<PAGE> PAGE 1
000 A000000 05/31/98
000 C000000 0000889508
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0.a
000 J000000 A
001 A000000 ALLIANCE PREMIER GROWTH FUND, INC.
001 B000000 811-06730
001 C000000 2013194104
002 A000000 500 PLAZA DRIVE
002 B000000 SECAUCUS
002 C000000 NJ
002 D010000 07094
003 000000 N
004 000000 N
005 000000 N
006 000000 N
007 A000000 N
007 B000000 0
007 C010100 1
007 C010200 2
007 C010300 3
007 C010400 4
007 C010500 5
007 C010600 6
007 C010700 7
007 C010800 8
007 C010900 9
007 C011000 10
008 A000001 ALLIANCE CAPITAL MANAGEMENT L.P.
008 B000001 A
008 C000001 801-32361
008 D010001 NEW YORK
008 D020001 NY
008 D030001 10105
011 A000001 ALLIANCE FUND DISTRIBUTORS, INC.
011 B000001 8-30851
011 C010001 NEW YORK
011 C020001 NY
011 C030001 10105
012 A000001 ALLIANCE FUND SERVICES, INC.
012 B000001 84-001187
012 C010001 SECAUCUS
012 C020001 NJ
012 C030001 07096
013 A000001 PRICEWATERHOUSECOOPERS LLP
013 B010001 NEW YORK
013 B020001 NY
<PAGE> PAGE 2
013 B030001 10036
013 B040001 2798
014 A000001 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
014 B000001 8-00017574
015 A000001 STATE STREET BANK AND TRUST CO.
015 B000001 C
015 C010001 BOSTON
015 C020001 MA
015 C030001 02110
015 E010001 X
018 000000 Y
019 A000000 Y
019 B000000 54
019 C000000 ALLIANCECA
020 A000001 PAINE WEBBER, INC.
020 B000001 13-2638166
020 C000001 198
020 A000002 C.J. LAWRENCE
020 C000002 181
020 A000003 SCHRODER WERTHEIM & CO., INC.
020 B000003 13-2697272
020 C000003 137
020 A000004 SMITH BARNEY, INC.
020 B000004 13-1912900
020 C000004 127
020 A000005 MORGAN, J.P. SECURITIES
020 B000005 13-3224016
020 C000005 105
020 A000006 GOLDMAN SACHS & CO.
020 B000006 13-5108880
020 C000006 103
020 A000007 MONTGOMERY SECURITIES
020 B000007 94-1701676
020 C000007 102
020 A000008 MORGAN STANLEY & CO., INC.
020 B000008 13-2655998
020 C000008 92
020 A000009 MERRILL LYNCH, PIERCE FENNER & SMITH
020 B000009 13-5674085
020 C000009 86
020 A000010 LEHMAN BROTHERS, INC.
020 B000010 13-2518466
020 C000010 75
021 000000 1782
022 A000001 GENERAL ELECTRIC CREDIT CORP.
022 B000001 13-5409205
022 C000001 7485447
022 D000001 0
022 A000002 PRUDENTIAL SECURITIES INC.
022 B000002 22-2347336
022 C000002 1940092
<PAGE> PAGE 3
022 D000002 0
022 A000003 FORD MOTOR CREDIT CORP.
022 B000003 38-1012444
022 C000003 1285119
022 D000003 0
022 A000004 LEHMAN BROTHERS, INC.
022 B000004 13-2518466
022 C000004 61766
022 D000004 25300
022 A000005 MERRILL LYNCH, PIERCE, FENNER & SMITH, INC.
022 B000005 13-5674085
022 C000005 30065
022 D000005 42682
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022 B000006 04-1867445
022 C000006 61990
022 D000006 0
022 A000007 MORGAN STANLEY AND CO., INC.
022 B000007 13-2655998
022 C000007 45182
022 D000007 13763
022 A000008 BEAR, STEARNS & CO., INC
022 B000008 13-3299429
022 C000008 11532
022 D000008 41234
022 A000009 GOLDMAN SACHS AND CO.
022 B000009 13-5108880
022 C000009 41343
022 D000009 4104
022 A000010 SMITH BARNEY, INC.
022 B000010 13-1912900
022 C000010 40705
022 D000010 1651
023 C000000 11056211
023 D000000 152078
024 000000 Y
025 A000001 MERRILL LYNCH, PIERCE, FENNER & SMITH
025 B000001 13-5674085
025 C000001 E
025 D000001 46665
025 A000002 MORGAN STANLEY AND CO., INC.
025 B000002 13-2655998
025 C000002 E
025 D000002 75177
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025 D000004 0
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<PAGE> PAGE 4
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<PAGE> PAGE 5
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<PAGE> PAGE 6
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<PAGE> PAGE 7
070 B010000 Y
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<PAGE> PAGE 8
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<PAGE> PAGE 9
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080 A000000 ICI MUTUAL INSURANCE COMPANY
080 B000000 GULF INSURANCE COMPANY
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<PAGE> PAGE 10
SIGNATURE CATHY WHITE
TITLE VICE PRESIDENT
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000889508
<NAME> ALLIANCE PREMIER GROWTH FUND, INC.
<SERIES>
<NUMBER> 001
<NAME> ALLIANCE PREMIER GROWTH FUND, INC.
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1998
<PERIOD-START> DEC-01-1997
<PERIOD-END> MAY-31-1998
<INVESTMENTS-AT-COST> 2,559,231,822
<INVESTMENTS-AT-VALUE> 3,051,738,207
<RECEIVABLES> 45,565,474
<ASSETS-OTHER> 70,738
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 3,097,374,419
<PAYABLE-FOR-SECURITIES> 36,134,684
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 6,635,052
<TOTAL-LIABILITIES> 42,769,736
<SENIOR-EQUITY> 124,363
<PAID-IN-CAPITAL-COMMON> 2,389,583,689
<SHARES-COMMON-STOCK> 31,595,598
<SHARES-COMMON-PRIOR> 16,956,377
<ACCUMULATED-NII-CURRENT> (9,389,284)
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 181,779,530
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 492,506,385
<NET-ASSETS> 3,054,604,683
<DIVIDEND-INCOME> 9,442,103
<INTEREST-INCOME> 2,385,880
<OTHER-INCOME> 0
<EXPENSES-NET> (21,217,267)
<NET-INVESTMENT-INCOME> (9,389,284)
<REALIZED-GAINS-CURRENT> 188,199,868
<APPREC-INCREASE-CURRENT> 218,073,753
<NET-CHANGE-FROM-OPS> 396,884,337
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 0
<DISTRIBUTIONS-OF-GAINS> (25,033,845)
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<NUMBER-OF-SHARES-SOLD> 21,884,640
<NUMBER-OF-SHARES-REDEEMED> (8,342,816)
<SHARES-REINVESTED> 1,097,397
<NET-CHANGE-IN-ASSETS> 1,591,674,908
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 93,307,851
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<GROSS-ADVISORY-FEES> 10,806,000
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 21,345,000
<AVERAGE-NET-ASSETS> 592,157,553
<PER-SHARE-NAV-BEGIN> 22.00
<PER-SHARE-NII> (0.05)
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<PER-SHARE-NAV-END> 25.22
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000889508
<NAME> ALLIANCE PREMIER GROWTH FUND, INC.
<SERIES>
<NUMBER> 002
<NAME> ALLIANCE PREMIER GROWTH FUND, INC.
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1998
<PERIOD-START> DEC-01-1997
<PERIOD-END> MAY-31-1998
<INVESTMENTS-AT-COST> 2,559,231,822
<INVESTMENTS-AT-VALUE> 3,051,738,207
<RECEIVABLES> 45,565,474
<ASSETS-OTHER> 70,738
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 3,097,374,419
<PAYABLE-FOR-SECURITIES> 36,134,684
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 6,635,052
<TOTAL-LIABILITIES> 42,769,736
<SENIOR-EQUITY> 124,363
<PAID-IN-CAPITAL-COMMON> 2,389,583,689
<SHARES-COMMON-STOCK> 67,423,754
<SHARES-COMMON-PRIOR> 40,376,157
<ACCUMULATED-NII-CURRENT> (9,389,284)
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<OVERDISTRIBUTION-GAINS> 0
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<DIVIDEND-INCOME> 9,442,103
<INTEREST-INCOME> 2,385,880
<OTHER-INCOME> 0
<EXPENSES-NET> (21,217,267)
<NET-INVESTMENT-INCOME> (9,389,284)
<REALIZED-GAINS-CURRENT> 188,199,868
<APPREC-INCREASE-CURRENT> 218,073,753
<NET-CHANGE-FROM-OPS> 396,884,337
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 0
<DISTRIBUTIONS-OF-GAINS> (58,997,383)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 28,447,584
<NUMBER-OF-SHARES-REDEEMED> (4,239,197)
<SHARES-REINVESTED> 2,839,210
<NET-CHANGE-IN-ASSETS> 1,591,674,908
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 93,307,851
<OVERDISTRIB-NII-PRIOR> 0
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<GROSS-ADVISORY-FEES> 10,806,000
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 21,345,000
<AVERAGE-NET-ASSETS> 1,206,260,780
<PER-SHARE-NAV-BEGIN> 21.26
<PER-SHARE-NII> (0.12)
<PER-SHARE-GAIN-APPREC> 4.53
<PER-SHARE-DIVIDEND> 0.00
<PER-SHARE-DISTRIBUTIONS> (1.44)
<RETURNS-OF-CAPITAL> 0.00
<PER-SHARE-NAV-END> 24.23
<EXPENSE-RATIO> 2.19
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
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<CIK> 0000889508
<NAME> ALLIANCE PREMIER GROWTH FUND, INC.
<SERIES>
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<NAME> ALLIANCE PREMIER GROWTH FUND, INC.
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1998
<PERIOD-START> DEC-01-1997
<PERIOD-END> MAY-31-1998
<INVESTMENTS-AT-COST> 2,559,231,822
<INVESTMENTS-AT-VALUE> 3,051,738,207
<RECEIVABLES> 45,565,474
<ASSETS-OTHER> 70,738
<OTHER-ITEMS-ASSETS> 0
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<TOTAL-LIABILITIES> 42,769,736
<SENIOR-EQUITY> 124,363
<PAID-IN-CAPITAL-COMMON> 2,389,583,689
<SHARES-COMMON-STOCK> 17,389,214
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<EXPENSES-NET> (21,217,267)
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<REALIZED-GAINS-CURRENT> 188,199,868
<APPREC-INCREASE-CURRENT> 218,073,753
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<DISTRIBUTIONS-OF-GAINS> (12,185,855)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 12,398,232
<NUMBER-OF-SHARES-REDEEMED> (3,938,811)
<SHARES-REINVESTED> 572,653
<NET-CHANGE-IN-ASSETS> 1,591,674,908
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 93,307,851
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 10,806,000
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 21,345,000
<AVERAGE-NET-ASSETS> 279,271,013
<PER-SHARE-NAV-BEGIN> 21.29
<PER-SHARE-NII> (0.12)
<PER-SHARE-GAIN-APPREC> 4.54
<PER-SHARE-DIVIDEND> 0.00
<PER-SHARE-DISTRIBUTIONS> (1.44)
<RETURNS-OF-CAPITAL> 0.00
<PER-SHARE-NAV-END> 24.27
<EXPENSE-RATIO> 2.18
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000889508
<NAME> ALLIANCE PREMIER GROWTH FUND, INC.
<SERIES>
<NUMBER> 004
<NAME> ALLIANCE PREMIER GROWTH FUND, INC.
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1998
<PERIOD-START> DEC-01-1997
<PERIOD-END> MAY-31-1998
<INVESTMENTS-AT-COST> 2,559,231,822
<INVESTMENTS-AT-VALUE> 3,051,738,207
<RECEIVABLES> 45,565,474
<ASSETS-OTHER> 70,738
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 3,097,374,419
<PAYABLE-FOR-SECURITIES> 36,134,684
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 6,635,052
<TOTAL-LIABILITIES> 42,769,736
<SENIOR-EQUITY> 124,363
<PAID-IN-CAPITAL-COMMON> 2,389,583,689
<SHARES-COMMON-STOCK> 7,953,920
<SHARES-COMMON-PRIOR> 2,419,222
<ACCUMULATED-NII-CURRENT> (9,389,284)
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 181,779,530
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 492,506,385
<NET-ASSETS> 3,054,604,683
<DIVIDEND-INCOME> 9,442,103
<INTEREST-INCOME> 2,385,880
<OTHER-INCOME> 0
<EXPENSES-NET> (21,217,267)
<NET-INVESTMENT-INCOME> (9,389,284)
<REALIZED-GAINS-CURRENT> 188,199,868
<APPREC-INCREASE-CURRENT> 218,073,753
<NET-CHANGE-FROM-OPS> 396,884,337
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 0
<DISTRIBUTIONS-OF-GAINS> (3,511,106)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 7,120,481
<NUMBER-OF-SHARES-REDEEMED> (1,750,409)
<SHARES-REINVESTED> 164,626
<NET-CHANGE-IN-ASSETS> 1,591,674,908
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 93,307,851
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 10,806,000
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 21,345,000
<AVERAGE-NET-ASSETS> 89,570,255
<PER-SHARE-NAV-BEGIN> 22.10
<PER-SHARE-NII> (0.02)
<PER-SHARE-GAIN-APPREC> 4.74
<PER-SHARE-DIVIDEND> 0.00
<PER-SHARE-DISTRIBUTIONS> (1.44)
<RETURNS-OF-CAPITAL> 0.00
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<EXPENSE-RATIO> 1.18
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
[DESCRIPTION]Report of 10f-3 Transactions
Securities Purchases in Underwritings Involving
Transactions with Donaldson, Lufkin, & Jenrette Securities Corporation
Subject to Rule 10f-3 Under the Investment Company Act of 1940
ALLIANCE PREMIER GROWTH FUND
<TABLE>
10f-3 TRANSACTIONS FOR THE PERIOD MARCH 1, 1998 THROUGH MAY 31, 1998
<CAPTION>
Total
Date Shares Price perPurchased bOffered Purchased Held
Security PurchasedPurchasedShare Fund Group (000) By Group Broker(s) 05/31/98
<C> <C> <C> <C> <C> <C> <C> <C> <C>
Fifth Third Bancorp 05/06/98 289,700 $50.81 353,100 3,600 9.81% Smith Barney 289,700
</TABLE>
* Unless otherwise indicated, the securities were part of an issue registered
under the Securities Act of 1933 and offered to the public.
**Indicates the puchase of an Eligible Rule 144A Security.
1) Purchases by all Alliance Funds, including the Fund, may not exceed: (a) if
purchased in an offering other than an Eligible Rule 144A Offering, 25% of the
principal amount of the offering of such class; or (b) if purchased in an
Eligible Rule 144A Offering, 25% of the total of (i) the principal amount
of the offering of such class sold by underwriters or members of the
selling syndicate to qualified institutional buyers, plus (ii) the principal
amount of the offering of such class in any concurrent public offering.