<PAGE> PAGE 1
000 A000000 05/31/98
000 C000000 0000353560
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 U
001 A000000 GENERAL MONEY MARKET FUND, INC.
001 B000000 811-3207
001 C000000 2129226805
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
015 A000001 THE BANK OF NEW YORK
015 B000001 C
015 C010001 NEW YORK
015 C020001 NY
015 C030001 10286
015 E010001 X
015 E010002 X
018 000000 Y
019 A000000 Y
019 B000000 159
019 C000000 DREYFUSFAM
020 C000001 0
020 C000002 0
020 C000003 0
020 C000004 0
020 C000005 0
020 C000006 0
020 C000007 0
020 C000008 0
020 C000009 0
020 C000010 0
021 000000 0
022 A000001 UBS AG
022 B000001 13-2932996
022 C000001 5924749
022 D000001 0
022 A000002 BHF-BANK AKTIENGESELLSCHAFT
022 B000002 52-1058549
022 C000002 3704927
<PAGE> PAGE 2
022 D000002 0
022 A000003 WESTDEUTSCHE LANDESBANK
022 B000003 13-2677075
022 C000003 2071745
022 D000003 0
022 A000004 FLEET BANK MASSACHUSETTS
022 B000004 04-2274939
022 C000004 1450216
022 D000004 0
022 A000005 ASSOCIATES CORPORATION OF NORTH AMERICA
022 B000005 06-0943899
022 C000005 1114738
022 D000005 0
022 A000006 PRUDENTIAL SECURITIES INCORPORATED
022 B000006 22-2347336
022 C000006 657845
022 D000006 0
022 A000007 AUBREY G. LANSTON & CO. INC.
022 B000007 13-5552129
022 C000007 424000
022 D000007 0
022 A000008 CHASE SECURITIES, INC.
022 B000008 13-3112953
022 C000008 369463
022 D000008 0
022 A000009 BARCLAYS DE ZOETE WEDD SECURITIES, INC.
022 B000009 13-3551367
022 C000009 336808
022 D000009 0
022 A000010 REPUBLIC NATIONAL BANK OF NEW YORK
022 B000010 13-2774727
022 C000010 330995
022 D000010 0
023 C000000 18427125
023 D000000 74974
024 000000 Y
025 A000001 BHF-BANK AKTIENGESELLSCHAFT
025 B000001 52-1058549
025 C000001 D
025 D000001 105766
025 A000002 ASSOCIATES CORPORATION OF NORTH AMERICA
025 B000002 06-0943899
025 C000002 D
025 D000002 35000
025 A000003 DELETE
025 D000003 0
025 D000004 0
025 D000005 0
025 D000006 0
025 D000007 0
025 D000008 0
<PAGE> PAGE 3
028 A010000 986821
028 A020000 8699
028 A030000 0
028 A040000 1033831
028 B010000 935192
028 B020000 8720
028 B030000 0
028 B040000 862353
028 C010000 752477
028 C020000 7911
028 C030000 0
028 C040000 754902
028 D010000 1017254
028 D020000 8937
028 D030000 0
028 D040000 908473
028 E010000 1024385
028 E020000 9019
028 E030000 0
028 E040000 979973
028 F010000 1016385
028 F020000 9860
028 F030000 0
028 F040000 883685
028 G010000 5732514
028 G020000 53146
028 G030000 0
028 G040000 5423217
028 H000000 0
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 2252
044 000000 4321
055 A000000 Y
055 B000000 N
056 000000 N
057 000000 N
062 A000000 Y
062 B000000 0.0
062 C000000 2.4
062 D000000 0.0
062 E000000 0.0
062 F000000 2.0
062 G000000 28.4
062 H000000 0.0
<PAGE> PAGE 4
062 I000000 31.5
062 J000000 0.2
062 K000000 0.0
062 L000000 34.9
062 M000000 0.0
062 N000000 0.0
062 O000000 0.0
062 P000000 0.0
062 Q000000 0.0
062 R000000 0.0
063 A000000 83
063 B000000 0.0
064 A000000 Y
064 B000000 N
071 A000000 0
071 B000000 0
071 C000000 0
071 D000000 0
072 A000000 6
072 B000000 64671
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 5613
072 G000000 0
072 H000000 0
072 I000000 2058
072 J000000 77
072 K000000 0
072 L000000 35
072 M000000 20
072 N000000 341
072 O000000 1
072 P000000 0
072 Q000000 0
072 R000000 20
072 S000000 13
072 T000000 2245
072 U000000 0
072 V000000 0
072 W000000 16
072 X000000 10439
072 Y000000 125
072 Z000000 54357
072AA000000 0
072BB000000 23
072CC010000 0
072CC020000 0
072DD010000 21634
072DD020000 32723
072EE000000 0
<PAGE> PAGE 5
073 A010000 0.0247
073 A020000 0.0238
073 B000000 0.0000
073 C000000 0.0000
074 A000000 10686
074 B000000 0
074 C000000 2481872
074 D000000 0
074 E000000 0
074 F000000 0
074 G000000 0
074 H000000 0
074 I000000 0
074 J000000 0
074 K000000 0
074 L000000 24745
074 M000000 168
074 N000000 2517471
074 O000000 19178
074 P000000 1075
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 353
074 S000000 0
074 T000000 2496865
074 U010000 889097
074 U020000 1607896
074 V010000 1.00
074 V020000 1.00
074 W000000 0.9997
074 X000000 12711
074 Y000000 0
075 A000000 875334
075 B000000 0
076 000000 0.00
077 A000000 N
SIGNATURE MICHAEL S. PETRUCELLI
TITLE ASSISTANT TREASURER
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000353560
<NAME> GENERAL MONEY MARKET FUND, INC.
<SERIES>
<NUMBER> 001
<NAME> CLASS A
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1998
<PERIOD-END> MAY-31-1998
<INVESTMENTS-AT-COST> 2481872
<INVESTMENTS-AT-VALUE> 2481872
<RECEIVABLES> 24745
<ASSETS-OTHER> 10854
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 2517471
<PAYABLE-FOR-SECURITIES> 19178
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 1428
<TOTAL-LIABILITIES> 20606
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 2496993
<SHARES-COMMON-STOCK> 889097
<SHARES-COMMON-PRIOR> 903371
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (128)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 889030
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 64671
<OTHER-INCOME> 0
<EXPENSES-NET> 10314
<NET-INVESTMENT-INCOME> 54357
<REALIZED-GAINS-CURRENT> (23)
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 54334
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (21634)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 2924761
<NUMBER-OF-SHARES-REDEEMED> (2960359)
<SHARES-REINVESTED> 21325
<NET-CHANGE-IN-ASSETS> 362420
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (105)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 5613
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 10439
<AVERAGE-NET-ASSETS> 875334
<PER-SHARE-NAV-BEGIN> 1.00
<PER-SHARE-NII> .025
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.025)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.00
<EXPENSE-RATIO> .008
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000353560
<NAME> GENERAL MONEY MARKET FUND, INC.
<SERIES>
<NUMBER> 002
<NAME> CLASS B
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1998
<PERIOD-END> MAY-31-1998
<INVESTMENTS-AT-COST> 2481872
<INVESTMENTS-AT-VALUE> 2481872
<RECEIVABLES> 24745
<ASSETS-OTHER> 10854
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 2517471
<PAYABLE-FOR-SECURITIES> 19178
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 1428
<TOTAL-LIABILITIES> 20606
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 2496993
<SHARES-COMMON-STOCK> 1607896
<SHARES-COMMON-PRIOR> 1231179
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (128)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 1607835
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 64671
<OTHER-INCOME> 0
<EXPENSES-NET> 10314
<NET-INVESTMENT-INCOME> 54357
<REALIZED-GAINS-CURRENT> (23)
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 54334
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (32723)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 2807753
<NUMBER-OF-SHARES-REDEEMED> (2462858)
<SHARES-REINVESTED> 31821
<NET-CHANGE-IN-ASSETS> 362420
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (105)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 5613
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 10439
<AVERAGE-NET-ASSETS> 1375955
<PER-SHARE-NAV-BEGIN> 1.00
<PER-SHARE-NII> .024
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.024)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.00
<EXPENSE-RATIO> .010
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
