, 5/19/2000                                                                 2,700,000  2,705,550
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS (cost $109,251,395)                                              97.6%    109,251,395

CASH AND RECEIVABLES (NET)                                                          2.4%      2,694,947

NET ASSETS                                                                        100.0%    111,946,342

                                                                                           The Portfolio
</TABLE>
<TABLE>
<CAPTION>

Summary of Abbreviations

<S>            <C>                                        <C>          <C>
AMBAC           American Municipal Bond                    MBIA         Municipal Bond Investors Assurance

                   Assurance Corporation                                   Insurance Corporation

BAN             Bond Anticipation Notes                    PCR          Pollution Control Revenue

BPA             Bond Purchase Agreement                    SBPA         Standby Bond Purchase Agreement

EDR             Economic Development Revenue               TAN          Tax Anticipation Notes

FGIC            Financial Guaranty Insurance Company       VRDN         Variable Rate Demand Notes

LOC             Letter of Credit
</TABLE>
<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                87.5

AAA/AA( b)                       AAA/AA (b)                      AAA/AA (b)                      4.9

Not Rated (c)                    Not Rated (c)                   Not Rated (c)                   7.6

                                                                                               100.0
</TABLE>


(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 PORTFOLIO MAY INVEST.

SEE NOTES TO FINANCIAL STATEMENTS.



STATEMENT OF ASSETS AND LIABILITIES

August 31, 1999

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

ASSETS ($):

Investments in securities--See Statement of
Investments                                           109,251,395   109,251,395

Cash                                                                  2,150,697

Interest receivable                                                     597,456

Prepaid expenses                                                          4,739

                                                                    112,004,287
- -------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                            28,091

Accrued expenses                                                         29,854

                                                                         57,945
- -------------------------------------------------------------------------------

NET ASSETS ($)                                                     111,946,342
- -------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     111,950,221

Accumulated net realized gain (loss) on investments                     (3,879)
- -------------------------------------------------------------------------------

NET ASSETS ($)                                                      111,946,342
- -------------------------------------------------------------------------------

SHARES OUTSTANDING

(1 billion shares of $.001 par value Common Stock authorized)       111,950,221

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

SEE NOTES TO FINANCIAL STATEMENTS.

                                                       The Portfolio


STATEMENT OF OPERATIONS

Year Ended August 31, 1999


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

INVESTMENT INCOME ($):

INTEREST INCOME                                                      3,519,579

EXPENSES:

Management fee--Note 2(a)                                              579,189

Shareholder servicing costs--Note 2(b)                                 105,201

Professional fees                                                       23,052

Registration fees                                                       18,452

Custodian fees                                                          11,813

Prospectus and shareholders' reports                                     6,893

Directors' fees and expenses--Note 2(c)                                  2,234

Miscellaneous                                                            6,140

TOTAL EXPENSES                                                         752,974

Less--reduction in management fee due to
   undertaking--Note 2(a)                                             (231,113)

NET EXPENSES                                                           521,861

INVESTMENT INCOME--NET                                               2,997,718
- -------------------------------------------------------------------------------

NET REALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 1(B) ($)                    (400)

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                  2,997,318

SEE NOTES TO FINANCIAL STATEMENTS.



STATEMENT OF CHANGES IN NET ASSETS

                                                      Year Ended August 31,
                                               --------------------------------

                                                     1999                1998
- -------------------------------------------------------------------------------


OPERATIONS ($):

Investment income--net                           2,997,718          3,819,515

Net realized gain (loss) on investments               (400)            (3,479)

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                    2,997,318           3,816,036
- -------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

INVESTMENT INCOME--NET                          (2,997,718)        (3,819,515)
- -------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($1.00 per share) ($):

Net proceeds from shares sold                   69,013,860         79,800,472

Dividends reinvested                             2,911,992          3,709,795

Cost of shares redeemed                        (78,601,601)      (101,437,681)

INCREASE (DECREASE) IN NET ASSETS
   FROM CAPITAL STOCK TRANSACTIONS              (6,675,749)       (17,927,414)

TOTAL INCREASE (DECREASE) IN NET ASSETS         (6,676,149)       (17,930,893)
- -------------------------------------------------------------------------------

NET ASSETS ($):

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

END OF PERIOD                                  111,946,342        118,622,491

SEE NOTES TO FINANCIAL STATEMENTS.

                                                       The Portfolio
<TABLE>
<CAPTION>


FINANCIAL HIGHLIGHTS

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

                                                                      Year Ended August 31,
                                                              ---------------------------------

                                                              1999      1998    1997    1996(a)
- ------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

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

Investment Operations:

Investment income--net                                        .026      .030      .031      .025

Distributions:

Dividends from investment income--net                        (.026)    (.030)    (.031)    (.025)

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

TOTAL RETURN (%)                                              2.62      3.01      3.17      3.38(b)
- ------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

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

Ratio of net investment income

   to average net assets                                      2.59      2.97      3.12     3.25(b)

Decrease reflected in above expense ratios

   due to undertakings by the Manager                          .20      .19       .27       .68(b)
- ------------------------------------------------------------------------------------------------------------

Net Assets, end of period ($ x 1,000)                      111,946  118,622   136,553   100,248

(A)  FROM DECEMBER 1, 1995 (COMMENCEMENT OF OPERATIONS) TO AUGUST 31, 1996.
(B)  ANNUALIZED.
</TABLE>

SEE NOTES TO FINANCIAL STATEMENTS.




NOTES TO FINANCIAL STATEMENTS

NOTE 1--Significant Accounting Policies:

Dreyfus BASIC New Jersey Municipal Money Market Portfolio (the "portfolio") is a
separate  non-diversified  series  of  Dreyfus  BASIC  Municipal Fund, Inc. (the
"fund") 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 portfolio. The
portfolio'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 portfolio's investment adviser. The
Manager  is  a  direct  subsidiary  of  Mellon  Bank,  N.A.  Premier Mutual Fund
Services,  Inc.  is the distributor of the portfolio's shares, which are sold to
the public without a sales charge.

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

It  is the portfolio's policy to maintain a continuous net asset value per share
of  $1.00; the portfolio has adopted certain investment, portfolio valuation and
dividend and distribution policies to enable it to do so. There is no assurance,
however,  that  the  portfolio will be able to maintain a stable net asset value
per share of $1.00.

The  portfolio' 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 portfolio'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     The    Portfolio

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

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 portfolio received net earnings
credits  of  $13,002  during the period ended August 31, 1999 based on available
cash  balances left on deposit. Income earned under this arrangement is included
in interest income.

The  portfolio  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 portfolio.

(C)  DIVIDENDS  TO  SHAREHOLDERS:  It  is the policy of the portfolio 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 portfolio 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 portfolio not to
distribute such gain.

(D)  FEDERAL  INCOME  TAXES:  It  is  the policy of the portfolio 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  portfolio  has  an  unused  capital  loss carryover of $3,479 available for
Federal income tax purposes to be applied against future net securities profits,
if  any  realized subsequent to August 31, 1999. 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, $352
of carryover expires in fiscal 2006 and $3,127 expires in fiscal 2007.

At  August 31, 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 portfolio'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  portfolio,  to  the extent that the
portfolio' 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  portfolio's average daily net assets. The
reduction  in  management fee, pursuant to the undertaking, amounted to $231,113
during the period ended August 31, 1999.

(B)  Under  the  Shareholder  Services  Plan,  the  portfolio 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 portfolio'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 portfolio and providing reports and other information,
and  services  related  to  the  maintenance of shareholder accounts. During the
period  ended August 31, 1999, the portfolio was charged $91,287 pursuant to the
Shareholder Services Plan.

The  portfolio  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 portfolio. During the
period  ended  August 31, 1999, the portfolio was charged $8,776 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 and an attendance fee of $250 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

                                                       The Portfolio

REPORT OF INDEPENDENT AUDITORS

Shareholders and Board of Directors

Dreyfus BASIC New Jersey Municipal Money Market Portfolio

We  have audited the accompanying statement of assets and liabilities, including
the statement of investments, of Dreyfus BASIC New Jersey Municipal Money Market
Portfolio (one of the Series constituting Dreyfus BASIC Municipal Fund, Inc.) as
of  August  31,  1999, 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 Portfolio 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  and  financial  highlights.  Our procedures included confirmation of
securities  owned as of August 31, 1999 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
Dreyfus  BASIC  New  Jersey Municipal Money Market Portfolio at August 31, 1999,
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.


New York, New York

October 4, 1999



IMPORTANT TAX INFORMATION (Unaudited)

In  accordance  with  Federal  tax  law, the portfolio hereby designates all the
dividends  paid  from  investment income-net during the fiscal year ended August
31,  1999  as exempt-interest dividends (not subject to regular Federal and, for
individuals who are New Jersey residents, New Jersey personal income taxes).

                                                       The Portfolio


                                                           For More Information

                        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

100 Church Street

New York, NY 10286

Transfer Agent &

Dividend Disbursing Agent

Dreyfus Transfer, Inc.

P.O. Box 9671

Providence, RI 02940

Distributor

Premier Mutual Fund Services, Inc.

60 State Street

Boston, MA 02109

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) 1999 Dreyfus Service Corporation                                  127AR998





                                                               November 1, 1999



Office of Records
Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, DC 20549

Re:   Dreyfus BASIC Municipal Fund, Inc.:  Dreyfus BASIC Municipal Money
       Market Portfolio   File No. 811-6377


Gentlemen:

      Transmitted for filing is one (1) copy of the Annual Report to
Shareholders for the above-referenced Portfolio, as of August 31, 1999, filed in
compliance with the provisions of Section 30 of the Investment Company Act of
1940.



                                          Very truly yours,


                                          Christine Brennan



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