<PAGE> PAGE 1
000 B000000 11/30/96
000 C000000 803950
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 NEW YORK MUNICIPAL MONEY MARKET FUND
001 B000000 811-4870
001 C000000 2129226785
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 A000002 CHASE SECURITIES
015 B000002 S
015 C010002 NEW YORK
015 C020002 NY
015 C030002 10172
015 E010002 X
015 A000003 BANKERS TRUST COMPANY
015 B000003 S
015 C010003 NEW YORK
015 C020003 NY
015 C030003 10015
015 E010003 X
018 000000 Y
019 A000000 Y
019 B000000 154
019 C000000 DREYFUSFAM
020 C000001 0
020 C000002 0
020 C000003 0
020 C000004 0
020 C000005 0
020 C000006 0
020 C000007 0
<PAGE> PAGE 2
020 C000008 0
020 C000009 0
020 C000010 0
021 000000 0
022 A000001 LEHMAN BROTHERS INC.
022 B000001 13-2518466
022 C000001 403478
022 D000001 143800
022 A000002 SMITH BARNEY INC.
022 B000002 13-1912900
022 C000002 143791
022 D000002 91405
022 A000003 GOLDMAN, SACHS & CO.
022 B000003 13-5108880
022 C000003 121172
022 D000003 73100
022 A000004 PRUDENTIAL SECURITIES INCORPORATED
022 B000004 22-2347336
022 C000004 63200
022 D000004 56600
022 A000005 MORGAN STANLEY & CO. INCORPORATED
022 B000005 13-2655998
022 C000005 52600
022 D000005 51700
022 A000006 J.P. MORGAN SECURITIES INC.
022 B000006 13-3224016
022 C000006 101684
022 D000006 0
022 A000007 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000007 13-5674085
022 C000007 46100
022 D000007 52000
022 A000008 PAINEWEBBER INCORPORATED
022 B000008 13-2638166
022 C000008 72479
022 D000008 14500
022 A000009 CITICORP SECURITIES INC.
022 B000009 13-2771536
022 C000009 33400
022 D000009 29400
022 A000010 CHASE SECURITIES, INC.
022 B000010 13-3112953
022 C000010 43096
022 D000010 10800
023 C000000 1190932
023 D000000 536205
026 A000000 Y
026 B000000 Y
026 C000000 N
026 D000000 Y
026 E000000 N
<PAGE> PAGE 3
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 Y
028 A010000 79668
028 A020000 1211
028 A030000 0
028 A040000 100767
028 B010000 122524
028 B020000 1115
028 B030000 0
028 B040000 126443
028 C010000 128936
028 C020000 1301
028 C030000 0
028 C040000 113240
028 D010000 80473
028 D020000 1231
028 D030000 0
028 D040000 113970
028 E010000 96413
028 E020000 1210
028 E030000 0
028 E040000 107098
028 F010000 118358
028 F020000 1207
028 F030000 0
028 F040000 116008
028 G010000 626372
028 G020000 7275
028 G030000 0
028 G040000 677526
028 H000000 0
042 A000000 53
042 B000000 8
042 C000000 39
042 D000000 0
042 E000000 0
042 F000000 0
042 G000000 0
042 H000000 0
043 000000 51
044 000000 0
062 A000000 Y
062 B000000 0.0
062 C000000 0.0
062 D000000 0.0
062 E000000 96.7
062 F000000 0.0
062 G000000 0.0
062 H000000 0.0
<PAGE> PAGE 4
062 I000000 0.0
062 J000000 0.0
062 K000000 0.0
062 L000000 0.0
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 64
063 B000000 0.0
064 A000000 Y
064 B000000 N
066 A000000 N
067 000000 N
068 A000000 N
068 B000000 N
069 000000 N
071 A000000 0
071 B000000 0
071 C000000 0
071 D000000 0
072 A000000 12
072 B000000 20553
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 2945
072 G000000 0
072 H000000 0
072 I000000 954
072 J000000 56
072 K000000 0
072 L000000 20
072 M000000 26
072 N000000 27
072 O000000 1
072 P000000 0
072 Q000000 0
072 R000000 34
072 S000000 19
072 T000000 51
072 U000000 0
072 V000000 0
072 W000000 17
072 X000000 4150
072 Y000000 40
072 Z000000 16443
072AA000000 1
072BB000000 0
<PAGE> PAGE 5
072CC010000 0
072CC020000 0
072DD010000 15818
072DD020000 625
072EE000000 0
073 A010000 0.0280
073 A020000 0.0252
073 B000000 0.0000
073 C000000 0.0000
074 A000000 4505
074 B000000 0
074 C000000 525645
074 D000000 0
074 E000000 0
074 F000000 0
074 G000000 0
074 H000000 0
074 I000000 0
074 J000000 10001
074 K000000 0
074 L000000 3973
074 M000000 11
074 N000000 544135
074 O000000 0
074 P000000 214
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 185
074 S000000 0
074 T000000 543736
074 U010000 507603
074 U020000 36199
074 V010000 1.00
074 V020000 1.00
074 W000000 1.0002
074 X000000 9372
074 Y000000 0
075 A000000 563738
075 B000000 0
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 INSURANCE COMPANY
080 C000000 125000
081 A000000 Y
081 B000000 170
<PAGE> PAGE 6
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 RICHARD W. INGRAM
TITLE ASSISTANT TREASURER
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000803950
<NAME> GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND
<SERIES>
<NUMBER> 001
<NAME> CLASS A
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> NOV-30-1996
<PERIOD-END> NOV-30-1996
<INVESTMENTS-AT-COST> 525644
<INVESTMENTS-AT-VALUE> 525645
<RECEIVABLES> 13974
<ASSETS-OTHER> 4516
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 544135
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 399
<TOTAL-LIABILITIES> 399
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 543802
<SHARES-COMMON-STOCK> 507603
<SHARES-COMMON-PRIOR> 636013
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (67)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 1
<NET-ASSETS> 507537
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 20553
<OTHER-INCOME> 0
<EXPENSES-NET> 4110
<NET-INVESTMENT-INCOME> 16443
<REALIZED-GAINS-CURRENT> 1
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 16444
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 15818
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 1178020
<NUMBER-OF-SHARES-REDEEMED> 1321505
<SHARES-REINVESTED> 15008
<NET-CHANGE-IN-ASSETS> (92277)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (67)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 2945
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 4150
<AVERAGE-NET-ASSETS> 563738
<PER-SHARE-NAV-BEGIN> 1.00
<PER-SHARE-NII> .028
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.028)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.00
<EXPENSE-RATIO> .007
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000803950
<NAME> GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND
<SERIES>
<NUMBER> 002
<NAME> CLASS B
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> NOV-30-1996
<PERIOD-END> NOV-30-1996
<INVESTMENTS-AT-COST> 525644
<INVESTMENTS-AT-VALUE> 525645
<RECEIVABLES> 13974
<ASSETS-OTHER> 4516
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 544135
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 399
<TOTAL-LIABILITIES> 399
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 543802
<SHARES-COMMON-STOCK> 36199
<SHARES-COMMON-PRIOR> 0
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (67)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 1
<NET-ASSETS> 36199
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 20553
<OTHER-INCOME> 0
<EXPENSES-NET> 4110
<NET-INVESTMENT-INCOME> 16443
<REALIZED-GAINS-CURRENT> 1
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 16444
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 625
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 92366
<NUMBER-OF-SHARES-REDEEMED> 56793
<SHARES-REINVESTED> 625
<NET-CHANGE-IN-ASSETS> (92277)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (67)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 2945
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 4150
<AVERAGE-NET-ASSETS> 25288
<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> .010
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
