DREYFUS PREMIER GNMA FUND
N-30D, 1998-09-09
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DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

We are pleased to report the performance for Dreyfus Premier GNMA Fund for the
six-month period ended June 30, 1998 as shown in the following table:
<TABLE>
                                                                                                         Annualized

                                                                         Approximate                  Distribution Rate

                                         Total Return*                Income Dividends                   Per Share**

                                         ___________               _____________________             _________________
<S>                                          <C>                           <C>                              <C>
Class A Shares                               3.33%                         $0.417                           5.41%

Class B Shares                               3.01%                         $0.380                           5.17%

Class C Shares                               2.87%                         $0.351                           4.77%

Lehman Brothers GNMA Index***                3.34%
</TABLE>

THE ECONOMY

In recent testimony to Congress, Federal Reserve Board Chairman Alan Greenspan
proclaimed  the  economy  to be "as impressive as any I have witnessed." Indeed,
the  performance of the economy has been tremendous, with solid, noninflationary
economic  growth  and  a  robust  rate  of  new  job  creation. Accordingly, the
unemployment  rate hovers near its 28-year low. Not surprisingly, consumers brim
with confidence: new home sales were recently at record levels, and retail sales
have  surged  since January. The enthusiastic spending of consumers has, so far,
offset  the  adverse  effects  of  the  economic  problems in Asia. In fact, the
financial  crisis  in  the  Far East has proved a boon to consumers, since lower
import  prices  have  further  subdued  domestic price pressures and helped keep
interest  rates  low.  Remarkably,  despite  the strengthening economy since the
beginning  of  this  year,  inflation  has  waned  further. With inflation under
control  and  the  economy  just  beginning to experience a reduction in foreign
demand, the Federal Reserve Board has been reluctant to raise interest rates for
fear of further roiling Asian financial markets. The last increase in short-term
rates  came  in  March 1997 when the Federal Reserve Board Open Market Committee
(the policy-making arm of The Federal Reserve) hiked the target rate for Federal
Funds by one quarter of a percent to 5.5%.

  Even  with  the  booming  job  market, wage gains have had little inflationary
effect,  since business spending in productivity-enhancing capital equipment has
been  strong  throughout  the  economic  expansion. The one soft spot in the job
market  has  been  in manufacturing: industrial production has slowed -- a clear
sign that Asian economic woes are being felt here -- and inventories of domestic
manufacturers  have  risen  due to the reduction in foreign demand. It is widely
expected  that  the  growing  trade  deficit will retard second-quarter economic
growth  and possibly serve as a drag over the foreseeable future. This reduction
in  foreign  demand  could  further moderate the rate of domestic production and
consequently  ease  the  demand  for labor, thus lessening inflationary pressure
resulting  from  wage  increases. Cheaper imports have also weakened the pricing
environment  for  U.S. manufacturers and, in consequence, acted as an additional
curb  to inflation. All this has been part of what Chairman Greenspan called our
economy' s "virtuous cycle" where even so-called crises have proven economically
beneficial. As a further example, the economic upheavals in Asia and Russia have
caused nervous foreign investors to seek refuge in the U.S. bond market, causing
a  demand  surge that has helped maintain our low interest rate environment. Yet
we,  along  with  Chairman Greenspan, are skeptical that our economy has somehow
moved   "beyond  history,"  and  we  share  his  vigilance  regarding  signs  of
inflationary imbalances.

MARKET ENVIRONMENT

  The  first  half  of  1998  was  a period of interest rate declines. Long-term
interest rates (30-year Treasury) reached one of their lowest levels in history.
By late June, 30-year U.S. Treasury rates fell to 5.57%. This was lower than the
bond  rally  in 1993 when rates only got down to 5.78%. This decline in interest
rates  is  attributed  to  many  long-term economic factors. The main one is the
continued  problems in the Asian economies. This has caused a permanent slowdown
in  the U.S. economy. During this period, the U.S. fixed-income market continued
to see strong demand for U.S. Treasuries from overseas. This occurred as worried
international  investors demanded securities with stability and liquidity; their
main destination was the U.S. securities market. This additional demand for U.S.
Treasuries led to these new lower interest rates.

  What  does this mean for the GNMA securities investor ? As U.S. Treasury rates
fell  to new lows, so did the rate on new mortgage loans. Hence the typical U.S.
homeowner  had  a  big  opportunity to refinance his or her home mortgage into a
much lower interest rate loan. This led to a very large number of prepayments in
mortgage-backed  securities.  These increased prepayments caused mortgage-backed
securities  to underperform other fixed-income investments during the first half
of 1998.

PORTFOLIO OVERVIEW

  In  this  environment of falling interest rates and increasing prepayments, we
have  looked  to  position  the  Fund to take advantage of this outlook. We have
positioned  the  duration  of the Fund to be 10% longer than the duration of the
Lehman Brothers GNMA Index. Hence the duration of the Fund was 2.40 years at the
end of the second quarter of 1998.

  We  have  also made adjustments to our asset allocation. Hence we continued to
add  call-protected  assets  to  the  Fund.  These are primarily in GNMA project
loans.  These  bonds  typically  have  10  years  of protection from any type of
mortgage  loan refinancing. During the first half of 1998, we have increased our
holdings  in  GNMA  project loans to over 10% of the Fund. These securities have
outperformed  fixed-rate  pass-through  securities because their coupon payments
are not cut short by loan prepayments.

  We  have  also  focused on discount dollar priced securities. These securities
directly  benefit from increases in homeowner refinancing. During the first half
of  the year, we increased our holding to 28% of the Fund in 15-year and 30-year
GNMA 6.50% coupon pass-through securities. To increase this position we sold our
prepay-sensitive premium 30-year GNMA 8.00% and 8.50% seasoned GNMA pass-through
securities.

  Last,  we have decreased our exposure to adjustable-rate GNMA securities (GNMA
ARMs) . During  the  first  quarter of 1998, The Department of Housing and Urban
Development  (HUD) issued a tremendous amount of adjustable-rate securities. HUD
actually  issued  so  much  that it reached the limits of what it can issue each
year  by  government  mandate.  Hence in May of this year, HUD announced that it
would  be  forced  to  discontinue  the  GNMA  adjustable-rate  program  for the
remainder  of  its financial reporting year. This was a shock to the market, and
caused  a demand surge in GNMA ARMs as investors rushed to purchase as many ARMs
as  possible. This extra demand, with falling future supply, pushed the price of
GNMA ARMs up beyond their fair market value. At that point in time we decided it
was  a good opportunity to decrease our position and take profits. So we reduced
this  position.  Once  this  program  opens  up  again,  we will look for a more
suitable time to re-enter the GNMA ARM market.

  Thank  you  for  your  confidence in Dreyfus. We look forward to continuing to
serve your investment needs.

               Sincerely,



               [Michael Hoeh signature logo]


               Michael Hoeh

               Portfolio Manager

August 10, 1998

New York, N.Y.

*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.

**Distribution  rate per share is based upon dividends per share paid from net
investment  income  during  the  period  (annualized) , divided  by  the maximum
offering  price  per  share  at  the  end  of the period, in the case of Class A
shares,  or  the  net  asset  value  per share in the case of Class B or Class C
shares.

***SOURCE:  LEHMAN  BROTHERS -- The Lehman Brothers GNMA Index is an unmanaged
total  return  performance  benchmark for the GNMA market, consisting of 15- and
30-year fixed-rate GNMA securities.

<TABLE>
DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                            JUNE 30, 1998 (UNAUDITED)

                                                                                                   Principal

Bonds--110.5%                                                                                       Amount              Value
- -------------------------------------------------------                                         _____________      ____________
_

Mortgage-Backed Securities:

Government National Mortgage Association I:
<S>                                                                                             <C>               <C>
  6 1/2%, 11/15/2007-5/15/2012  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $  19,470,956       $  19,767,358

  6 1/2%, 5/15/2009 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         5,207,497      (a)  5,285,610

  6 1/2%, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           5,000,000 (b)       4,984,350

  7%, 6/15/2009  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        4,045,332 (a)       4,170,455

  7% . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       14,900,000 (b)      15,120,350

  7 1/2%, 3/15/2002-12/15/2027  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        28,304,356          29,249,600

  8%, 4/15/2008  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        4,878,702 (a)       5,140,932

  8%, 12/15/2021-1/15/2022 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          667,350             699,256

  8 1/2%, 10/15/2017-12/15/2022 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4,201,045           4,495,492

  9%, 4/15/2016-12/15/2022 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        5,030,264           5,463,648

  9 1/2%, 10/15/2016-1/15/2025  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         4,852,479           5,280,368

  11 1/2%, 1/15/2013  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           105,504             115,307

                                                                                                                  _____________

                                                                                                                     99,772,726

                                                                                                                  _____________

Government National Mortgage Association I,

 Project Loans:

  6 3/8%, 2/15/2028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,496,300         1,495,357

  6 1/2%  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            935,000 (b)       940,545

  6 5/8%, 3/15/2033 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,993,298         4,041,937

  7%, 5/15/2030  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,992,677         2,072,384

  7 1/2%, 12/15/2019  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            959,188         1,001,449

  9 1/4%, 10/15/2023  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,717,055 (a)     5,094,419

                                                                                                                  _____________

                                                                                                                     14,646,091

                                                                                                                  _____________

Government National Mortgage Association II:

  4 1/2%, 5/20/2028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           6,930,006 (c)    6,826,056

  5%, 4/20/2028  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          13,580,567 (c)   13,521,084

  5 1/2%, 4/20/2028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           7,039,777 (c)    7,070,541

  9%, 7/20/2025  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,168,467         4,458,925

  11%, 12/20/2013-10/20/2015 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,272,274         1,444,005

                                                                                                                  _____________

                                                                                                                     33,320,611

                                                                                                                  _____________

TOTAL BONDS

  (cost $144,509,632)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $147,739,428

                                                                                                                  _____________


DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                JUNE 30, 1998 (UNAUDITED)

                                                                                                  Principal

Short-Term Investments--3.4%                                                                        Amount             Value
- -------------------------------------------------------                                         _____________      ____________

U.S. Treasury Bills:

  5.18%, 9/17/1998 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $  4,529,000 (a)   $ 4,481,083

  5.08%, 10/1/1998 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             95,000 (a)        93,793

                                                                                                                  _____________

  (cost $4,573,966)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $    4,574,876

                                                                                                                  _____________


TOTAL INVESTMENTS

  (cost $149,083,598)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               113.9%    $152,314,304

                                                                                                       _______    _____________


LIABILITIES, LESS CASH AND RECEIVABLES . . . . . . . . . . . . . . . . . . . . . . . . . .               (13.9%)  ($ 18,634,164)

                                                                                                       _______    _____________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             100.0%      $133,680,140


                                                                                                       _______    _____________

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

(a)Held  by the custodian in a segregated account as collateral for securities
 purchased on a forward commitment basis.

(b)  Purchased on a forward commitment basis.

(c)  Adjustable rate mortgage-interest rate subject to change periodically.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                 JUNE 30, 1998 (UNAUDITED)

                                                                                                    Cost              Value

                                                                                                _____________     _____________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments .       $149,083,598      $152,314,304

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            2,798,774

                                 Receivable for investment securities sold . . . . . . . .                            7,553,404

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                              799,113

                                 Receivable for shares of Beneficial Interest subscribed .                              525,027

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                               23,211

                                                                                                                  _____________

                                                                                                                    164,013,833

                                                                                                                  _____________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                               85,687

                                 Due to Distributor  . . . . . . . . . . . . . . . . . . .                               36,564

                                 Payable for investment securities purchased . . . . . . .                           30,062,166

                                 Payable for shares of Beneficial Interest redeemed  . . .                               62,340

                                 Accrued expenses  . . . . . . . . . . . . . . . . . . . .                               86,936

                                                                                                                  _____________

                                                                                                                     30,333,693

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $133,680,140

                                                                                                                  _____________


REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $135,860,486

                                 Accumulated undistributed investment income--net  . . . .                                   44

                                 Accumulated net realized gain (loss) on investments . . .                          (5,411,096)

                                 Accumulated net unrealized appreciation (depreciation)
                                   on investments--Note 4  . . . . . . . . . . . . . . . .                            3,230,706

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $133,680,140

                                                                                                                  _____________

                                                                                                                  _____________

                                           NET ASSET VALUE PER SHARE

                              _____________________________________________________

                                                                                Class A           Class B           Class C

                                                                              ____________      ____________      ____________

Net Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $95,260,367        $37,799,654          $620,119

Shares Outstanding . . . . . . . . . . . . . . . . . . . . . . . . . . . .       6,423,707          2,546,767            41,784

NET ASSET VALUE PER SHARE. . . . . . . . . . . . . . . . . . . . . . . . .          $14.83             $14.84            $14.84

                                                                                   _______            _______           _______

                                                                                   _______            _______           _______

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS            SIX MONTHS ENDED JUNE 30, 1998 (UNAUDITED)

INVESTMENT INCOME
<S>                                                                                               <C>                <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . . . . . .                           $4,443,824

EXPENSES:                        Management fee--Note 3(a) . . . . . . . . . . . . . . . .        $   364,160

                                 Shareholder servicing costs--Note 3(c)  . . . . . . . . .            238,730

                                 Distribution fees--Note 3(b)  . . . . . . . . . . . . . .             96,480

                                 Registration fees . . . . . . . . . . . . . . . . . . . .             26,553

                                 Professional fees . . . . . . . . . . . . . . . . . . . .             23,210

                                 Custodian fees--Note 3(c) . . . . . . . . . . . . . . . .             20,495

                                 Trustees' fees and expenses--Note 3(d)  . . . . . . . . .             16,916

                                 Prospectus and shareholders' reports  . . . . . . . . . .             10,977

                                 Loan commitment fees--Note 2  . . . . . . . . . . . . . .                849

                                 Miscellaneous . . . . . . . . . . . . . . . . . . . . . .                136

                                                                                                   ___________

                                    Total Expenses . . . . . . . . . . . . . . . . . . . .                              798,506

                                                                                                                    ___________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                            3,645,318

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

                                 Net realized gain (loss) on investments . . . . . . . . .         $1,131,565

                                 Net unrealized appreciation (depreciation) on investments . .      (545,673)

                                                                                                  ___________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS . . . . . . . . . . . . . . . . . .                              585,892

                                                                                                                    ___________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . . . . . .                           $4,231,210

                                                                                                                    ___________

                                                                                                                    ___________

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                        Six Months Ended

                                                                                          June 30, 1998           Year Ended

                                                                                           (Unaudited)         December 31, 1997

                                                                                        ________________      ________________


OPERATIONS:
<S>                                                                                     <C>                   <C>
  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      $    3,645,318        $    8,000,888

  Net realized gain (loss) on investments  . . . . . . . . . . . . . . . . . . . .           1,131,565               897,569

  Net unrealized appreciation (depreciation) on investments  . . . . . . . . . . .           (545,673)             2,761,124

                                                                                         _____________          _____________

         Net Increase (Decrease) in Net Assets Resulting from Operations . . . . .           4,231,210            11,659,581

                                                                                         _____________          _____________

DIVIDENDS TO SHAREHOLDERS FROM:

 Investment income--net:

    Class A shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (2,661,673)           (5,918,534)

    Class B shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           (983,901)           (2,072,934)

    Class C shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             (7,453)               (1,667)

                                                                                          _____________          _____________

         Total Dividends . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (3,653,027)           (7,993,135)

                                                                                          _____________          _____________
BENEFICIAL INTEREST TRANSACTIONS:


 Net proceeds from shares sold:

    Class A shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          30,626,612            32,138,926

    Class B shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           3,293,413             4,659,005

    Class C shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             517,351               107,034

  Dividends reinvested:

    Class A shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,808,157             4,022,706

    Class B shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             693,710             1,431,495

    Class C shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               6,739                 1,502

  Cost of shares redeemed:

    Class A shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (32,652,005)          (54,989,643)

    Class B shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (5,133,636)           (8,182,513)

    Class C shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (13,861)              (16,644)

                                                                                         _____________          _____________

         Increase (Decrease) in Net Assets from Beneficial Interest Transactions . .         (853,520)          (20,828,132)

                                                                                         _____________          _____________

             Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . .           (275,337)          (17,161,686)

NET ASSETS:

  Beginning of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         133,955,477           151,117,163

                                                                                         _____________          _____________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        $133,680,140          $133,955,477

                                                                                         _____________          _____________

                                                                                         _____________          _____________

UNDISTRIBUTED INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . .  $               44  $              7,753

                                                                                         _____________          _____________

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS (CONTINUED)

                                                                                                      Shares

                                                                                             ____________________________

                                                                                          Six Months Ended

                                                                                            June 30, 1998      Year Ended

                                                                                             (Unaudited)       December 31, 1997

                                                                                           _______________     ________________
________________

CAPITAL SHARE TRANSACTIONS:

 Class A

 ________
<S>                                                                                         <C>                   <C>
   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,064,005             2,194,845

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . .            121,912               277,860

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (2,201,318)           (3,775,941)

                                                                                          __________            __________

             Net Increase (Decrease) in Shares Outstanding . . . . . . . . . . . .           (15,401)           (1,303,236)

                                                                                          __________            __________

                                                                                          __________            __________

  Class B

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            221,831               320,620

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . .             46,741                98,717

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (345,826)             (564,582)

                                                                                          __________            __________

             Net Increase (Decrease) in Shares Outstanding . . . . . . . . . . . .           (77,254)             (145,245)

                                                                                          __________            __________

                                                                                          __________            __________

  Class C

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             34,837                 7,322

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . .                454                   103

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              (932)               (1,160)

                                                                                           __________            __________

             Net Increase (Decrease) in Shares Outstanding . . . . . . . . . . . .             34,359                 6,265

                                                                                           __________            __________

                                                                                           __________            __________

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

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


                                                                                  Class A Shares

                                                                    _______________________________________________

                                                        Six Months Ended

                                                          June 30, 1998                 Year Ended December 31,

                                                                          _________________________________________________

PER SHARE DATA:                                           (Unaudited)     1997       1996        1995        1994       1993
                                                          __________     ______     ______      ______      ______     ______
<S>                                                          <C>          <C>         <C>         <C>        <C>         <C>
   Net asset value, beginning of period  . . . . . .         $14.76       $14.37      $14.66      $13.54     $14.84      $14.90

                                                            ______       ______     ______      ______      ______     ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . .            .42          .85         .88         .91        .88         .95

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . . .            .07          .39       (.29)        1.12     (1.30)         .24

                                                            ______       ______     ______      ______      ______     ______

   Total from Investment Operations  . . . . . . . .            .49         1.24         .59        2.03      (.42)        1.19

                                                            ______       ______     ______      ______      ______     ______

   Distributions:

   Dividends from investment income--net . . . . . .          (.42)        (.85)       (.88)       (.91)      (.88)       (.95)

   Dividends from net realized gain on investments . .           --           --          --          --         --       (.30)

                                                            ______       ______     ______      ______      ______     ______

   Total Distributions . . . . . . . . . . . . . . .          (.42)        (.85)       (.88)       (.91)      (.88)      (1.25)

                                                            ______       ______     ______      ______      ______     ______

   Net asset value, end of period  . . . . . . . . .         $14.83       $14.76      $14.37      $14.66     $13.54      $14.84

                                                            ______       ______     ______      ______      ______     ______

                                                            ______       ______     ______      ______      ______     ______

TOTAL INVESTMENT RETURN(1) . . . . . . . . . . . . .       6.72%(2)        8.91%       4.25%      15.43%    (2.91%)       8.20%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . .       1.06%(2)        1.05%       1.04%       1.03%       .94%        .78%

   Ratio of net investment income
       to average net assets . . . . . . . . . . . .       5.65%(2)        5.87%       6.17%       6.45%      6.20%       6.24%

   Decrease reflected in above expense ratios
       due to undertakings by the Manager  . . . . .             --           --          --          --       .06%        .22%

   Portfolio Turnover Rate . . . . . . . . . . . . .      98.07%(3)      518.62%     267.22%     349.24%    427.27%     274.95%

   Net Assets, end of period (000's Omitted) . . . .        $95,260      $95,071    $111,267    $134,545   $141,456    $197,239
- -----------------------------

(1)  Exclusive of sales load.

(2)  Annualized

(3)  Not annualized

                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS (CONTINUED)

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


                                                                                  Class B Shares

                                                           _________________________________________________________________

                                                        Six Months Ended

                                                         June 30, 1998                  Year Ended December 31,
                                                                          ______________________________________________________

PER SHARE DATA:                                            (Unaudited)     1997       1996        1995        1994      1993(1)
                                                           __________     ______     ______      ______      ______     ______

   Net asset value, beginning of period  . . . . . .         $14.78       $14.38      $14.67      $13.55     $14.84      $14.98

                                                             _______      _______    _______     _______    _______     _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . .            .38          .78         .81         .84        .80         .83

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . . .            .06          .40       (.29)        1.12     (1.29)         .16

                                                               ______       ______     ______      ______      ______     ______

   Total from Investment Operations  . . . . . . . .            .44         1.18         .52        1.96      (.49)         .99

                                                               ______       ______     ______      ______      ______     ______

   Distributions:

   Dividends from investment income--net . . . . . .          (.38)        (.78)       (.81)       (.84)      (.80)       (.83)

   Dividends from net realized gain on investments . .           --           --          --          --         --       (.30)

                                                               ______       ______     ______      ______      ______     ______

   Total Distributions . . . . . . . . . . . . . . .          (.38)        (.78)       (.81)       (.84)      (.80)      (1.13)

                                                              ______       ______     ______      ______      ______     ______

   Net asset value, end of period  . . . . . . . . .         $14.84       $14.78      $14.38      $14.67     $13.55      $14.84

                                                              ______       ______     ______      ______      ______     ______

                                                              ______       ______     ______      ______      ______     ______

TOTAL INVESTMENT RETURN(2) . . . . . . . . . . . . .       6.07%(3)        8.43%       3.71%      14.83%    (3.39%)    7.03%(3)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . .       1.56%(3)        1.55%       1.55%       1.55%      1.51%    1.30%(3)

   Ratio of net investment income
       to average net assets . . . . . . . . . . . .       5.15%(3)        5.36%       5.65%       5.89%      5.61%    5.38%(3)

   Decrease reflected in above expense ratios
       due to undertakings by the Manager  . . . . .             --           --          --          --       .05%     .20%(3)

   Portfolio Turnover Rate . . . . . . . . . . . . .      98.07%(4)      518.62%     267.22%     349.24%    427.27%     274.95%

   Net Assets, end of period (000's Omitted) . . . .        $37,800      $38,775     $39,833     $41,934    $35,710     $29,648
- -----------------------------

(1)  From January 15, 1993 (commencement of initial offering) to December 31, 1993.

(2)  Exclusive of sales load.

(3)  Annualized.

(4)  Not annualized

                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS (CONTINUED)

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

                                                                                       Class C Shares

                                                                               _______________________________________________

                                                                           Six Months Ended

                                                                             June 30,1998           Year Ended December 31,

PER SHARE DATA:                                                               (Unaudited)         1997        1996       1995(1)
                                                                             ________________    ______      ______       ______

   Net asset value, beginning of period  . . . . . . . . . . . . .               $14.77           $14.38     $14.67      $14.48

                                                                                  ______           ______      ______     ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . . . . .                  .35              .75        .77         .16

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . . . . . . . . . .                  .07              .39      (.29)         .19

                                                                                   ______           ______      ______    ______

   Total from Investment Operations  . . . . . . . . . . . . . . .                  .42             1.14        .48         .35

                                                                                   ______           ______      ______    ______

   Distributions:

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

                                                                                  ______           ______      ______    ______

   Net asset value, end of period  . . . . . . . . . . . . . . . .               $14.84           $14.77     $14.38      $14.67

                                                                                ______           ______      ______      ______

                                                                                ______           ______      ______      ______

TOTAL INVESTMENT RETURN(2) . . . . . . . . . . . . . . . . . . . .             5.79%(3)            8.13%      3.44%   11.47%(3)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . . . . .             1.81%(3)            1.80%      1.79%    1.79%(3)

   Ratio of net investment income
       to average net assets . . . . . . . . . . . . . . . . . . .             4.59%(3)            5.11%      5.42%    5.25%(3)

   Portfolio Turnover Rate . . . . . . . . . . . . . . . . . . . .            98.07%(4)          518.62%    267.22%     349.24%

   Net Assets, end of period (000's Omitted) . . . . . . . . . . .                 $620             $110        $17          $1
- -----------------------------

(1)  From October 16, 1995 (commencement of initial offering) to December 31, 1995.

(2)  Exclusive of sales load.

(3)  Annualized.

(4)  Not annualized
</TABLE>
                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

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  (" 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 ("Manager") serves as the Fund's investment
adviser. The Manager is a direct subsidiary of Mellon Bank, N.A. ("Mellon").

  Premier  Mutual  Fund Services, Inc. (the "Distributor") is the distributor of
the  Fund's shares. 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 shares redeemed within one
year  of  purchase.  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.

  (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.
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
custodian agreement, the Fund received net earnings credits of $5,315 during the
period  ended  June  30,  1998 based on available cash balances left on deposit.
Income earned under this arrangement is included in interest income.

  (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. 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 Internal

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

Revenue  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 $6,548,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized subsequent to December 31, 1997. 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 $600 million
redemption  credit  facility  (" 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, 1998, 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.

  (B)  Under the Distribution Plan adopted pursuant to Rule 12b-1 under the Act,
the  Fund  pays  the Distributor for distributing the Fund's Class B and Class C
shares  at  an  annual  rate  of .50 of 1% of the value of the 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, 1998, Class B and
Class  C  shares  were charged $95,258 and $1,222, respectively, pursuant to the
Distribution Plan.

  (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 the 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, 1998, Class A, Class B and Class C
shares  were  charged  $117,491, $47,629 and $408, respectively, pursuant to the
Shareholder Services Plan.

  The  Fund compensates Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities  to  perform transfer agency services for the Fund. During the period
ended  June  30,  1998,  the  Fund  was charged $50,152 pursuant to the transfer
agency agreement.

  The  Fund  compensates  Mellon  under a custody agreement to provide custodial
services  for  the  Fund.  During  the  period ended June 30, 1998, the Fund was
charged $20,495 pursuant to the custody agreement.

  (D)  Each  trustee  who  is  not  an "affiliated person" as defined in the Act
receives from the Fund an annual fee of $2,500 and an attendance fee of $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

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,
1998 amounted to $150,597,944 and $158,233,732, respectively.

  At  June  30, 1998, accumulated net unrealized appreciation on investments was
$3,230,706,  consisting  of $3,285,206 gross unrealized appreciation and $54,500
gross unrealized depreciation.

  At  June 30, 1998, 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).
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

One Mellon Bank Center

Pittsburgh, PA 15258

TRANSFER AGENT &

DIVIDEND DISBURSING AGENT

Dreyfus Transfer, Inc.

P.O. Box 9671

Providence, RI 02940













Printed in U.S.A.                                      027/614/665SA986

                              SEMI-ANNUAL REPORT
- -------------------------------------------------------------------------------

                                DREYFUS PREMIER

                                   GNMA FUND
- -------------------------------------------------------------------------------

                                 JUNE 30, 1998

                                   (reg.tm)

                                   [reg.tm signature logo]



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