DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
N-30D, 2000-07-24
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Dreyfus

New York Tax Exempt

Intermediate

Bond Fund

ANNUAL REPORT May 31, 2000

(reg.tm)





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

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


                                 Contents

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

                             2   Letter from the President

                             3   Discussion of Fund Performance

                             6   Fund Performance

                             7   Statement of Investments

                            14   Statement of Assets and Liabilities

                            15   Statement of Operations

                            16   Statement of Changes in Net Assets

                            17   Financial Highlights

                            18   Notes to Financial Statements

                            23   Report of Independent Auditors

                            24   Important Tax Information

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

                                 Back Cover

                                                                       The Fund

                                                               Dreyfus New York

                                                        Tax Exempt Intermediate

                                                                Bond Fund, Inc.

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to  present this annual report for Dreyfus New York Tax Exempt
Intermediate  Bond  Fund, covering the 12-month period from June 1, 1999 through
May  31,  2000.  Inside, you'll find valuable information about how the fund was
managed  during  the  reporting  period,  including a discussion with the fund's
portfolio    manager,    Monica    Wieboldt.

When  the reporting period began, evidence had emerged that the U.S. economy was
growing  strongly  in  an  environment  characterized by high levels of consumer
spending  and  low  levels of unemployment. Concerns that inflationary pressures
might  reemerge  caused  the  Federal Reserve Board to raise short-term interest
rates  six  times  during  the  reporting  period,  for a total increase of 1.75
percentage  points.  Despite  an  encouraging  rally during the first quarter of
2000,  higher  interest  rates  generally  led  to  an erosion of municipal bond
prices.

We  appreciate  your  confidence  over the past year and we look forward to your
continued  participation  in Dreyfus New York Tax Exempt Intermediate Bond Fund

Sincerely,


Stephen E. Canter

President and Chief Investment Officer

The Dreyfus Corporation

June 15, 2000




DISCUSSION OF FUND PERFORMANCE

Monica Wieboldt, Portfolio Manager

How did Dreyfus New York Tax Exempt Intermediate Bond Fund perform during the
period?

For  the  12-month  reporting  period  ended  May 31, 2000, Dreyfus New York Tax
Exempt  Intermediate Bond Fund achieved a -0.89% total return.(1) In comparison,
the fund's peer group, as measured by the Lipper New York Intermediate Municipal
Debt  Funds  category  average,  achieved  a  -0.67%  total  return for the same
period.(2)

We  attribute the fund's performance to a difficult investment environment. More
specifically,  the  fund was negatively influenced by higher interest rates when
the Federal Reserve Board (the "Fed") tightened monetary policy six times during
the reporting period in an attempt to relieve inflationary pressures.

What is the fund's investment approach?

The  fund's primary objective is to seek a high level of federal, New York state
and  New  York  City tax-exempt income as is consistent with the preservation of
capital from a portfolio of municipal bonds. In addition, we also seek to manage
the fund for a competitive total return.

In  managing  the  fund,  we  attempt to add value by selecting investment-grade
tax-exempt  bonds  in  the  maturity  ranges  that we believe are most likely to
provide  the highest yields. These bonds comprise the portfolio's core position.
We  augment  the  core position with bonds that we believe have the potential to
provide both current income and the potential for capital appreciation.

What other factors influenced the fund's performance?

As mentioned earlier, the fund was influenced by changing market conditions over
the  past  year.  Although  the first quarter of 2000 experienced an encouraging
municipal bond market rally, most of 1999 and the two months following the first
quarter of 2000 saw more difficult investment environments.

                                                             The Fund


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

When  the reporting period began on June 1, 1999, investors had become concerned
that  strong economic growth might rekindle long-dormant inflationary pressures,
especially  wages  in  a tight job market. In an attempt to ease these pressures
and  forestall a reacceleration of inflation, the Fed raised short-term interest
rates  six  times during the reporting period, causing most bond prices to fall,
including  those  of  many  of  the  fund' s holdings. These interest-rate hikes
accounted for a total increase of 1.75 percentage points since mid-1999.

In  addition,  municipal  bond  prices fell because of adverse supply-and-demand
influences.  For a variety of reasons, institutional investors such as insurance
companies have recently participated less in the tax-exempt bond market. Despite
strong  demand  from  individual  investors, the absence of institutional buyers
helped  reduce  overall demand and, therefore, drove municipal bond prices down,
including    those    of    many    of    the    fund'   s    holdings.

During  the  first  few  months  of  2000,  however, issuance of municipal bonds
nationally  declined  sharply compared to the same period one year ago. Although
New  York  is considered a high-issuance state, the supply of newly issued bonds
declined there as well. Some New York municipalities that refinanced bond issues
during  the  low  interest-rate  environment  over  the  past  several years are
expected  to be absent from this year's municipal bond marketplace. As a result,
when  compared  to  other  states,  we believe that New York bonds are currently
trading at attractive levels.

What is the fund's current strategy?

We  began  to adopt a more defensive posture toward the end of 1999, and we have
generally  maintained  that  posture  through  the  end of the reporting period.
That' s  because we anticipated the Fed's May 16, 2000 interest-rate hike, which
at  0.50  percentage  points was particularly severe. However, we are aware that
one or more rate hikes may be implemented in the near future should inflationary
fears persist.


During  the  reporting  period  we  saw  the  market  go through several cycles.
Accordingly,  we  focused  on maintaining or shortening the fund's duration when
possible, reducing our exposure to discount positions as the market rose and, as
the  effects  of  rate  increases filtered through the market, we were given the
opportunity   to   add  issues  with  strong  income  characteristics  and  call
protection.

From  a  security  selection  perspective, we have reduced our holdings of bonds
that  carry the risk of early redemption within the next 10 years. This strategy
was  designed  to  protect  the  fund' s income stream by locking in competitive
yields  for  a longer period. We also increased our vigilance with regard to the
credit  quality  of our holdings, focusing on highly rated bonds that are backed
by  specific  revenue  streams.  We also favor general obligation bonds that are
backed by their issuers' general taxing authority.

June 15, 2000

(1)  TOTAL RETURN INCLUDES REINVESTMENT OF DIVIDENDS AND ANY CAPITAL GAINS PAID.
PAST PERFORMANCE IS NO GUARANTEE OF FUTURE RESULTS. SHARE PRICE, YIELD AND
INVESTMENT RETURN FLUCTUATE SUCH THAT UPON REDEMPTION, FUND SHARES MAY BE WORTH
MORE OR LESS THAN THEIR ORIGINAL COST. INCOME MAY BE SUBJECT TO STATE AND LOCAL
TAXES FOR NON-NEW YORK RESIDENTS, AND SOME INCOME MAY BE SUBJECT TO THE FEDERAL
ALTERNATIVE MINIMUM TAX (AMT) FOR CERTAIN INVESTORS. CAPITAL GAINS, IF ANY, ARE
FULLY TAXABLE. RETURN FIGURES PROVIDED REFLECT THE ABSORPTION OF FUND EXPENSES
BY THE DREYFUS CORPORATION PURSUANT TO AN UNDERTAKING IN EFFECT THAT MAY BE
EXTENDED, TERMINATED OR MODIFIED AT ANY TIME. HAD THESE EXPENSES NOT BEEN
ABSORBED, THE FUND'S RETURN WOULD HAVE BEEN LOWER.

(2)  SOURCE: LIPPER ANALYTICAL SERVICES, INC.

                                                             The Fund
<TABLE>
<CAPTION>

FUND PERFORMANCE

Comparison of change in value of $10,000 investment in Dreyfus New York Tax
Exempt Intermediate Bond Fund and the Lehman Brothers 10-Year Municipal Bond
Index
--------------------------------------------------------------------------------

Average Annual Total Returns AS OF 5/31/00

                                                                               1 Year             5 Years          10 Years
------------------------------------------------------------------------------------------------------------------------------------

<S>                                                                            <C>                 <C>               <C>
FUND                                                                           (0.89)%             4.30%             6.14%
</TABLE>

((+))  SOURCE: LIPPER ANALYTICAL SERVICES, INC.

PAST PERFORMANCE IS NOT PREDICTIVE OF FUTURE PERFORMANCE.

THE ABOVE GRAPH COMPARES A $10,000 INVESTMENT MADE IN DREYFUS NEW YORK TAX
EXEMPT INTERMEDIATE BOND FUND ON 5/31/90 TO A $10,000 INVESTMENT MADE IN THE
LEHMAN BROTHERS 10-YEAR MUNICIPAL BOND INDEX ON THAT DATE. ALL DIVIDENDS AND
CAPITAL GAIN DISTRIBUTIONS ARE REINVESTED.

THE FUND INVESTS PRIMARILY IN NEW YORK MUNICIPAL SECURITIES AND MAINTAINS A
PORTFOLIO WITH A WEIGHTED-AVERAGE MATURITY RANGING BETWEEN 3 AND 10 YEARS. THE
FUND'S PERFORMANCE SHOWN IN THE LINE GRAPH TAKES INTO ACCOUNT FEES AND EXPENSES.
THE LEHMAN BROTHERS 10-YEAR MUNICIPAL BOND INDEX IS NOT LIMITED TO INVESTMENTS
PRINCIPALLY IN NEW YORK MUNICIPAL OBLIGATIONS AND DOES NOT TAKE INTO ACCOUNT
CHARGES, FEES AND OTHER EXPENSES. THE LEHMAN BROTHERS 10-YEAR MUNICIPAL BOND
INDEX, UNLIKE THE FUND, IS AN UNMANAGED TOTAL RETURN PERFORMANCE BENCHMARK FOR
THE INVESTMENT-GRADE, GEOGRAPHICALLY UNRESTRICTED 10-YEAR TAX-EXEMPT BOND
MARKET, CONSISTING OF MUNICIPAL BONDS WITH MATURITIES OF 9-12 YEARS. THESE
FACTORS, COUPLED WITH THE POTENTIALLY LONGER MATURITY OF THE INDEX, CAN
CONTRIBUTE TO THE INDEX POTENTIALLY OUTPERFORMING OR UNDERPERFORMING THE FUND.
FURTHER INFORMATION RELATING TO FUND PERFORMANCE, INCLUDING EXPENSE
REIMBURSEMENTS, IF APPLICABLE, IS CONTAINED IN THE FINANCIAL HIGHLIGHTS SECTION
OF THE PROSPECTUS AND ELSEWHERE IN THIS REPORT.

<TABLE>
<CAPTION>



STATEMENT OF INVESTMENTS

May 31, 2000

                                                                                             Principal

LONG-TERM MUNICIPAL INVESTMENTS--97.2%                                                      Amount ($)               Value ($)
------------------------------------------------------------------------------------------------------------------------------------

NEW YORK--92.3%

Albany Parking Authority, Parking Revenue

<S>                                                                                          <C>                     <C>
   6.50%, 11/1/2004                                                                           1,000,000               1,031,770

Battery Park City Authority, Revenue

   5.125%, 11/1/2005                                                                          3,330,000               3,312,751

Buffalo Municipal Water Finance Authority,
   Water System Revenue

   5.50%, 7/1/2005 (Insured; FSA)                                                             1,200,000                1,214,508

Cattaraugus County Industrial Development Agency,

  Civic Facility Revenue (St. Bonaventure University Project):

      5%, Series A, 9/15/2009                                                                   745,000                  685,236

      5%, Series B, 9/15/2009                                                                 1,055,000                  970,368

      5%, Series A, 9/15/2010                                                                   740,000                  672,334

      5%, Series B, 9/15/2010                                                                 1,110,000                1,008,502

      5%, Series A, 9/15/2011                                                                   825,000                  740,124

      5%, Series B, 9/15/2011                                                                 1,160,000                1,040,659

      5%, 9/15/2012                                                                           1,225,000                1,085,730

City University of New York, COP (John Jay College)

   5.75%, 8/15/2004                                                                           5,000,000                5,067,400

Franklin Solid Waste Management Authority,
   Solid Waste System Revenue

   6%, 6/1/2005 (Prerefunded 6/1/2003)                                                        1,515,000  (a)           1,580,175

Huntington Housing Authority, Senior Housing Facility Revenue

   (Gurwin Jewish Senior Residences) 5.50%, 5/1/2009                                          2,660,000                2,434,937

Metropolitan Transportation Authority

  Transit Facilities Revenue:

      5.50%, 7/1/2008 (Insured; MBIA)                                                         4,380,000                4,409,171

      5.625%, 7/1/2010 (Insured; MBIA)                                                        4,895,000                4,935,531

      5.125%, 7/1/2014 (Insured; FSA)                                                         5,650,000                5,309,361

Nassau County:

   General Improvement 5.10%, 11/1/2011 (Insured; AMBAC)                                      3,725,000                3,581,699

   5.75%, 3/1/2013 (Insured; FSA)                                                             4,955,000                4,952,275

Nassau County Health Care Corp.,

   Health System Revenue 6%, 8/1/2012 (Insured; FSA)                                          4,000,000                4,139,560

Nassau County Tobacco Settlement Corporation

   5%, 7/15/2008                                                                              1,385,000                1,368,103

New York City:

   6.25%, 8/1/2009                                                                            7,860,000                8,178,524

   5.125%, 8/1/2012 (Insured; FGIC)                                                           4,250,000                4,057,050

   4.875%, 8/1/2014 (Insured; FGIC)                                                           3,345,000                3,020,100

New York City Housing Authority, Multi-Family Revenue

   5.20%, 7/1/2004 (Insured; AMBAC)                                                           2,275,000                2,255,208

                                                                                                     The Fund


STATEMENT OF INVESTMENTS (CONTINUED)

                                                                                              Principal

LONG-TERM MUNICIPAL INVESTMENTS (CONTINUED)                                                  Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

NEW YORK (CONTINUED)

New York City Industrial Development Agency,

  Industrial Development Revenue
  (Field Hotel Associates L.P. JFK Project)

   5.80%, 11/1/2013                                                                           6,000,000               5,367,660

New York City Transitional Finance Authority,
   Revenue (Future Tax Secured):

      5.25%, 11/15/2013                                                                       3,000,000               2,872,890

      5%, 11/1/2015 (Insured; FGIC)                                                           4,000,000               3,662,800

New York City Industrial Development Agency,

  Civic Facility Revenue (College of Aeronautics Project):

      5.10%, 5/1/2008                                                                           500,000                 471,790

      5.25%, 5/1/2010                                                                           555,000                 519,269

      5.30%, 5/1/2011                                                                           585,000                 545,103

New York State:

   COP 4.40%, 8/1/2003                                                                        2,355,000               2,282,537

   5.50%, 8/15/2006                                                                           4,300,000               4,350,267

   5.40%, 10/1/2008                                                                           1,430,000               1,436,335

New York State Dormitory Authority, Revenue:

   (Carmel Richmond Nursing Home)
      5%, 7/1/2015 (LOC; Allied Irish Bank PLC)                                               2,000,000               1,760,660

   (City University):

      5.70%, 7/1/2005                                                                         3,500,000               3,537,450

      5.25%, 7/1/2006 (Insured; FGIC)                                                         3,000,000               3,008,370

      5.75%, 7/1/2009 (Insured; FGIC)                                                         8,085,000               8,271,036

   (Cornell University) 5.40%, 7/1/2009                                                       4,000,000               4,008,880

   (Department of Health):

      5.50%, 7/1/2005                                                                         1,000,000               1,001,480

      6%, 7/1/2005                                                                            2,500,000               2,551,875

      6%, 7/1/2006                                                                            2,350,000               2,400,807

   Lease (Court Facilities--Westchester County) 5%, 8/1/2010                                  5,570,000               5,373,825

   (FFT Senior Communities Inc.) 5.70%, 7/1/2029
      (LOC; KBC Bank, N.V.)                                                                   2,100,000               2,099,034

   (Highland Community Development Corp.)

      5.50%, 7/1/2001 (LOC; HSBC)                                                             4,660,000               4,648,630

   (Mental Health Services Facilities) 6%, 8/15/2006                                          3,320,000               3,392,841

   (Schools Program):

      5.25%, 7/1/2009 (Insured; MBIA)                                                         2,475,000               2,440,647

      5.25%, 7/1/2010 (Insured; MBIA)                                                         1,670,000               1,648,724

      5.25%, 7/1/2011                                                                         1,435,000               1,365,991

   Secured Hospital:

      (Bronx-Lebanon Hospital Center)

         5.10%, 2/15/2012 (Insured; MBIA)                                                     2,475,000               2,349,815

      (Interfaith Medical Center)

         5.375%, 2/15/2012 (Insured; MBIA)                                                    3,340,000               3,254,830



                                                                                              Principal

LONG-TERM MUNICIPAL INVESTMENTS (CONTINUED)                                                  Amount ($)               Value ($)
------------------------------------------------------------------------------------------------------------------------------------

NEW YORK (CONTINUED)

New York State Dormitory Authority, Revenue (continued):

  (State Service Contract--Albany County):

      5.10%, 4/1/2010                                                                         2,310,000                2,190,088

      5.25%, 4/1/2011                                                                         1,210,000                1,152,706

   (State University Educational Facilities):

      6.10%, 5/15/2008 (Prerefunded 5/15/2004)                                                2,000,000  (a)           2,112,400

      5%, 5/15/2014 (Insured; MBIA)                                                           1,500,000                1,390,965

   (Terence Cardinal Cooke Health) 4.50%, 7/1/2010                                            3,500,000                3,227,105

New York State Energy Research and Development Authority,

  State Service Contract Revenue
  (Western New York Nuclear Service Center Project):

      5.25%, 4/1/2003 (Insured; CMAC)                                                         5,345,000                5,364,830

      5.40%, 4/1/2005 (Insured; CMAC)                                                         2,000,000                2,016,320

New York State Environmental Facilities Corp.:

  Special Obligation:

      (Riverbank State Park) 7.10%, 4/1/2002                                                  1,130,000                1,173,889

      (State Park Infrastructure) 5.75%, 3/15/2008                                            2,475,000                2,487,697

   PCR (State Water Revolving Fund):

      6.20%, 3/15/2004                                                                        1,700,000                1,753,499

      6.35%, 6/15/2006 (Prerefunded 6/15/2004)                                                1,195,000  (a)           1,266,509

New York State Housing Finance Agency, Revenue:

  (Housing Mortgage Project)

      5.875%, 11/1/2010 (Insured; FSA)                                                        3,930,000                4,013,237

   (Service Contract Obligation):

      5.25%, 3/15/2011                                                                        3,465,000                3,301,417

      5.25%, 9/15/2011                                                                        3,610,000                3,433,940

      5.875%, 9/15/2014                                                                       3,000,000                2,985,360

New York State Local Government Assistance Corp.:

   5.125%, 4/1/2013 (Insured; MBIA)                                                           3,000,000                2,848,170

   5.375%, 4/1/2014                                                                           3,000,000                2,889,240

New York State Medical Care Facilities Finance Agency, Revenue

  (Hospital and Nursing Home)

   5.875%, 2/15/2008 (Insured; FHA)                                                           2,000,000                2,037,160

New York State Mortgage Agency, Revenue

   (Homeowner Mortgage) 6.15%, 10/1/2001                                                      1,225,000                1,237,863

New York State Thruway Authority:

  (Highway and Bridge Trust Fund):

      5.25%, 4/1/2009 (Insured; FGIC)                                                         4,500,000                4,463,640

      5.30%, 4/1/2010 (Insured; AMBAC)                                                        1,680,000                1,666,291

      5.25%, 4/1/2014 (Insured; FGIC)                                                         4,425,000                4,225,654

      5.125%, 4/1/2015 (Insured; MBIA)                                                        3,500,000                3,268,475

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

                                                                                              Principal

LONG-TERM MUNICIPAL INVESTMENTS (CONTINUED)                                                  Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

NEW YORK (CONTINUED)

New York State Thruway Authority (continued):

  Service Contract Revenue (Local Highway and Bridge):

      5.625%, 4/1/2007                                                                        3,315,000                3,335,255

      5.90%, 4/1/2007                                                                         7,000,000                7,150,290

New York State Urban Development Corp.

  Project (Onondaga County Convention):

      6.25%, 1/1/2007                                                                         1,725,000                1,789,291

      6.25%, 1/1/2008                                                                         1,830,000                1,901,992

      6.25%, 1/1/2009                                                                         1,950,000                2,020,629

      6.25%, 1/1/2010                                                                         2,065,000                2,132,092

Niagara Falls, City School District COP

  High School Facility

   5.625%, 6/15/2013 (Insured; MBIA)                                                          2,045,000                2,035,613

Oneida County Public Improvement

   Zero Coupon, 4/15/2014 (Insured; AMBAC)                                                    1,000,000                  445,460

Onondaga County Industrial Development Agency, PCR

   (Anheuser-Busch Co. Inc. Project) 6.625%, 8/1/2006                                         4,000,000                4,212,000

Orange County Industrial Development Agency,

  Life Care Community Revenue (The Glen Arden Inc. Project):

      4.90%, 1/1/2002                                                                           285,000                  280,295

      5%, 1/1/2003                                                                              220,000                  213,902

      5.10%, 1/1/2004                                                                           425,000                  407,690

      5.20%, 1/1/2005                                                                           225,000                  213,689

      5.30%, 1/1/2006                                                                           250,000                  235,210

      5.35%, 1/1/2007                                                                           225,000                  209,232

Port Authority of New York and New Jersey

   (Construction-119th Series)
   5.75%, 9/15/2011 (Insured; FGIC)                                                           3,500,000                3,542,210

Rensselaer Industrial Development Agency, IDR
   (Albany International Corp.)

   7.55%, 6/1/2007 (LOC; Fleet Trust Co.)                                                     2,000,000                2,204,840

Scotia Housing Authority, Revenue

  (Coburg Village, Inc. Project):

      5%, 1/1/2001                                                                              130,000                  129,464

      5.10%, 7/1/2001                                                                           135,000                  133,828

      5.10%, 1/1/2002                                                                           135,000                  133,126

      5.20%, 7/1/2002                                                                           145,000                  142,489

      5.20%, 1/1/2003                                                                           145,000                  141,690

      5.30%, 7/1/2003                                                                           150,000                  145,953

      5.30%, 1/1/2004                                                                           155,000                  149,694

      5.35%, 7/1/2004                                                                           155,000                  149,051

      5.35%, 1/1/2005                                                                           160,000                  152,907

      5.40%, 7/1/2005                                                                           165,000                  157,021


                                                                                              Principal

LONG-TERM MUNICIPAL INVESTMENTS (CONTINUED)                                                  Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

NEW YORK (CONTINUED)

Scotia Housing Authority, Revenue (continued)
  (Coburg Village, Inc. Project) (continued):

      5.40%, 1/1/2006                                                                           170,000                 160,727

      5.45%, 7/1/2006                                                                           175,000                 164,771

      5.45%, 1/1/2007                                                                           180,000                 168,332

      5.50%, 7/1/2007                                                                           185,000                 172,313

      5.50%, 1/1/2008                                                                           190,000                 175,518

      5.55%, 7/1/2008                                                                           195,000                 179,382

Suffolk County Industrial Development Agency:

   IDR (Nissequoque Cogen Partners Facility)
      4.875%, 1/1/2008                                                                        2,250,000                2,059,290

   Solid Waste Disposal Facility Revenue:

      6.48%, 10/1/2004 (Insured; AMBAC)                                                       4,270,000  (b)           4,377,433

      6.67%, 10/1/2005                                                                        4,590,000  (b)           4,756,020

Suffolk County Judicial Facilities Agency,

  Service Agreement Revenue

   (John P Cohalan Complex)
   5%, 4/15/2016 (Insured; AMBAC)                                                             2,720,000                2,476,288

Syracuse:

   COP (Syracuse Hancock International Airport)
      6.50%, 1/1/2004                                                                         1,045,000                1,075,942

   Public Improvement:

      5.70%, 6/15/2004 (Prerefunded 6/15/2002)                                                1,850,000  (a)           1,909,200

      5.70%, 6/15/2005 (Prerefunded 6/15/2002)                                                1,830,000  (a)           1,888,560

Syracuse Industrial Development Agency, Pilot Revenue

   5.125%, 10/15/2002 (LOC; ABN AMRO Bank)                                                    2,405,000                2,401,128

Triborough Bridge & Tunnel Authority,

   Special Obligation 5.125%, 1/1/2015 (Insured; MBIA)                                        3,000,000                2,803,770

TSASC Inc.,Tobacco Flexible Amortization Bonds:

   5.25%, 7/15/2011                                                                           2,675,000                2,599,164

   5.375%, 7/15/2012                                                                          2,440,000                2,365,922

   6%, 7/15/2018                                                                              1,670,000                1,654,402

United Nations Development Corp. (Senior Lien):

   5.30%, 7/1/2010                                                                            1,175,000                1,138,657

   5.30%, 7/1/2011                                                                              910,000                  873,345

Westchester County Industrial Development Agency, RRR:

   Equity (Westchester Resco Co. Project) 5.50%, 7/1/2009                                     2,650,000                2,372,783

   (Resco Co. Project) 5.50%, 7/1/2006 (Insured; AMBAC)                                       2,850,000                2,882,860

   (Westchester Resco Co. Project) 5.125%, 7/1/2006
      (Insured; AMBAC)                                                                        1,000,000                  986,110

Yonkers GO

   5.25%, 12/1/2015 (Insured; AMBAC)                                                          2,110,000                1,995,490

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

                                                                                              Principal

LONG-TERM MUNICIPAL INVESTMENTS (CONTINUED)                                                  Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

U.S. RELATED--4.9%

Commonwealth of Puerto Rico

   Improvement 5.375%, 7/1/2005                                                               2,250,000                2,273,783

Puerto Rico Telephone Authority, Revenue

   5.755%, 1/25/2007 (Insured; MBIA)
   (Prerefunded 1/1/2003)                                                                     3,925,000  (a,b)         3,974,063

Virgin Islands Public Finance Authority, Revenue

   Fund Loan Notes, Senior Lien 5.50%, 10/1/2004                                              3,000,000                2,992,320

Virgin Islands Water and Power Authority, Electric System:

   5.125%, 7/1/2004                                                                           1,455,000                1,428,970

   5.125%, 7/1/2011                                                                           4,230,000                4,017,612

TOTAL LONG-TERM MUNICIPAL INVESTMENTS

   (cost $296,809,126)                                                                                               292,270,145
------------------------------------------------------------------------------------------------------------------------------------

SHORT-TERM MUNICIPAL INVESTMENTS--1.1%
------------------------------------------------------------------------------------------------------------------------------------

New York City GO, VRDN 4.45% (Insured; FGIC)

   (cost $3,200,000)                                                                          3,200,000  (c)           3,200,000
------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS

   (cost $300,009,126)                                                                            98.3%              295,470,145

CASH AND RECEIVABLES (NET)                                                                         1.7%                5,158,612

NET ASSETS                                                                                       100.0%              300,628,757

</TABLE>

Summary of Abbreviations

AMBAC                American Municipal Bond
                         Assurance Corporation
CMAC                 Capital Market Assurance

                         Corporation

COP                  Certificate of Participation

FGIC                 Financial Guaranty Insurance

                         Company

FHA                  Federal Housing Administration

FSA                  Financial Security Assurance

GO                   General Obligation

IDR                  Industrial Development Revenue

LOC                  Letter of Credit

MBIA                 Municipal Bond Investors

                         Assurance Insurance Corporation

PCR                  Pollution Control Revenue

RRR                  Resources Recovery Revenue

VRDN                 Variable Rate Demand Notes
<TABLE>
<CAPTION>

Summary of Combined Ratings (Unaudited)

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

<S>                              <C>                             <C>                                              <C>
AAA                              Aaa                             AAA                                              42.6

AA                               Aa                              AA                                               15.1

A                                A                               A                                                27.6

BBB                              Baa                             BBB                                               6.9

F1                               MIG1/P1                         SP1/A1                                            2.6

Not Rated (d)                    Not Rated (d)                   Not Rated (d)                                     5.2

                                                                                                                 100.0

(A)  BONDS WHICH ARE PREREFUNDED ARE COLLATERALIZED BY U.S. GOVERNMENT
SECURITIES WHICH ARE HELD IN ESCROW AND ARE USED TO PAY PRINCIPAL AND INTEREST
ON THE MUNICIPAL ISSUE AND TO RETIRE THE BONDS IN FULL AT THE EARLIEST REFUNDING
DATE.

(B)  INVERSE FLOATER SECURITY--THE INTEREST RATE IS SUBJECT TO CHANGE
PERIODICALLY.

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

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

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund



STATEMENT OF ASSETS AND LIABILITIES

May 31, 2000

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

ASSETS ($):

Investments in securities--See Statement of
Investments                                           300,009,126   295,470,145

Cash                                                                    864,233

Interest receivable                                                   4,675,868

Prepaid expenses                                                          4,337

                                                                    301,014,583
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                           199,776

Payable for shares of Beneficial Interest redeemed                      138,356

Accrued expenses                                                         47,694

                                                                        385,826
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      300,628,757
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     306,372,037

Accumulated net realized gain (loss) on investments                 (1,204,299)

Accumulated net unrealized appreciation (depreciation)

   on investments--Note 4                                           (4,538,981)
--------------------------------------------------------------------------------

NET ASSETS ($)                                                     300,628,757
--------------------------------------------------------------------------------

SHARES OUTSTANDING

(unlimited number of $.001 par value shares of Beneficial Interest authorized)
                                                                     17,457,000

NET ASSET VALUE, offering and redemption price per share--Note 3(d) ($)
                                                                          17.22

SEE NOTES TO FINANCIAL STATEMENTS.



STATEMENT OF OPERATIONS

Year Ended May 31, 2000

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                     17,541,572

EXPENSES:

Management fee--Note 3(a)                                            1,972,728

Shareholder servicing costs--Note 3(b)                               1,000,852

Professional fees                                                       40,105

Trustees' fees and expenses--Note 3(c)                                  37,955

Custodian fees                                                          33,371

Prospectus and shareholders' reports--Note 3(b)                         14,724

Registration fees                                                        7,045

Loan commitment fees--Note 2                                             3,549

Miscellaneous                                                           32,523

TOTAL EXPENSES                                                       3,142,852

Less--reduction in management fee due to

   undertaking--Note 3(a)                                             (508,999)

NET EXPENSES                                                         2,633,853

INVESTMENT INCOME--NET                                              14,907,719
--------------------------------------------------------------------------------

REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 4 ($):

Net realized gain (loss) on investments                            (1,198,980)

Net unrealized appreciation (depreciation) on investments          (17,440,976)

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS             (18,639,956)

NET (DECREASE) IN NET ASSETS RESULTING FROM OPERATIONS             (3,732,237)

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund


STATEMENT OF CHANGES IN NET ASSETS

                                                        Year Ended May 31,
                                               ---------------------------------

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

OPERATIONS ($):

Investment income--net                         14,907,719           15,924,901

Net realized gain (loss) on investments       (1,198,980)            4,083,315

Net unrealized appreciation (depreciation)

   on investments                            (17,440,976)           (6,345,358)

NET INCREASE (DECREASE) IN NET ASSETS

   RESULTING FROM OPERATIONS                  (3,732,237)           13,662,858
--------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net                       (15,037,464)         (15,879,865)

Net realized gain on investments              (2,175,364)          (4,150,285)

TOTAL DIVIDENDS                              (17,212,828)         (20,030,150)
--------------------------------------------------------------------------------

BENEFICIAL INTEREST TRANSACTIONS ($):

Net proceeds from shares sold                  43,301,192          68,623,498

Dividends reinvested                           13,932,842          16,485,740

Cost of shares redeemed                     (102,186,708)         (77,696,631)

INCREASE (DECREASE) IN NET ASSETS FROM

   BENEFICIAL INTEREST TRANSACTIONS          (44,952,674)           7,412,607

TOTAL INCREASE (DECREASE) IN NET ASSETS      (65,897,739)           1,045,315
--------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           366,526,496          365,481,181

END OF PERIOD                                 300,628,757          366,526,496

Undistributed investment income--net                   --              129,745
--------------------------------------------------------------------------------

CAPITAL SHARE TRANSACTIONS (SHARES):

Shares sold                                     2,462,175            3,675,854

Shares issued for dividends reinvested            793,011              882,130

Shares redeemed                               (5,811,793)          (4,167,561)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING  (2,556,607)             390,423

SEE NOTES TO FINANCIAL STATEMENTS.

<TABLE>
<CAPTION>


FINANCIAL HIGHLIGHTS

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

                                                                                          Year Ended May 31,
                                                                 ------------------------------------------------------------------

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

PER SHARE DATA ($):

<S>                                                             <C>           <C>            <C>            <C>           <C>
Net asset value, beginning of period                            18.31         18.62          18.06          17.83         18.05

Investment Operations:

Investment income--net                                            .81           .80            .82            .83           .85

Net realized and unrealized

   gain (loss) on investments                                   (.97)          (.10)           .65            .41          (.22)

Total from Investment Operations                                (.16)            .70          1.47           1.24           .63

Distributions:

Dividends from investment income--net                           (.81)          (.80)          (.82)         (.83)          (.85)

Dividends from net realized
   gain on investments                                          (.12)          (.21)          (.09)         (.18)             --

Total Distributions                                             (.93)         (1.01)          (.91)        (1.01)          (.85)

Net asset value, end of period                                  17.22         18.31          18.62         18.06          17.83
------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                                (.89)          3.75           8.25          7.12           3.52
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                           .80           .80            .80           .80           .84

Ratio of net investment income

   to average net assets                                         4.53          4.28           4.44           4.64          4.69

Decrease reflected in above expense
   ratios due to undertakings by
   The Dreyfus Corporation                                        .15           .14            .15            .16           .12

Portfolio Turnover Rate                                         36.07         33.08          42.40          45.29         47.48
------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period ($ x 1,000)                        300,629        366,526        365,481        357,530       365,148

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

</TABLE>


NOTES TO FINANCIAL STATEMENTS

NOTE 1--Significant Accounting Policies:

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

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 each business day
by an independent pricing service ("Service") approved by the Board of Trustees.
Investments   for  which  quoted  bid  prices  are  readily  available  and  are
representative  of the bid side of the market in the judgment of the Service are
valued  at  the  mean  between the quoted bid prices (as obtained by the Service
from  dealers in such securities) and asked prices (as calculated by the Service
based  upon its evaluation of the market for such securities). Other investments
(which  constitute  a  majority of the portfolio securities) are carried at fair
value as determined by the Service, based on methods which include consideration
of:  yields  or  prices  of  municipal securities of comparable quality, coupon,
maturity  and  type;  indications  as to values from dealers; and general market
conditions.


(b)  Securities  transactions and investment income: Securities transactions are
recorded  on  a  trade  date  basis.  Realized  gain  and  loss  from securities
transactions  are  recorded  on  the  identified  cost  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.
Securities  purchased  or sold on a when-issued or delayed-delivery basis may be
settled  a  month  or  more after the trade date. Under the terms of the custody
agreement,  the  fund received net earnings credits of $1,407 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 are normally declared and paid annually, but the
fund  may  make  distributions  on  a  more  frequent  basis  to comply with the
distribution  requirements of the Internal Revenue Code of 1986, as amended (the
" Code" ). To the extent that net realized capital gain can be offset by capital
loss carryovers, it is the policy of the fund not to distribute such gain.

(d) Federal income taxes: It is the policy of the fund to continue to qualify as
a  regulated  investment  company, which can distribute tax exempt dividends, by
complying  with the applicable provisions of the Code, and to make distributions
of  income  and  net  realized  capital  gain  sufficient  to  relieve  it  from
substantially all Federal income and excise taxes.

The  fund  has  an  unused  capital  loss  carryover  of  approximately $900,000
available  for Federal income tax purposes to be applied against future net  The
Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

securities profits, if any, realized subsequent to May 31, 2000. If not applied,
the carryover expires in fiscal 2008.

NOTE 2--Bank Line of Credit:

The  fund  participates  with  other  Dreyfus-managed  funds  in  a $500 million
redemption  credit  facility  (the  "Facility" ) to be utilized for temporary or
emergency  purposes,  including  the  financing  of  redemptions.  In connection
therewith, the fund has agreed to pay commitment fees on its pro rata portion of
the  Facility.  Interest  is  charged  to  the fund at rates based on prevailing
market  rates  in  effect at the time of borrowings. During the period ended May
31, 2000, the fund did not borrow under the Facility.

NOTE 3--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 .60 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 of the fund, exclusive of
taxes, brokerage fees, interest on borrowings, commitment fees and extraordinary
expenses,  exceed 11_2% of the value of the fund's average daily net assets, the
fund  may  deduct  from  payments to be made to the Manager, or the Manager will
bear  such  excess  expense. The Manager had undertaken from June 1, 1999 to May
31,  2000  to reduce the management fee paid by the fund, to the extent that the
fund' s  aggregate  annual  expenses (exclusive of certain expenses as described
above)  exceeded  an annual rate of .80 of 1% of the value of the fund's average
daily  net assets. The reduction in management fee, pursuant to the undertaking,
amounted to $508,999 during the period ended May 31, 2000.

(b) Under the Service Plan (the "Plan") adopted pursuant to rule 12b-1 under the
Act,  the  fund  pays  the  distributor  for  distributing the fund's shares and
servicing shareholder accounts ("Servicing") and for adver

tising  and marketing relating to the fund. The Plan provides for payments to be
made at an aggregate annual rate of .25 of 1% of the value of the fund's average
daily net assets. Prior to March 22, 2000, Premier Mutual Fund Service Inc., and
not  DSC,  received payments under the Plan for distributing fund shares and for
servicing  shareholder accounts. The distributor determines the amounts, if any,
to be paid to Service Agents under the Plan and the basis on which such payments
are  made.  The fees payable under the Plan are payable without regard to actual
expenses  incurred.  The  Plan also separately provides for the fund to bear the
costs of preparing, printing and distributing certain of the fund's prospectuses
and  statements of additional information and costs associated with implementing
and  operating  the Plan, not to exceed the greater of $100,000 or .005 of 1% of
the  fund's average daily net assets for any full fiscal year. During the period
ended May 31, 2000, the fund was charged $824,723 pursuant to the Plan, of which
$769,037 was paid to DSC.

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  May  31,  2000,  the  fund  was charged $114,259 pursuant to the transfer
agency agreement.

(c)  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 $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

(d)  A  1% redemption fee is charged and retained by the fund on shares redeemed
within  fifteen days of their issuance, including on redemptions through the use
of  the  fund' s  exchange  privilege.  During  the  period  ended May 31, 2000,
redemption fee charged and retained by the fund amounted to $742. Effective June
1,  2000,  this  fee will be chargeable within thirty days following the date of
issuance of such shares.

                                                             The Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

NOTE 4--Securities Transactions:

The  aggregate amount of purchases and sales of investment securities, excluding
short-term  securities,  during  the  period  ended  May  31,  2000, amounted to
$116,186,361 and $166,647,234, respectively.

At  May  31,  2000,  accumulated  net unrealized depreciation on investments was
$4,538,981,   consisting   of   $2,550,299  gross  unrealized  appreciation  and
$7,089,280 gross unrealized depreciation.

At  May  31,  2000,  the cost of investments for Federal income tax purposes was
substantially  the  same  as  the cost for financial reporting purposes (see the
Statement of Investments).


REPORT OF INDEPENDENT AUDITORS

Shareholders and Board of Trustees Dreyfus New York Tax Exempt Intermediate Bond
Fund

We  have audited the accompanying statement of assets and liabilities of Dreyfus
New  York  Tax  Exempt  Intermediate  Bond  Fund,  including  the  statement  of
investments, as of May 31, 2000, and the related statement of operations for the
year  then  ended,  the  statement  of changes in net assets for each of the two
years  in  the period then ended, and financial highlights for each of the years
indicated  therein.  These financial statements and financial highlights are the
responsibility  of  the  Fund' s management. Our responsibility is to express an
opinion  on  these  financial  statements  and financial highlights based on our
audits.

We conducted our audits in accordance with auditing standards generally accepted
in the United States. Those standards require that we plan and perform the audit
to  obtain  reasonable  assurance  about  whether  the  financial statements and
financial  highlights  are  free  of  material  misstatement.  An audit includes
examining,  on  a test basis, evidence supporting the amounts and disclosures in
the  financial  statements  and  financial  highlights.  Our procedures included
confirmation  of  securities owned as of May 31, 2000 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  New York Tax Exempt Intermediate Bond Fund at May 31, 2000, the results
of  its  operations  for  the year then ended, the changes in its net assets for
each of the two years in the period then ended, and the financial highlights for
each  of the indicated years, in conformity with accounting principles generally
accepted in the United States.


New York, New York

July 5, 2000

                                                             The Fund


IMPORTANT TAX INFORMATION (Unaudited)

In  accordance  with  Federal  tax  law,  the  fund  hereby  makes the following
designations regarding its fiscal year ended May 31, 2000:

--  all  the  dividends  paid  from  investment  income-net are "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), and

--  the  fund  hereby  designates  $.1124  per share as a long-term capital gain
distribution of the $.1167 per share paid on December 9, 1999.

 As required by Federal tax law rules, shareholders will receive notification of
their  portion  of  the  fund' s taxable ordinary dividends (if any) and capital
gains  distributions  (if  any) paid for the 2000 calendar year on Form 1099-DIV
which will be mailed by January 31, 2001.


                                                             The Fund

                                                           For More Information

                        Dreyfus New York Tax Exempt Intermediate

                        Bond Fund

                        200 Park Avenue

                        New York, NY 10166

                      Manager

                        The Dreyfus Corporation

                        200 Park Avenue

                        New York, NY 10166

                      Custodian

                        The Bank of New York

                        100 Church Street

                        New York, NY 10286

                      Transfer Agent &

                      Dividend Disbursing Agent

                        Dreyfus Transfer, Inc.

                        P.O. Box 9671

                        Providence, RI 02940

                      Distributor

                        Dreyfus Service Corporation

                        200 Park Avenue

                        New York, NY 10166

To obtain information:

BY TELEPHONE Call 1-800-645-6561

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

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

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

http://www.dreyfus.com

(c) 2000 Dreyfus Service Corporation                                   705AR005





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