<PAGE> PAGE 1
000 A000000 01/31/94
000 C000000 0000803951
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 CALIFORNIA MUNICIPAL MONEY MARKET FND
001 B000000 811-4871
001 C000000 2129226792
002 A000000 144 GLENN CURTISS BOULEVARD
002 B000000 UNIONDALE
002 C000000 NY
002 D010000 11556
002 D020000 0144
003 000000 N
004 000000 N
005 000000 N
006 000000 N
007 A000000 N
007 B000000 0
013 A000001 ERNST & YOUNG
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 DELETE
015 A000003 BANKERS TRUST COMPANY
015 B000003 S
015 C010003 NEW YORK
015 C020003 NY
015 C030003 10015
015 E010003 X
015 A000004 CHEMICAL BANK
015 B000004 S
015 C010004 NEW YORK
015 C020004 NY
015 C030004 10172
015 E010004 X
018 000000 Y
019 A000000 Y
019 B000000 108
019 C000000 DREYFUSFAM
020 C000001 0
<PAGE> PAGE 2
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 GOLDMAN, SACHS & CO.
022 B000001 13-5108880
022 C000001 94152
022 D000001 0
022 A000002 HAMBRO RESOURCE DEVELOPMENT INCORPORATED
022 B000002 13-3609023
022 C000002 41600
022 D000002 42600
022 A000003 BT SECURITIES CORPORATION
022 B000003 13-3131014
022 C000003 18350
022 D000003 24000
022 A000004 PAINEWEBBER INCORPORATED
022 B000004 13-2638166
022 C000004 33725
022 D000004 3700
022 A000005 BANK OF AMERICA NT & SA
022 B000005 94-1687665
022 C000005 30446
022 D000005 0
022 A000006 LEHMAN BROTHERS INC.
022 B000006 13-2518466
022 C000006 20549
022 D000006 0
022 A000007 THE FIRST BOSTON CORPORATION
022 B000007 13-5659485
022 C000007 16200
022 D000007 0
022 A000008 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000008 13-5674085
022 C000008 0
022 D000008 10900
022 A000009 PRUDENTIAL SECURITIES INCORPORATED
022 B000009 22-2347336
022 C000009 8035
022 D000009 0
022 A000010 J.P. MORGAN SECURITIES INC.
022 B000010 13-3224016
022 C000010 0
022 D000010 5000
023 C000000 266457
<PAGE> PAGE 3
023 D000000 89600
028 A010000 149718
028 A020000 1135
028 A030000 0
028 A040000 142574
028 B010000 138643
028 B020000 1094
028 B030000 0
028 B040000 155154
028 C010000 177781
028 C020000 1191
028 C030000 0
028 C040000 136997
028 D010000 193830
028 D020000 1114
028 D030000 0
028 D040000 163445
028 E010000 244581
028 E020000 1198
028 E030000 0
028 E040000 220045
028 F010000 194084
028 F020000 1130
028 F030000 0
028 F040000 181285
028 G010000 1098637
028 G020000 6862
028 G030000 0
028 G040000 999500
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 6
044 000000 400
062 A000000 Y
062 B000000 0.0
062 C000000 0.0
062 D000000 0.0
062 E000000 99.1
062 F000000 0.0
062 G000000 0.0
062 H000000 0.0
062 I000000 0.0
062 J000000 0.0
062 K000000 0.0
<PAGE> PAGE 4
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 50
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 6
072 B000000 8377
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 1663
072 G000000 0
072 H000000 0
072 I000000 280
072 J000000 29
072 K000000 0
072 L000000 11
072 M000000 9
072 N000000 38
072 O000000 0
072 P000000 0
072 Q000000 0
072 R000000 8
072 S000000 12
072 T000000 6
072 U000000 0
072 V000000 0
072 W000000 8
072 X000000 2064
072 Y000000 998
072 Z000000 7311
072AA000000 0
072BB000000 0
072CC010000 0
072CC020000 0
072DD010000 7311
<PAGE> PAGE 5
072DD020000 0
072EE000000 0
073 A010000 0.0111
073 A020000 0.0000
073 B000000 0.0000
073 C000000 0.0000
074 A000000 2218
074 B000000 0
074 C000000 707751
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 4808
074 M000000 58
074 N000000 714835
074 O000000 0
074 P000000 123
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 179
074 S000000 0
074 T000000 714533
074 U010000 714541
074 U020000 0
074 V010000 1.00
074 V020000 0.00
074 W000000 1.0005
074 X000000 8663
074 Y000000 0
075 A000000 659858
075 B000000 0
076 000000 0.00
077 A000000 N
078 000000 N
SIGNATURE JOHN J. PYBURN
TITLE TREASURER