<PAGE> PAGE 1
000 B000000 12/31/98
000 C000000 0000804171
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0.a
000 J000000 U
001 A000000 DREYFUS PREMIER GNMA FUND
001 B000000 811-4880
001 C000000 2129226840
002 A000000 200 PARK AVENUE
002 B000000 NEW YORK
002 C000000 NY
002 D010000 10166
003 000000 N
004 000000 N
005 000000 N
006 000000 N
007 A000000 N
007 B000000 0
008 A000001 THE DREYFUS CORPORATION
008 B000001 A
008 C000001 801-8147
008 D010001 NEW YORK
008 D020001 NY
008 D030001 10166
011 A000001 PREMIER MUTUAL FUND SERVICES, INC.
011 B000001 8-47312
011 C010001 BOSTON
011 C020001 MA
011 C030001 02109
012 A000001 DREYFUS TRANSFER, INC.
012 B000001 85-11312
012 C010001 PROVIDENCE
012 C020001 RI
012 C030001 02940
012 C040001 9671
013 A000001 ERNST & YOUNG LLP
013 B010001 NEW YORK
013 B020001 NY
013 B030001 10019
015 A000001 MELLON BANK, N.A.
015 B000001 C
015 C010001 PITTSBURGH
015 C020001 PA
015 C030001 15258
015 E030001 X
018 000000 Y
019 A000000 Y
<PAGE> PAGE 2
019 B000000 163
019 C000000 DREYFUSFAM
022 A000001 G.X. CLARKE & CO.
022 B000001 13-2969143
022 C000001 173581
022 D000001 149454
022 A000002 GREENWICH PARTNERS, INC.
022 B000002 13-3176013
022 C000002 56673
022 D000002 88099
022 A000003 GOLDMAN, SACHS & CO.
022 B000003 13-5108880
022 C000003 68125
022 D000003 41550
022 A000004 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000004 13-5674085
022 C000004 51605
022 D000004 46442
022 A000005 BEAR, STEARNS & CO. INC.
022 B000005 13-3299429
022 C000005 44885
022 D000005 45779
022 A000006 DEUTSCHE BANK SECURITIES CORPORATION
022 B000006 13-2730828
022 C000006 60267
022 D000006 28068
022 A000007 MORGAN STANLEY DEAN WITTER INCORPORATED
022 B000007 13-2655998
022 C000007 36736
022 D000007 30294
022 A000008 CS FIRST BOSTON CORPORATION
022 B000008 13-5659485
022 C000008 21783
022 D000008 44992
022 A000009 PRUDENTIAL SECURITIES INCORPORATED
022 B000009 22-2347336
022 C000009 33871
022 D000009 25399
022 A000010 NOMURA SECURITIES INTERNATIONAL, INC.
022 B000010 13-2642206
022 C000010 19731
022 D000010 31320
023 C000000 599321
023 D000000 609912
028 A010000 7276
028 A020000 389
028 A030000 0
028 A040000 7294
028 B010000 6356
028 B020000 401
028 B030000 0
<PAGE> PAGE 3
028 B040000 5489
028 C010000 9725
028 C020000 398
028 C030000 0
028 C040000 8988
028 D010000 7753
028 D020000 396
028 D030000 0
028 D040000 8097
028 E010000 2285
028 E020000 382
028 E030000 0
028 E040000 2508
028 F010000 3914
028 F020000 388
028 F030000 0
028 F040000 2783
028 G010000 37309
028 G020000 2354
028 G030000 0
028 G040000 35159
028 H000000 25440
029 000000 Y
030 A000000 89
030 B000000 4.50
030 C000000 0.00
031 A000000 3
031 B000000 0
032 000000 86
033 000000 0
034 000000 Y
035 000000 39
036 A000000 N
036 B000000 0
037 000000 N
038 000000 0
039 000000 N
040 000000 Y
041 000000 Y
042 A000000 0
042 B000000 0
042 C000000 100
042 D000000 0
042 E000000 0
042 F000000 0
042 G000000 0
042 H000000 0
043 000000 202
044 000000 0
045 000000 Y
046 000000 N
<PAGE> PAGE 4
047 000000 Y
048 000000 0.550
048 A010000 0
048 A020000 0.000
048 B010000 0
048 B020000 0.000
048 C010000 0
048 C020000 0.000
048 D010000 0
048 D020000 0.000
048 E010000 0
048 E020000 0.000
048 F010000 0
048 F020000 0.000
048 G010000 0
048 G020000 0.000
048 H010000 0
048 H020000 0.000
048 I010000 0
048 I020000 0.000
048 J010000 0
048 J020000 0.000
048 K010000 0
048 K020000 0.000
049 000000 N
050 000000 N
051 000000 N
052 000000 N
053 A000000 N
055 A000000 Y
055 B000000 Y
056 000000 N
057 000000 N
058 A000000 N
059 000000 Y
060 A000000 Y
060 B000000 Y
061 000000 1000
062 A000000 Y
062 B000000 10.0
062 C000000 0.0
062 D000000 0.0
062 E000000 0.0
062 F000000 0.0
062 G000000 0.0
062 H000000 0.0
062 I000000 0.0
062 J000000 0.0
062 K000000 0.0
062 L000000 0.0
062 M000000 0.0
<PAGE> PAGE 5
062 N000000 113.4
062 O000000 0.0
062 P000000 0.0
062 Q000000 0.0
062 R000000 0.0
063 A000000 0
063 B000000 21.2
064 A000000 N
071 A000000 425740
071 B000000 424196
071 C000000 149788
071 D000000 283
072 A000000 12
072 B000000 8735
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 740
072 G000000 0
072 H000000 0
072 I000000 464
072 J000000 34
072 K000000 0
072 L000000 22
072 M000000 37
072 N000000 58
072 O000000 1
072 P000000 1
072 Q000000 0
072 R000000 37
072 S000000 11
072 T000000 202
072 U000000 0
072 V000000 0
072 W000000 14
072 X000000 1621
072 Y000000 0
072 Z000000 7114
072AA000000 3347
072BB000000 550
072CC010000 0
072CC020000 1696
072DD010000 5149
072DD020000 1967
072EE000000 0
073 A010000 0.0000
073 A020000 0.0000
073 B000000 0.0000
073 C000000 0.0000
074 A000000 513
074 B000000 0
<PAGE> PAGE 6
074 C000000 13884
074 D000000 157342
074 E000000 0
074 F000000 0
074 G000000 0
074 H000000 0
074 I000000 0
074 J000000 7193
074 K000000 0
074 L000000 879
074 M000000 15
074 N000000 179826
074 O000000 40870
074 P000000 90
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 161
074 S000000 0
074 T000000 138705
074 U010000 6339
074 U020000 2975
074 V010000 0.00
074 V020000 0.00
074 W000000 0.0000
074 X000000 5007
074 Y000000 27725
075 A000000 0
075 B000000 94617
076 000000 0.00
077 A000000 Y
077 B000000 Y
077 Q010000 Y
078 000000 N
080 A000000 VIGILANT INSURANCE COMPANY
080 B000000 NATIONAL UNION FIRE INS. CO. OF PITTSBURGH PA
080 C000000 125000
081 A000000 Y
081 B000000 182
082 A000000 N
082 B000000 0
083 A000000 N
083 B000000 0
084 A000000 N
084 B000000 0
085 A000000 Y
085 B000000 N
SIGNATURE MICHAEL S. PETRUCELLI
TITLE V.P. AND ASST. TREAS
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000804171
<NAME> DREYFUS PREMIER GNMA FUND
<SERIES>
<NUMBER> 01
<NAME> CLASS A
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> DEC-31-1998
<PERIOD-END> DEC-31-1998
<INVESTMENTS-AT-COST> 169146
<INVESTMENTS-AT-VALUE> 171226
<RECEIVABLES> 8072
<ASSETS-OTHER> 528
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 179826
<PAYABLE-FOR-SECURITIES> 40870
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 251
<TOTAL-LIABILITIES> 41121
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 140364
<SHARES-COMMON-STOCK> 6339
<SHARES-COMMON-PRIOR> 6439
<ACCUMULATED-NII-CURRENT> 6
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (3745)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 2080
<NET-ASSETS> 94369
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 8735
<OTHER-INCOME> 0
<EXPENSES-NET> 1621
<NET-INVESTMENT-INCOME> 7114
<REALIZED-GAINS-CURRENT> 2797
<APPREC-INCREASE-CURRENT> (1696)
<NET-CHANGE-FROM-OPS> 8215
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (5149)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 3777
<NUMBER-OF-SHARES-REDEEMED> (4112)
<SHARES-REINVESTED> 235
<NET-CHANGE-IN-ASSETS> 4749
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (6543)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 740
<INTEREST-EXPENSE> 1
<GROSS-EXPENSE> 1621
<AVERAGE-NET-ASSETS> 94617
<PER-SHARE-NAV-BEGIN> 14.76
<PER-SHARE-NII> .810
<PER-SHARE-GAIN-APPREC> .130
<PER-SHARE-DIVIDEND> (.810)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 14.89
<EXPENSE-RATIO> .011
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000804171
<NAME> DREYFUS PREMIER GNMA FUND
<SERIES>
<NUMBER> 02
<NAME> CLASS B
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> DEC-31-1998
<PERIOD-END> DEC-31-1998
<INVESTMENTS-AT-COST> 169146
<INVESTMENTS-AT-VALUE> 171226
<RECEIVABLES> 8072
<ASSETS-OTHER> 528
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 179826
<PAYABLE-FOR-SECURITIES> 40870
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 251
<TOTAL-LIABILITIES> 41121
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 140364
<SHARES-COMMON-STOCK> 2803
<SHARES-COMMON-PRIOR> 2624
<ACCUMULATED-NII-CURRENT> 6
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (3745)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 2080
<NET-ASSETS> 41775
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 8735
<OTHER-INCOME> 0
<EXPENSES-NET> 1621
<NET-INVESTMENT-INCOME> 7114
<REALIZED-GAINS-CURRENT> 2797
<APPREC-INCREASE-CURRENT> (1696)
<NET-CHANGE-FROM-OPS> 8215
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (1927)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 862
<NUMBER-OF-SHARES-REDEEMED> (772)
<SHARES-REINVESTED> 90
<NET-CHANGE-IN-ASSETS> 4749
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (6543)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 740
<INTEREST-EXPENSE> 1
<GROSS-EXPENSE> 1621
<AVERAGE-NET-ASSETS> 39077
<PER-SHARE-NAV-BEGIN> 14.78
<PER-SHARE-NII> .730
<PER-SHARE-GAIN-APPREC> .120
<PER-SHARE-DIVIDEND> (.730)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 14.90
<EXPENSE-RATIO> .016
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000804171
<NAME> DREYFUS PREMIER GNMA FUND
<SERIES>
<NUMBER> 03
<NAME> CLASS C
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> DEC-31-1998
<PERIOD-END> DEC-31-1998
<INVESTMENTS-AT-COST> 169146
<INVESTMENTS-AT-VALUE> 171226
<RECEIVABLES> 8072
<ASSETS-OTHER> 528
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 179826
<PAYABLE-FOR-SECURITIES> 40870
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 251
<TOTAL-LIABILITIES> 41121
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 140364
<SHARES-COMMON-STOCK> 172
<SHARES-COMMON-PRIOR> 8
<ACCUMULATED-NII-CURRENT> 6
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (3745)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 2080
<NET-ASSETS> 2561
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 8735
<OTHER-INCOME> 0
<EXPENSES-NET> 1621
<NET-INVESTMENT-INCOME> 7114
<REALIZED-GAINS-CURRENT> 2797
<APPREC-INCREASE-CURRENT> (1696)
<NET-CHANGE-FROM-OPS> 8215
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (40)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 193
<NUMBER-OF-SHARES-REDEEMED> (30)
<SHARES-REINVESTED> 1
<NET-CHANGE-IN-ASSETS> 4749
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (6543)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 740
<INTEREST-EXPENSE> 1
<GROSS-EXPENSE> 1621
<AVERAGE-NET-ASSETS> 907
<PER-SHARE-NAV-BEGIN> 14.77
<PER-SHARE-NII> .680
<PER-SHARE-GAIN-APPREC> .130
<PER-SHARE-DIVIDEND> (.680)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 14.90
<EXPENSE-RATIO> .018
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
