<PAGE> PAGE 1
000 B000000 11/30/94
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 2129226801
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
011 A000001 PREMIER MUTUAL FUND SERVICES, INC.
011 B000001 8-47312
011 C010001 NEW YORK
011 C020001 NY
011 C030001 10166
013 A000001 ERNST & YOUNG LLP
013 B010001 NEW YORK
013 B020001 NY
013 B030001 10019
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 CHEMICAL BANK
015 B000002 S
015 C010002 NEW YORK
015 C020002 NY
015 C030002 10172
015 E010002 X
018 000000 Y
019 A000000 Y
019 B000000 121
019 C000000 DREYFUSFAM
022 A000001 GOLDMAN, SACHS & CO.
022 B000001 13-5108880
022 C000001 106000
022 D000001 58200
<PAGE> PAGE 2
022 A000002 PRUDENTIAL SECURITIES INCORPORATED
022 B000002 22-2347336
022 C000002 92224
022 D000002 71400
022 A000003 CHEMICAL SECURITIES, INC.
022 B000003 13-3379014
022 C000003 103566
022 D000003 52277
022 A000004 SMITH BARNEY INC.
022 B000004 13-1912900
022 C000004 61271
022 D000004 43304
022 A000005 PAINEWEBBER INCORPORATED
022 B000005 13-2638166
022 C000005 63300
022 D000005 29680
022 A000006 CITIBANK, N.A.
022 B000006 13-5266470
022 C000006 32000
022 D000006 60098
022 A000007 J.P. MORGAN SECURITIES INC.
022 B000007 13-3224016
022 C000007 50485
022 D000007 34900
022 A000008 MERRILL, LYNCH, PIERCE, FENNER & SMITH INC.
022 B000008 13-5674085
022 C000008 57814
022 D000008 23000
022 A000009 THE FIRST BOSTON CORPORATION
022 B000009 13-5659485
022 C000009 65377
022 D000009 13900
022 A000010 DILLON, READ & CO. INC.
022 B000010 13-1939216
022 C000010 39050
022 D000010 21500
023 C000000 777949
023 D000000 477042
028 A010000 107436
028 A020000 1167
028 A030000 0
028 A040000 104267
028 B010000 88292
028 B020000 1196
028 B030000 0
028 B040000 85708
028 C010000 110263
028 C020000 1431
028 C030000 0
028 C040000 112589
028 D010000 78413
<PAGE> PAGE 3
028 D020000 1483
028 D030000 0
028 D040000 84338
028 E010000 100101
028 E020000 1465
028 E030000 0
028 E040000 96184
028 F010000 106962
028 F020000 1575
028 F030000 0
028 F040000 101341
028 G010000 591467
028 G020000 8317
028 G030000 0
028 G040000 584427
028 H000000 0
042 A000000 0
042 B000000 100
042 C000000 0
042 D000000 0
042 E000000 0
042 F000000 0
042 G000000 0
042 H000000 0
043 000000 9
044 000000 127
062 A000000 Y
062 B000000 0.0
062 C000000 0.0
062 D000000 0.0
062 E000000 99.5
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 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
066 A000000 N
067 000000 N
068 A000000 N
068 B000000 N
069 000000 N
<PAGE> PAGE 4
070 A010000 Y
070 A020000 N
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 N
070 P010000 Y
070 P020000 N
070 Q010000 N
070 Q020000 N
070 R010000 N
070 R020000 N
071 A000000 0
071 B000000 0
071 C000000 0
071 D000000 0
072 A000000 12
072 B000000 17651
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 3304
072 G000000 0
072 H000000 0
072 I000000 901
072 J000000 61
072 K000000 0
<PAGE> PAGE 5
072 L000000 20
072 M000000 19
072 N000000 17
072 O000000 1
072 P000000 0
072 Q000000 0
072 R000000 45
072 S000000 16
072 T000000 9
072 U000000 0
072 V000000 0
072 W000000 24
072 X000000 4417
072 Y000000 2147
072 Z000000 15381
072AA000000 0
072BB000000 40
072CC010000 0
072CC020000 0
072DD010000 15381
072DD020000 0
072EE000000 0
073 A010000 0.0232
073 A020000 0.0000
073 B000000 0.0000
073 C000000 0.0000
074 A000000 0
074 B000000 0
074 C000000 686449
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 4772
074 M000000 68
074 N000000 691289
074 O000000 0
074 P000000 157
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 1214
074 S000000 0
074 T000000 689918
074 U010000 689967
074 U020000 0
<PAGE> PAGE 6
074 V010000 1.00
074 V020000 0.00
074 W000000 0.9993
074 X000000 11571
074 Y000000 0
075 A000000 660797
075 B000000 0
076 000000 0.00
077 A000000 Y
077 B000000 Y
077 C000000 Y
077 Q010000 Y
078 000000 N
080 A000000 NAT'L UNION FIRE INS. CO. OF PITTSBURGH PA
080 B000000 VIGILANT INSURANCE COMPANY
080 C000000 105000
081 A000000 Y
081 B000000 146
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 ERIC B. FISCHMAN
TITLE VICE PRESIDENT
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000803950
<NAME> GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> NOV-30-1994
<PERIOD-END> NOV-30-1994
<INVESTMENTS-AT-COST> 686449
<INVESTMENTS-AT-VALUE> 686449
<RECEIVABLES> 4772
<ASSETS-OTHER> 68
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 691289
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 1371
<TOTAL-LIABILITIES> 1371
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 689967
<SHARES-COMMON-STOCK> 689967
<SHARES-COMMON-PRIOR> 612450
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (49)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 689918
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 17651
<OTHER-INCOME> 0
<EXPENSES-NET> 2270
<NET-INVESTMENT-INCOME> 15381
<REALIZED-GAINS-CURRENT> (40)
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 15341
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 15381
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 1264417
<NUMBER-OF-SHARES-REDEEMED> 1201510
<SHARES-REINVESTED> 14609
<NET-CHANGE-IN-ASSETS> 77477
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (9)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 3304
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 4417
<AVERAGE-NET-ASSETS> 660797
<PER-SHARE-NAV-BEGIN> 1.000
<PER-SHARE-NII> .023
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> .023
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.000
<EXPENSE-RATIO> .003
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
