DREYFUS PREMIER GNMA FUND
N-30D, 2000-08-28
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Dreyfus Premier
GNMA Fund

SEMIANNUAL REPORT June 30, 2000

(reg.tm)





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

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


                                 Contents

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

                             2   Letter from the President

                             3   Discussion of Fund Performance

                             6   Statement of Investments

                             8   Statement of Assets and Liabilities

                             9   Statement of Operations

                            10   Statement of Changes in Net Assets

                            12   Financial Highlights

                            15   Notes to Financial Statements

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

                                 Back Cover

                                                                       The Fund

                                                      Dreyfus Premier GNMA Fund

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are pleased to present this semiannual report for Dreyfus Premier GNMA Fund,
covering  the  six-month  period  from  January  1,  2000 through June 30, 2000.
Inside,  you'll find valuable information about how the fund was managed during
the  reporting period, including a discussion with the fund's portfolio manager,
Michael Hoeh.

Tighter monetary policy adversely affected most -- but not all -- sectors of the
bond  market over the past six months. This was primarily a result of efforts by
the  Federal  Reserve  Board  (the  "Fed" ) to  forestall potential inflationary
pressures.  The  Fed  raised  short-term  interest  rates three times during the
reporting  period,  for  a  total increase of 1.00 percentage points. These rate
hikes  contributed  to  a total interest-rate increase of 1.75 percentage points
since   late   June   1999,   before   the   current  reporting  period  began.

Higher  interest  rates  led to an erosion of most bond prices, especially among
higher  yielding  securities.  U.S.  Treasury  securities  represented a notable
exception.  Prices  of  these  direct obligations of the federal government rose
primarily because of reduced supply amid robust demand from domestic and foreign
investors.

We  appreciate  your confidence over the past six months, and we look forward to
your continued participation in Dreyfus Premier GNMA Fund.

Sincerely,

/s/Stephen E. Canter
Stephen E. Canter
President and Chief Investment Officer
The Dreyfus Corporation
July 17, 2000




DISCUSSION OF FUND PERFORMANCE

Michael Hoeh, Portfolio Manager

How did Dreyfus Premier GNMA Fund perform relative to its benchmark?

For the six-month period ended June 30, 2000, the fund's Class A shares produced
a  total  return  of  3.68%, Class B shares produced a total return of 3.42% and
Class  C  shares  produced a total return of 3.21%.(1 )In comparison, the fund's
benchmark,  the Lehman Brothers GNMA Index, produced a total return of 4.12% for
the same period.(2)

We  attribute  the fund's slight underperformance to our modest position in U.S.
Treasury   securities,  which  provided  lower  yields  than  GNMA  pass-through
mortgage-backed  securities.  However,  on  an  income basis, the relatively low
yields  provided by U.S. Treasury securities were mostly offset by higher yields
achieved from GNMA project loans sponsored by the U.S. Department of Housing and
Urban Development.

What is the fund's investment approach?

The  fund  invests primarily in Government National Mortgage Association ("GNMA"
or  "Ginnie Mae") securities. The remainder may be allocated to other securities
issued  or  guaranteed by the U.S. Government, such as U.S. Treasury securities.
The  fund's  goal  is to provide a high level of current income consistent  with
capital preservation.

We use a four-step investment approach:

*PREPAYMENT  TREND ANALYSIS measures the rate at which homeowners  are likely to
prepay their mortgages because of home sales or refinancing. An increase in this
trend   can   adversely   affect   returns   of   mortgage-related  securities.

*OPTION-ADJUSTED  SPREAD ANALYSIS compares the early  redemption characteristics
of  different  mortgage-backed  securities  with  other securities, such as U.S.
Treasuries, to help us measure their vulnerability to early redemption.

                                                             The Fund


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

*CASH  FLOW  STRUCTURE  ANALYSIS  helps  us  determine  the  predictability and
security  of  cash  flows  provided  by  different  bond  structures. We analyze
30-year,  15-year,  adjustable-rate  and  project loans securities for inclusion
into the fund.

*TOTAL-RATE-OF-RETURN  SCENARIOS  calculate  expected  rates of return for each
security  relative  to  U.S.  Treasury  securities under different interest-rate
scenarios  over  a six-month time frame. This helps us estimate which securities
are   likely  to  provide  above-average  returns  in  any  given  interest-rate
environment.

What other factors influenced the fund's performance?

First,  the  fund  was  influenced by inflation fears and rising interest rates.
When   the  reporting  period  began  on  January  1,  2000,  we  were  becoming
increasingly  concerned  that robust economic growth might rekindle long-dormant
inflationary  pressures,  especially with wages rising in a tight job market. In
an attempt to ease these pressures, the Federal Reserve Board (the "Fed") raised
short-term  interest rates three times during the reporting period, causing most
bond prices to fall. These interest-rate hikes followed three previous increases
implemented  before  the current reporting period began, for a total increase of
1.75 percentage points since June 1999. Although rising interest rates hurt most
bond  market  sectors,  mortgage-backed  securities generally declined less than
other  types  of  securities  because higher interest rates reduce the risk that
homeowners will prepay their mortgages.

Second,  the  fund  responded  to forces that are unique to the GNMA market. For
example,  in  the  wake  of  negative comments in Congress and the U.S. Treasury
Department,   prices  of  some  U.S.  Government  agency  securities  declined,
specifically those issued by Federal National Home Mortgage Association ("Fannie
Mae" ) and  Federal  Home  Loan  Corporation  ("Freddie Mac") which are INDIRECT
obligations  of  the  federal government. At the same time, prices of Ginnie Mae
securities,  which  are  direct  obligations  of the federal government, rose as
investors  shifted  assets  from  indirect  obligations  to  direct obligations,
benefiting fund performance.


What is the fund's current strategy?

After  maintaining  the  fund's average duration -- a measure of sensitivity to
changing  interest rates -- for most of the reporting period at a point that was
shorter  than  that  of  our  benchmark,  we recently extended to a more neutral
position. This modest extension is intended to help us lock in prevailing yields
for  a  longer  time  if  the economy slows and interest rates begin to decline.
Indeed, while economic growth has remained robust during the first half of 2000,
we  have  recently seen signs that the Fed's interest-rate hikes may be having a
moderating effect on the economy.

From  a  sector  allocation  standpoint,  we  have  continued  to emphasize GNMA
pass-through  securities  over  U.S. Treasury securities because of their higher
yields.  As  of  June 30, 2000, the fund allocated approximately 114% of its net
asset  value  to  government-guaranteed  GNMA securities and 4% of its net asset
value  to  inflation-indexed  U.S.  Treasury  securities.  Of  course, while the
individual  securities  within the portfolio are government guaranteed as to the
timely payment of principal and interest, their market value and also fund share
value are not guaranteed.

July 17, 2000

(1)  TOTAL RETURN INCLUDES REINVESTMENT OF DIVIDENDS AND ANY CAPITAL GAINS PAID,
AND DOES NOT TAKE INTO CONSIDERATION THE MAXIMUM INITIAL SALES CHARGE IN THE
CASE OF CLASS A SHARES, OR THE APPLICABLE CONTINGENT DEFERRED SALES CHARGE
IMPOSED ON REDEMPTIONS IN THE CASE OF CLASS B AND CLASS C SHARES. HAD THESE
CHARGES BEEN REFLECTED, RETURNS WOULD HAVE BEEN LOWER. 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.

(2)  SOURCE: LEHMAN BROTHERS -- REFLECTS REINVESTMENT OF DIVIDENDS AND, WHERE
APPLICABLE, CAPITAL GAIN DISTRIBUTIONS. THE LEHMAN BROTHERS GNMA INDEX
(UNHEDGED) IS AN UNMANAGED, TOTAL RETURN PERFORMANCE BENCHMARK FOR THE GNMA
MARKET CONSISTING OF 15- AND 30-YEAR FIXED-RATE SECURITIES BACKED BY MORTGAGE
POOLS OF THE GOVERNMENT NATIONAL MORTGAGE ASSOCIATION.

                                                             The Fund

STATEMENT OF INVESTMENTS

June 30, 2000 (Unaudited)

<TABLE>


                                                                                              Principal
BONDS AND NOTES--118.3%                                                                      Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                         <C>                       <C>

MORTGAGE-BACKED--114.4%

Government National Mortgage Association I:

   6.5%, 11/15/2007-5/15/2028                                                                12,219,419               11,976,275

   7.5%, 3/15/2022-12/15/2023                                                                 7,028,866                7,049,063

   8%, 4/15/2008-12/15/2022                                                                   7,692,011                7,808,306

   8.5%, 10/15/2017-12/15/2022                                                                2,131,525                2,209,819

   9%, 10/15/2016-12/15/2022                                                                  2,612,988                2,730,002

   9.5%, 11/15/2016-1/15/2025                                                                 2,250,724                2,366,851

   11.5%, 1/15/2013                                                                              34,499                   37,571

   Project Loans:

      6.25%, 11/15/2018                                                                       1,438,965                1,365,218

      6.32%, 10/15/2033                                                                       1,510,735                1,421,027

      6.35%, 6/15/2030-2/15/2034                                                              4,140,281                3,877,926

      6.375%, 2/15/2028                                                                       1,462,970                1,399,872

      6.45%, 8/15/2033-11/15/2033                                                             5,304,890                5,118,843

      6.5%, 7/15/2033                                                                           922,499                  892,222

      6.625%, 8/15/2028-11/15/2033                                                            3,778,205                3,608,522

      6.7%, 2/15/2033                                                                         3,707,734                3,602,286

      8.5%, 10/15/2016-2/15/2017                                                              1,179,365                1,217,318

Government National Mortgage Association II:

   5.5%, 4/20/2030                                                                            2,993,778  (a)           2,887,110

   6%                                                                                         2,000,000  (a,b)         1,958,120

   6%, 4/20/2030                                                                              5,980,548  (a)           5,849,693

   7%, 9/20/2028-10/20/2029                                                                   8,820,041                8,552,445

   7.5%                                                                                       9,900,000  (b)           9,788,625

   8%                                                                                        31,050,000  (b)          31,224,501

   8%, 10/20/2026                                                                             6,182,726                6,242,575

   9%, 7/20/2025                                                                              1,575,494                1,611,920

   11%, 12/20/2013-10/20/2015                                                                   562,430                  622,452

                                                                                                                     125,418,562


                                                                                              Principal
BONDS AND NOTES (CONTINUED)                                                                  Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

U.S. GOVERNMENTS--3.9%

U. S. Treasury Inflation Protection Securities:

   3.625%, 4/15/2029                                                                          2,100,000                2,180,531

   3.875%, 7/15/2002                                                                          2,000,000                2,123,655

                                                                                                                       4,304,186

TOTAL BONDS AND NOTES

   (cost $130,979,787)                                                                                               129,722,748
------------------------------------------------------------------------------------------------------------------------------------

SHORT-TERM INVESTMENTS--20.3%
------------------------------------------------------------------------------------------------------------------------------------

U.S. GOVERNMENTS;

U. S. Treasury Bills:

   5.75%, 8/3/2000                                                                            3,320,000                3,304,230

   5.97%, 8/17/2000                                                                          19,050,000               18,916,841

TOTAL SHORT-TERM INVESTMENTS

   (cost $22,213,292)                                                                                                 22,221,071
------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS
   (cost $153,193,079)                                                                           138.6%              151,943,819

LIABILITIES, LESS CASH AND RECEIVABLES                                                           (38.6%)             (42,288,794)

NET ASSETS                                                                                       100.0%              109,655,025

(A) ADJUSTABLE RATE MORTGAGE-INTEREST RATE SUBJECT TO CHANGE PERIODICALLY.

(B) PURCHASED ON A FORWARD COMMITMENT BASIS.

(C) PRINCIPAL AMOUNT FOR ACCRUAL PURPOSES IS PERIODOCALLY ADJUSTED BASED ON CHANGES TO THE CONSUMER PRICE INDEX.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund


STATEMENT OF ASSETS AND LIABILITIES

June 30, 2000 (Unaudited)

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

ASSETS $:

Investments in securities--See Statement of
Investments                                           153,193,079   151,943,819

Cash                                                                    538,723

Receivable for investment securities sold                             6,937,292

Interest receivable                                                     766,645

Receivable for shares of Beneficial Interest subscribed                  25,878

Prepaid expenses                                                          7,182

                                                                    160,219,539
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                           111,644

Payable for investment securities purchased                          50,150,034

Payable for shares of Beneficial Interest redeemed                      232,357

Accrued expenses                                                         70,479

                                                                     50,564,514
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      109,655,025
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     116,413,145

Accumulated undistributed investment income--net                         22,392

Accumulated net realized gain (loss) on investments                  (5,531,252)

Accumulated net unrealized appreciation (depreciation)
  on investments--Note 4                                             (1,249,260)
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      109,655,025

<TABLE>

NET ASSET VALUE PER SHARE

                                                                                  Class A    Class B      Class C
------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                             <C>           <C>        <C>

Net Assets ($)                                                                 80,805,327  26,343,328    2,506,370

Shares Outstanding                                                              5,636,558   1,836,330      174,725
------------------------------------------------------------------------------------------------------------------------------------

NET ASSET VALUE PER SHARE ($)                                                       14.34       14.35        14.34

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>


STATEMENT OF OPERATIONS

Six Months Ended June 30, 2000 (Unaudited)

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                      3,736,999

EXPENSES:

Management fee--Note 3(a)                                              304,752

Shareholder servicing costs--Note 3(c)                                 205,394

Distribution fees--Note 3(b)                                            77,132

Registration fees                                                       23,947

Professional fees                                                       19,056

Trustees' fees and expenses--Note 3(d)                                  17,669

Custodian fees--Note 3(c)                                               17,174

Prospectus and shareholders' reports                                    12,139

Loan commitment fees--Note 2                                               469

Miscellaneous                                                           10,772

TOTAL EXPENSES                                                         688,504

INVESTMENT INCOME--NET                                               3,048,495
--------------------------------------------------------------------------------

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

Net realized gain (loss) on investments                               (356,016)

Net unrealized appreciation (depreciation) on investments            1,115,189

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS                 759,173

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                 3,807,668

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

STATEMENT OF CHANGES IN NET ASSETS

                                         Six Months Ended
                                            June 30, 2000         Year Ended
                                              (Unaudited)  December 31, 1999
--------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                          3,048,495           6,657,626

Net realized gain (loss) on investments          (356,016)         (1,429,905)

Net unrealized appreciation
   (depreciation) on investments                1,115,189          (4,444,246)

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                    3,807,668             783,475
--------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net:

Class A shares                                 (2,321,875)          (4,848,685)

Class B shares                                   (714,145)          (1,627,726)

Class C shares                                    (58,589)            (119,145)

TOTAL DIVIDENDS                                (3,094,609)          (6,595,556)
--------------------------------------------------------------------------------

BENEFICIAL INTEREST TRANSACTIONS ($):

Net proceeds from shares sold:

Class A shares                                 24,228,297           42,677,342

Class B shares                                  2,936,686           11,917,827

Class C shares                                    768,560            2,750,159

Dividends reinvested:

Class A shares                                  1,550,840            3,317,557

Class B shares                                    413,830            1,078,382

Class C shares                                     32,004               44,695

Cost of shares redeemed:

Class A shares                                (30,660,410)         (51,061,402)

Class B shares                                 (8,005,605)         (22,391,393)

Class C shares                                   (560,190)          (2,987,948)

INCREASE (DECREASE) IN NET ASSETS FROM
   BENEFICIAL INTEREST TRANSACTIONS            (9,295,988)         (14,654,781)

TOTAL INCREASE (DECREASE) IN NET ASSETS        (8,582,929)         (20,466,862)
--------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           118,237,954          138,704,816

END OF PERIOD                                 109,655,025          118,237,954

Undistributed investment income--net               22,392               68,506

SEE NOTES TO FINANCIAL STATEMENTS.



                                         Six Months Ended
                                            June 30, 2000         Year Ended
                                              (Unaudited)  December 31, 1999
--------------------------------------------------------------------------------

CAPITAL SHARE TRANSACTIONS:

CLASS A(A)

Shares sold                                     1,705,556           2,920,168

Shares issued for dividends reinvested            109,453             227,949

Shares redeemed                                (2,162,543)         (3,502,729)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING    (347,534)           (354,612)
--------------------------------------------------------------------------------

CLASS B(A)

Shares sold                                       207,155             814,420

Shares issued for dividends reinvested             29,194              73,962

Shares redeemed                                  (564,790)         (1,527,240)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING    (328,441)           (638,858)
--------------------------------------------------------------------------------

CLASS C

Shares sold                                        54,229             187,195

Shares issued for dividends reinvested              2,255               3,074

Shares redeemed                                   (39,593)           (204,314)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING      16,891             (14,045)

(A)  DURING THE PERIOD ENDED JUNE 30, 2000, 188,395 CLASS B SHARES REPRESENTING
$2,685,347 WERE AUTOMATICALLY CONVERTED TO 188,592 CLASS A SHARES AND DURING THE
PERIOD ENDED DECEMBER 31, 1999, 36,118 CLASS B SHARES REPRESENTING $518,787 WERE
AUTOMATICALLY CONVERTED TO 36,152 CLASS A SHARES

SEE NOTES TO FINANCIAL STATEMENTS.


                                                             The Fund

FINANCIAL HIGHLIGHTS

The  following  tables  describe  the  performance  for each share class for the
fiscal  periods  indicated.  All  information  (except  portfolio turnover rate)
reflects  financial results for a single fund share. 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.

<TABLE>

                                          Six Months Ended
                                             June 30, 2000                       Year Ended December 31,
                                                                        -----------------------------------------
CLASS A SHARES                                  (Unaudited)       1999        1998        1997           1996          1995
------------------------------------------------------------------------------------------------------------------------------------
<S>                                                   <C>        <C>         <C>          <C>           <C>            <C>

PER SHARE DATA ($):

Net asset value,
   beginning of period                               14.23       14.89       14.76       14.37          14.66         13.54

Investment Operations:

Investment income--net                                 .40         .78         .81         .85            .88           .91

Net realized and unrealized
   gain (loss) on investments                          .11        (.67)        .13         .39           (.29)         1.12

Total from Investment Operations                       .51         .11         .94        1.24            .59          2.03

Distributions:

Dividends from investment
   income--net                                        (.40)       (.77)       (.81)       (.85)          (.88)         (.91)

Net asset value, end of period                       14.34       14.23       14.89       14.76          14.37         14.66
------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)(A)                                   7.38(b)      .75        6.51        8.91           4.25         15.43
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses
   to average net assets                              1.10(b)     1.06        1.05        1.05           1.04          1.03

Ratio of net investment income
   to average net assets                              5.64(b)     5.31        5.44        5.87           6.17          6.45

Portfolio Turnover Rate                             378.11(c)   425.33      283.20      518.62         267.22        349.24
------------------------------------------------------------------------------------------------------------------------------------

Net Assets,
   end of period ($ X 1,000)                        80,805      85,157      94,369      95,071        111,267       134,545

(A) EXCLUSIVE OF SALES CHARGE.

(B) ANNUALIZED.

(C) NOT ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.


                                          Six Months Ended
                                             June 30, 2000                       Year Ended December 31,
                                                                       -----------------------------------------
CLASS B SHARES                                  (Unaudited)       1999        1998        1997           1996          1995
------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value,
   beginning of period                               14.24       14.90       14.78       14.38          14.67         13.55

Investment Operations:

Investment income--net                                 .36         .70         .73         .78            .81           .84

Net realized and unrealized
   gain (loss) on investments                          .12        (.67)        .12         .40           (.29)         1.12

Total from Investment Operations                       .48         .03         .85        1.18            .52          1.96

Distributions:

Dividends from investment
   income--net                                        (.37)       (.69)       (.73)       (.78)          (.81)         (.84)

Net asset value, end of period                       14.35       14.24       14.90       14.78          14.38         14.67
------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)(A)                                   6.86(b)      .23        5.90        8.43           3.71         14.83
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses
   to average net assets                              1.61(b)     1.57        1.56        1.55           1.55          1.55

Ratio of net investment income
   to average net assets                              5.14(b)     4.76        4.93        5.36           5.65          5.89

Portfolio Turnover Rate                             378.11(c)   425.33      283.20      518.62         267.22        349.24
------------------------------------------------------------------------------------------------------------------------------------

Net Assets,
   end of period ($ X 1,000)                        26,343      30,833      41,775      38,775         39,833        41,934

(A) EXCLUSIVE OF SALES CHARGE.

(B) ANNUALIZED.

(C) NOT ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

FINANCIAL HIGHLIGHTS (CONTINUED)

                                          Six Months Ended
                                             June 30, 2000                           Year Ended December 31,
                                                                          -----------------------------------------
CLASS C SHARES                                  (Unaudited)       1999        1998        1997           1996          1995
------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value,
   beginning of period                               14.24       14.90       14.77       14.38          14.67         14.48

Investment Operations:

Investment income--net                                 .34         .66        .68          .75            .77           .16

Net realized and unrealized
   gain (loss) on investments                          .11        (.66)       .13          .39           (.29)          .19

Total from Investment Operations                       .45          --        .81         1.14            .48           .35

Distributions:

Dividends from investment
   income--net                                        (.35)       (.66)      (.68)        (.75)          (.77)         (.16)

Net asset value, end of period                       14.34       14.24      14.90        14.77          14.38         14.67
------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)(B)                                   6.44(c)     (.03)      5.62         8.13           3.44         11.47(c)
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to
   average net assets                                 1.87(c)     1.85       1.80         1.80           1.79          1.79(c)

Ratio of net investment income
   to average net assets                              4.89(c)     4.52       4.40         5.11           5.42          5.25(c)

Portfolio Turnover Rate                             378.11(d)   425.33     283.20       518.62         267.22        349.24
------------------------------------------------------------------------------------------------------------------------------------

Net Assets,
   end of period ($ X 1,000)                         2,506       2,247      2,561          110             17             1

(A) FROM OCTOBER 16, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO DECEMBER 31, 1995.

(B) EXCLUSIVE OF SALES CHARGE.

(C) ANNUALIZED.

(D) NOT ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>


NOTES TO FINANCIAL STATEMENTS (Unaudited)

NOTE 1--Significant Accounting Policies:

Dreyfus  Premier  GNMA  Fund  (the "fund") is  registered under the Investment
Company  Act  of  1940,  as  amended  (the "Act"), as  a  diversified open-end
management  investment  company.  The  fund's investment objective is to provide
investors  with  as  high  a  level  of current income as is consistent with the
preservation  of  capital  by investing principally in instruments issued by the
Government   National   Mortgage   Association.  The  Dreyfus  Corporation  (the
"Manager") serves  as  the  fund's investment adviser. The Manager is a direct
subsidiary  of  Mellon Bank, N.A. ("Mellon"), 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. Prior to
March 22, 2000, Premier Mutual Fund Services, Inc. was the distributor. The fund
is  authorized  to  issue  an  unlimited number of $.001 par value shares in the
following  classes  of  shares: Class A, Class B and Class C. Class A shares are
subject  to  a  sales charge imposed at the time of purchase, Class B shares are
subject  to a contingent deferred sales charge ("CDSC") imposed on Class B share
redemptions  made  within  six  years  of  purchase (five years for shareholders
beneficially  owning Class B shares on November 30, 1996) and Class C shares are
subject  to  a  CDSC  imposed  on  Class  C  shares  redeemed within one year of
purchase.  Class  B  shares  automatically  convert  to Class A shares after six
years. Other differences between the classes include the services offered to and
the expenses borne by each class and certain voting rights.

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.

                                                             The Fund

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

(a)   Portfolio  valuation:  Investments  in  securities  (excluding  short-term
investments  other  than U.S. Treasury Bills) 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 securities of comparable quality, coupon, maturity and
type;  indications  as  to  values  from dealers; and general market conditions.
Securities  for  which  there are no such valuations are valued at fair value as
determined  in  good  faith  under  the  direction  of  the  Board  of Trustees.
Short-term  investments, excluding U.S. Treasury Bills, are carried at amortized
cost, which approximates value.

(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
(including,   where   applicable,   amortization   of   discount  on  short-term
investments)  is recognized on the accrual basis. Under the terms of the custody
agreement,  the  fund  receives  net  earnings  credits  based on available cash
balances left on deposit.

(c) Dividends to shareholders: It is the policy of the fund to declare dividends
daily  from  investment  income-net.  Such dividends are paid monthly. Dividends
from net realized capital gain, if any, are normally declared and paid annually,
but  the fund may make distributions on a more frequent basis to comply with the
distribution  requirements of the Internal Revenue Code of 1986, as amended (the
"Code" ). To the extent that net realized capital gain can be offset by capital
loss carryovers, it is the policy of the fund not to distribute such gain.


(d) Federal income taxes: It is the policy of the fund to continue to qualify as
a  regulated  investment company, if such qualification is in the best interests
of  its  shareholders,  by complying with the applicable provisions of the Code,
and  to  make  distributions  of  taxable  income  sufficient to relieve it from
substantially all Federal income and excise taxes.

The  fund  has  an  unused  capital  loss  carryover of approximately $3,705,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized subsequent to December 31, 1999. If not
applied, the carryover expires in fiscal 2002.

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 June
30, 2000, the fund did not borrow under the Facility.

NOTE 3--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 .55 of 1% of the value of the fund's average
daily net assets and is payable monthly.

DSC  retained $133 during the period ended June 30, 2000 from commissions earned
on sales of the fund's shares.

(b)  Under  the  Distribution Plan adopted pursuant to Rule 12b-1 under the Act,
Class  B and Class C shares pay the distributor for distributing their shares at
an   annual   rate   of   .50   of   1%   of   the   value   of  the
                                                                        The Fund

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

average  daily  net  assets  of Class B shares and .75 of 1% of the value of the
average  daily  net  assets  of Class C shares. During the period ended June 30,
2000,  Class B and Class C shares were charged $68,266 and $8,866, respectively,
pursuant  to  the  Plan,  of  which  $44,644  and $6,033 for Class B and Class C
shares, respectively, were paid to DSC.

(c) Under the Shareholder Services Plan, Class A, Class B and Class C shares pay
the  distributor  at  an  annual rate of .25 of 1% of the value of their average
daily  net  assets  for the provision of certain services. The services provided
may  include  personal  services  relating  to  shareholder  accounts,  such  as
answering  shareholder  inquiries  regarding  the fund and providing reports and
other  information,  and  services  related  to  the  maintenance of shareholder
accounts.  The  distributor  may  make  payments to Service Agents (a securities
dealer,  financial  institution  or  other  industry professional) in respect of
these  services.  The  distributor  determines the amounts to be paid to Service
Agents.  During  the  period  ended  June 30, 2000, Class A, Class B and Class C
shares  were charged $101,435, $34,133 and $2,955, respectively, pursuant to the
Shareholder  Services  Plan,  of  which $67,573, $22,322 and $2,011 for Class A,
Class B and Class C shares respectively, were 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  June  30,  2000,  the  fund  was charged $49,825 pursuant to the transfer
agency agreement.

The  fund  compensates  Mellon under a custody agreement for providing custodial
services  for  the  fund.  During  the  period ended June 30, 2000, the fund was
charged $17,174 pursuant to the custody agreement.

(d)  Each  Board  member also serves as a Board member of other funds within the
Dreyfus complex (collectively, the "Fund Group"). Effective April 13, 2000, each
Board member who is not an "affiliated person" as defined in the Act receives an
annual fee of $50,000 and an attendance fee of $6,500 for each in person meeting
and $500 for tele

phone  meetings. These fees are allocated among the funds in the Fund Group. The
Chairman  of the Board receives an additional 25% of such compensation. Prior to
April  13, 2000, each Board member who was not an "affiliated person" as defined
in  the Act received from the fund an annual fee of $2,500 and an attendance fee
of  $500  per  meeting.  The Chairman of the Board received an additional 25% of
such  compensation.  Subject to the fund's Emeritus Program Guidelines, Emeritus
Board  members,  if  any,  receive 50% of the fund's annual retainer fee and per
meeting fee paid at the time the Board member achieves emeritus status.

NOTE 4--Securities Transactions:

The  aggregate  amount of purchases and sales (including paydowns) of investment
securities,  excluding  short-term  securities, during the period ended June 30,
2000, amounted to $511,471,142 and $521,454,845, respectively.

The  fund  may  purchase  or  sell securities on a forward commitment basis. The
price  of  the  underlying  securities  is  fixed at the time the transaction is
negotiated  and  settlement may take place a month or more after that date. With
respect to purchase commitments, the fund will identify securities as segregated
in  its  records  with  a value at least equal to the amount of its commitments.
Losses  may  arise  due  to  changes  in  the  market  value  of  the underlying
securities,  if  the  counter-party  does  not  meet the terms of the settlement
agreement,  or  if  the  issuer  does not issue the securities due to political,
economic, or other factors.

At  June  30,  2000,  accumulated net unrealized depreciation on investments was
$1,249,260,  consisting of $373,168 gross unrealized appreciation and $1,622,428
gross    unrealized    depreciation.

At  June  30,  2000, the cost of investments for Federal income tax purposes was
substantially  the  same  as  the cost for financial reporting purposes (see the
Statement of Investments).

                                                             The Fund

Notes

                                                           For More Information

                        Dreyfus Premier GNMA Fund
                        200 Park Avenue
                        New York, NY 10166

                        Manager

                        The Dreyfus Corporation
                        200 Park Avenue
                        New York, NY 10166

                        Custodian

                        Mellon Bank, N.A.
                        One Mellon Bank Center
                        Pittsburgh, PA 15258

                        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 your financial representative
or 1-800-554-4611

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

(c) 2000 Dreyfus Service Corporation                                   027SA006





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