<PAGE> PAGE 1
000 A000000 06/30/98
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
018 000000 Y
019 A000000 Y
019 B000000 160
019 C000000 DREYFUSFAM
022 A000001 G.X. CLARKE & CO.
022 B000001 13-2969143
022 C000001 68709
022 D000001 57616
022 A000002 GREENWICH PARTNERS, INC.
022 B000002 13-3176013
022 C000002 41479
022 D000002 50056
022 A000003 BEAR, STEARNS & CO. INC.
022 B000003 13-3299429
022 C000003 12115
022 D000003 41330
022 A000004 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000004 13-5674085
022 C000004 29285
022 D000004 18337
022 A000005 DEUTSCHE BANK SECURITIES CORPORATION
022 B000005 13-2730828
022 C000005 34765
022 D000005 5623
022 A000006 MORGAN STANLEY & CO. INCORPORATED
022 B000006 13-2655998
022 C000006 17731
022 D000006 16169
022 A000007 PRUDENTIAL SECURITIES INCORPORATED
<PAGE> PAGE 2
022 B000007 22-2347336
022 C000007 12150
022 D000007 15231
022 A000008 SALOMON BROTHERS INC.
022 B000008 13-3082694
022 C000008 0
022 D000008 24649
022 A000009 NOMURA SECURITIES INTERNATIONAL, INC.
022 B000009 13-2642206
022 C000009 0
022 D000009 8336
022 A000010 CS FIRST BOSTON CORPORATION
022 B000010 13-5659485
022 C000010 1829
022 D000010 5559
023 C000000 219307
023 D000000 255918
026 A000000 Y
026 B000000 Y
026 C000000 N
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 Y
027 000000 Y
028 A010000 3778
028 A020000 434
028 A030000 0
028 A040000 4698
028 B010000 2518
028 B020000 442
028 B030000 0
028 B040000 3275
028 C010000 5419
028 C020000 425
028 C030000 0
028 C040000 6482
028 D010000 7565
028 D020000 410
028 D030000 0
028 D040000 8221
028 E010000 6676
028 E020000 390
028 E030000 0
028 E040000 7015
028 F010000 8481
028 F020000 408
028 F030000 0
028 F040000 8109
<PAGE> PAGE 3
028 G010000 34437
028 G020000 2509
028 G030000 0
028 G040000 37800
028 H000000 30627
029 000000 Y
030 A000000 26
030 B000000 4.50
030 C000000 0.00
031 A000000 2
031 B000000 0
032 000000 24
033 000000 0
034 000000 Y
035 000000 34
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 96
044 000000 0
045 000000 Y
046 000000 N
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
<PAGE> PAGE 4
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
053 A000000 N
054 A000000 Y
054 B000000 Y
054 C000000 Y
054 D000000 N
054 E000000 N
054 F000000 N
054 G000000 Y
054 H000000 N
054 I000000 N
054 J000000 Y
054 K000000 N
054 L000000 Y
054 M000000 Y
054 N000000 N
054 O000000 Y
062 A000000 Y
062 B000000 3.4
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
062 N000000 110.5
062 O000000 0.0
062 P000000 0.0
062 Q000000 0.0
062 R000000 0.0
063 A000000 0
063 B000000 22.6
064 A000000 N
066 A000000 N
067 000000 N
068 A000000 N
068 B000000 N
069 000000 N
070 A010000 N
070 A020000 N
<PAGE> PAGE 5
070 B010000 N
070 B020000 N
070 C010000 N
070 C020000 N
070 D010000 N
070 D020000 N
070 E010000 N
070 E020000 N
070 F010000 N
070 F020000 N
070 G010000 N
070 G020000 N
070 H010000 N
070 H020000 N
070 I010000 N
070 I020000 N
070 J010000 Y
070 J020000 N
070 K010000 N
070 K020000 N
070 L010000 N
070 L020000 N
070 M010000 N
070 M020000 N
070 N010000 N
070 N020000 N
070 O010000 Y
070 O020000 Y
070 P010000 Y
070 P020000 N
070 Q010000 N
070 Q020000 N
070 R010000 N
070 R020000 N
071 A000000 150598
071 B000000 158234
071 C000000 153565
071 D000000 98
072 A000000 6
072 B000000 4444
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 364
072 G000000 0
072 H000000 0
072 I000000 239
072 J000000 20
072 K000000 0
072 L000000 11
072 M000000 17
<PAGE> PAGE 6
072 N000000 27
072 O000000 1
072 P000000 1
072 Q000000 0
072 R000000 19
072 S000000 4
072 T000000 96
072 U000000 0
072 V000000 0
072 W000000 0
072 X000000 799
072 Y000000 0
072 Z000000 3645
072AA000000 1309
072BB000000 177
072CC010000 0
072CC020000 546
072DD010000 2662
072DD020000 991
072EE000000 0
073 A010000 0.0000
073 A020000 0.0000
073 B000000 0.0000
073 C000000 0.0000
074 A000000 2799
074 B000000 0
074 C000000 4575
074 D000000 147739
074 E000000 0
074 F000000 0
074 G000000 0
074 H000000 0
074 I000000 0
074 J000000 7554
074 K000000 0
074 L000000 1324
074 M000000 23
074 N000000 164014
074 O000000 30062
074 P000000 86
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 186
074 S000000 0
074 T000000 133680
074 U010000 6424
074 U020000 2588
074 V010000 0.00
074 V020000 0.00
<PAGE> PAGE 7
074 W000000 0.0000
074 X000000 4966
074 Y000000 0
075 A000000 0
075 B000000 94772
076 000000 0.00
077 A000000 N
078 000000 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> 6-MOS
<FISCAL-YEAR-END> DEC-31-1998
<PERIOD-END> JUN-30-1998
<INVESTMENTS-AT-COST> 149084
<INVESTMENTS-AT-VALUE> 152314
<RECEIVABLES> 8878
<ASSETS-OTHER> 2822
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 164014
<PAYABLE-FOR-SECURITIES> 30062
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 272
<TOTAL-LIABILITIES> 30334
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 135860
<SHARES-COMMON-STOCK> 6423
<SHARES-COMMON-PRIOR> 6439
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (5411)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 3231
<NET-ASSETS> 95260
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 4444
<OTHER-INCOME> 0
<EXPENSES-NET> 799
<NET-INVESTMENT-INCOME> 3645
<REALIZED-GAINS-CURRENT> 1132
<APPREC-INCREASE-CURRENT> (546)
<NET-CHANGE-FROM-OPS> 4231
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (2662)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 2064
<NUMBER-OF-SHARES-REDEEMED> (2201)
<SHARES-REINVESTED> 122
<NET-CHANGE-IN-ASSETS> (275)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (6543)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 364
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 799
<AVERAGE-NET-ASSETS> 94772
<PER-SHARE-NAV-BEGIN> 14.76
<PER-SHARE-NII> .420
<PER-SHARE-GAIN-APPREC> .070
<PER-SHARE-DIVIDEND> (.420)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 14.83
<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> 6-MOS
<FISCAL-YEAR-END> DEC-31-1998
<PERIOD-END> JUN-30-1998
<INVESTMENTS-AT-COST> 149084
<INVESTMENTS-AT-VALUE> 152314
<RECEIVABLES> 8878
<ASSETS-OTHER> 2822
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 164014
<PAYABLE-FOR-SECURITIES> 30062
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 272
<TOTAL-LIABILITIES> 30334
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 135860
<SHARES-COMMON-STOCK> 2547
<SHARES-COMMON-PRIOR> 2624
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (5411)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 3231
<NET-ASSETS> 37800
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 4444
<OTHER-INCOME> 0
<EXPENSES-NET> 799
<NET-INVESTMENT-INCOME> 3645
<REALIZED-GAINS-CURRENT> 1132
<APPREC-INCREASE-CURRENT> (546)
<NET-CHANGE-FROM-OPS> 4231
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (984)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 222
<NUMBER-OF-SHARES-REDEEMED> (346)
<SHARES-REINVESTED> 47
<NET-CHANGE-IN-ASSETS> (275)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (6543)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 364
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 799
<AVERAGE-NET-ASSETS> 38419
<PER-SHARE-NAV-BEGIN> 14.78
<PER-SHARE-NII> .380
<PER-SHARE-GAIN-APPREC> .060
<PER-SHARE-DIVIDEND> (.380)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 14.84
<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> 6-MOS
<FISCAL-YEAR-END> DEC-31-1998
<PERIOD-END> JUN-30-1998
<INVESTMENTS-AT-COST> 149084
<INVESTMENTS-AT-VALUE> 152314
<RECEIVABLES> 8878
<ASSETS-OTHER> 2822
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 164014
<PAYABLE-FOR-SECURITIES> 30062
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 272
<TOTAL-LIABILITIES> 30334
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 135860
<SHARES-COMMON-STOCK> 42
<SHARES-COMMON-PRIOR> 8
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (5411)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 3231
<NET-ASSETS> 620
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 4444
<OTHER-INCOME> 0
<EXPENSES-NET> 799
<NET-INVESTMENT-INCOME> 3645
<REALIZED-GAINS-CURRENT> 1132
<APPREC-INCREASE-CURRENT> (546)
<NET-CHANGE-FROM-OPS> 4231
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (7)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 35
<NUMBER-OF-SHARES-REDEEMED> (1)
<SHARES-REINVESTED> 0
<NET-CHANGE-IN-ASSETS> (275)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (6543)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 364
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 799
<AVERAGE-NET-ASSETS> 328
<PER-SHARE-NAV-BEGIN> 14.77
<PER-SHARE-NII> .350
<PER-SHARE-GAIN-APPREC> .070
<PER-SHARE-DIVIDEND> (.350)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 14.84
<EXPENSE-RATIO> .018
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>