SELIGMAN HIGH INCOME FUND SERIES
NSAR-B, 1998-02-26
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<PAGE>      PAGE  1
000 B000000 12/31/97
000 C000000 752372
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 SELIGMAN HIGH INCOME FUND SERIES
001 B000000 811-4103
001 C000000 2128501864
002 A000000 100 PARK AVENUE
002 B000000 NEW YORK
002 C000000 NY
002 D010000 10017
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  2
007 C010100  1
007 C020100 U.S. GOVERNMENT SECURITIES SERIES
007 C030100 N
007 C010200  2
007 C010300  3
007 C020300 HIGH-YIELD BOND SERIES
007 C030300 N
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A00AA01 J. & W. SELIGMAN & CO. INC.
008 B00AA01 A
008 C00AA01 801-15798
008 D01AA01 NEW YORK
008 D02AA01 NY
008 D03AA01 10017
011 A00AA01 SELIGMAN FINANCIAL SERVICES, INC.
011 B00AA01 8-25845
011 C01AA01 NEW YORK
011 C02AA01 NY
011 C03AA01 10017
012 A00AA01 SELIGMAN DATA CORP.
012 B00AA01 84-1895
012 C01AA01 NEW YORK
012 C02AA01 NY
<PAGE>      PAGE  2
012 C03AA01 10017
013 A00AA01 DELOITTE & TOUCHE LLP
013 B01AA01 NEW YORK
013 B02AA01 NY
013 B03AA01 10281
014 A00AA01 SELIGMAN SERVICES, INC.
014 B00AA01 8-47717
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 C04AA01 1716
015 E01AA01 X
015 A00AA02 CHASE MANHATTAN BANK
015 B00AA02 S
015 C01AA02 NEW YORK
015 C02AA02 NY
015 C03AA02 10036
015 E06AA02 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   50
019 C00AA00 JWSELIGMAN
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 CANADIAN IMPERIAL BK OF COMMERCE-GRAND CAYMAN
022 B000001 13-1942440
022 C000001   1207242
022 D000001     30625
022 A000002 BANK OF MONTREAL-TORONTO
022 B000002 13-4941926
022 C000002   1212225
022 D000002         0
022 A000003 HSBC SECURITIES, INC.
022 B000003 13-2650272
022 C000003   1179291
022 D000003     10057
022 A000004 NATIONAL WESTMINSTER BANK-GRAND CAYMAN
022 B000004 13-5634601
022 C000004   1157385
022 D000004         0
<PAGE>      PAGE  3
022 A000005 UBS-GRAND CAYMAN
022 B000005 13-2795530
022 C000005   1138451
022 D000005      2764
022 A000006 FIRST NATIONAL BANK OF CHICAGO-GRAND CAYMAN
022 B000006 36-0899825
022 C000006   1014835
022 D000006      1985
022 A000007 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
022 B000007 13-2741729
022 C000007    481664
022 D000007    239574
022 A000008 ABN-AMRO BANK-GRAND CAYMAN
022 B000008 13-5268975
022 C000008    526850
022 D000008         0
022 A000009 REPUBLIC NATIONAL BK OF NEW YORK-GRAND CAYMAN
022 B000009 13-2774726
022 C000009    524555
022 D000009         0
022 A000010 BAYERISCHE VEREINSBANK-GRAND CAYMAN
022 B000010 13-2774123
022 C000010    424150
022 D000010         0
023 C000000   10745696
023 D000000     869711
024  00AA00 N
025 D00AA01       0
025 D00AA02       0
025 D00AA03       0
025 D00AA04       0
025 D00AA05       0
025 D00AA06       0
025 D00AA07       0
025 D00AA08       0
026 A000000 Y
026 B000000 Y
026 C000000 Y
026 D000000 Y
026 E000000 N
026 F000000 Y
026 G010000 N
026 G020000 N
026 H000000 Y
027  000000 Y
037  00AA00 N
038  00AA00      0
039  00AA00 N
040  00AA00 Y
041  00AA00 Y
049  00AA00 N
<PAGE>      PAGE  4
050  00AA00 N
051  00AA00 N
052  00AA00 N
053 A00AA00 N
054 A00AA00 Y
054 B00AA00 Y
054 C00AA00 N
054 D00AA00 N
054 E00AA00 N
054 F00AA00 N
054 G00AA00 Y
054 H00AA00 Y
054 I00AA00 N
054 J00AA00 Y
054 K00AA00 N
054 L00AA00 N
054 M00AA00 Y
054 N00AA00 N
054 O00AA00 Y
058 A00AA00 N
059  00AA00 Y
060 A00AA00 Y
060 B00AA00 Y
061  00AA00     1000
066 A00AA00 N
067  00AA00 N
068 A00AA00 N
068 B00AA00 N
069  00AA00 N
077 A000000 Y
077 B000000 Y
077 C000000 N
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 N
078  000000 N
080 A00AA00 ICI MUTUAL INSURANCE COMPANY
080 C00AA00    22000
<PAGE>      PAGE  5
081 A00AA00 Y
081 B00AA00  56
082 A00AA00 Y
082 B00AA00      150
083 A00AA00 N
083 B00AA00        0
084 A00AA00 N
084 B00AA00        0
085 A00AA00 Y
085 B00AA00 N
086 A010000      0
086 A020000      0
086 B010000      0
086 B020000      0
086 C010000      0
086 C020000      0
086 D010000      0
086 D020000      0
086 E010000      0
086 E020000      0
086 F010000      0
086 F020000      0
028 A010100       739
028 A020100       129
028 A030100         0
028 A040100      1292
028 B010100      1767
028 B020100       139
028 B030100         0
028 B040100       852
028 C010100      1056
028 C020100       136
028 C030100         0
028 C040100       911
028 D010100      5423
028 D020100       150
028 D030100         0
028 D040100      1422
028 E010100      8692
028 E020100       146
028 E030100         0
028 E040100      7392
028 F010100      9134
028 F020100       151
028 F030100         0
028 F040100      8448
028 G010100     26811
028 G020100       851
028 G030100         0
028 G040100     20317
028 H000100       419
<PAGE>      PAGE  6
029  000100 Y
030 A000100     41
030 B000100  4.75
030 C000100  0.00
031 A000100      5
031 B000100      0
032  000100     35
033  000100      1
034  000100 Y
035  000100      8
036 A000100 N
036 B000100      0
042 A000100   0
042 B000100   0
042 C000100   0
042 D000100 100
042 E000100   0
042 F000100   0
042 G000100   0
042 H000100   0
043  000100    197
044  000100      0
045  000100 Y
046  000100 N
047  000100 Y
048  000100  0.500
048 A010100        0
048 A020100 0.000
048 B010100        0
048 B020100 0.000
048 C010100        0
048 C020100 0.000
048 D010100        0
048 D020100 0.000
048 E010100        0
048 E020100 0.000
048 F010100        0
048 F020100 0.000
048 G010100        0
048 G020100 0.000
048 H010100        0
048 H020100 0.000
048 I010100        0
048 I020100 0.000
048 J010100        0
048 J020100 0.000
048 K010100        0
048 K020100 0.000
055 A000100 N
055 B000100 N
056  000100 Y
<PAGE>      PAGE  7
057  000100 N
062 A000100 Y
062 B000100   0.0
062 C000100   0.0
062 D000100   6.0
062 E000100   0.0
062 F000100   0.0
062 G000100   0.0
062 H000100   0.0
062 I000100   0.0
062 J000100   0.0
062 K000100   0.0
062 L000100  -2.6
062 M000100  60.4
062 N000100  36.2
062 O000100   0.0
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100   0
063 B000100 21.7
064 A000100 N
064 B000100 N
070 A010100 Y
070 A020100 Y
070 B010100 N
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 Y
070 E020100 N
070 F010100 N
070 F020100 N
070 G010100 Y
070 G020100 N
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 N
070 K010100 N
070 K020100 N
070 L010100 N
070 L020100 N
070 M010100 N
070 M020100 N
070 N010100 Y
070 N020100 N
<PAGE>      PAGE  8
070 O010100 N
070 O020100 N
070 P010100 Y
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100     99697
071 B000100     95958
071 C000100     49488
071 D000100  194
072 A000100 12
072 B000100     3758
072 C000100        0
072 D000100        0
072 E000100        0
072 F000100      272
072 G000100        0
072 H000100        0
072 I000100      118
072 J000100       19
072 K000100       11
072 L000100       50
072 M000100        9
072 N000100       51
072 O000100        1
072 P000100        0
072 Q000100        0
072 R000100        8
072 S000100        1
072 T000100      197
072 U000100        0
072 V000100        0
072 W000100        8
072 X000100      745
072 Y000100        0
072 Z000100     3013
072AA000100      480
072BB000100     1092
072CC010100     1950
072CC020100        0
072DD010100     2523
072DD020100      445
072EE000100        0
073 A010100   0.3808
073 A020100   0.3291
073 B000100   0.0000
073 C000100   0.0000
074 A000100       30
074 B000100     3671
<PAGE>      PAGE  9
074 C000100        0
074 D000100    58884
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100        0
074 K000100       10
074 L000100      798
074 M000100       20
074 N000100    63413
074 O000100        0
074 P000100       71
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100     2347
074 S000100        0
074 T000100    60995
074 U010100     6606
074 U020100     1793
074 V010100     6.88
074 V020100     6.89
074 W000100   0.0000
074 X000100     3142
074 Y000100        0
075 A000100        0
075 B000100    54754
076  000100     0.00
028 A010300    103314
028 A020300      5275
028 A030300         0
028 A040300     21436
028 B010300     97996
028 B020300      5756
028 B030300         0
028 B040300     24274
028 C010300     98974
028 C020300      6078
028 C030300         0
028 C040300     20013
028 D010300    122185
028 D020300      6636
028 D030300         0
028 D040300     60155
028 E010300    125715
028 E020300      6160
028 E030300         0
028 E040300     36277
<PAGE>      PAGE  10
028 F010300    142124
028 F020300      6775
028 F030300         0
028 F040300     51000
028 G010300    690308
028 G020300     36680
028 G030300         0
028 G040300    213155
028 H000300    112150
029  000300 Y
030 A000300   9143
030 B000300  4.75
030 C000300  0.00
031 A000300   1048
031 B000300      0
032  000300   8055
033  000300     40
034  000300 Y
035  000300    843
036 A000300 N
036 B000300      0
042 A000300   0
042 B000300   0
042 C000300   1
042 D000300  99
042 E000300   0
042 F000300   0
042 G000300   0
042 H000300   0
043  000300   8911
044  000300      0
045  000300 Y
046  000300 N
047  000300 Y
048  000300  0.000
048 A010300  1000000
048 A020300 0.650
048 B010300        0
048 B020300 0.000
048 C010300        0
048 C020300 0.000
048 D010300        0
048 D020300 0.000
048 E010300        0
048 E020300 0.000
048 F010300        0
048 F020300 0.000
048 G010300        0
048 G020300 0.000
048 H010300        0
048 H020300 0.000
<PAGE>      PAGE  11
048 I010300        0
048 I020300 0.000
048 J010300        0
048 J020300 0.000
048 K010300  1000000
048 K020300 0.550
055 A000300 N
055 B000300 N
056  000300 Y
057  000300 N
062 A000300 Y
062 B000300   0.0
062 C000300   0.0
062 D000300   0.0
062 E000300   0.0
062 F000300   0.0
062 G000300   0.0
062 H000300   0.0
062 I000300   0.0
062 J000300   3.4
062 K000300   0.0
062 L000300   2.4
062 M000300   0.0
062 N000300   0.0
062 O000300   0.0
062 P000300  88.9
062 Q000300   5.3
062 R000300   0.0
063 A000300   0
063 B000300  8.3
064 A000300 N
064 B000300 N
070 A010300 Y
070 A020300 N
070 B010300 N
070 B020300 N
070 C010300 N
070 C020300 N
070 D010300 N
070 D020300 N
070 E010300 Y
070 E020300 N
070 F010300 N
070 F020300 N
070 G010300 N
070 G020300 N
070 H010300 N
070 H020300 N
070 I010300 N
070 I020300 N
070 J010300 Y
<PAGE>      PAGE  12
070 J020300 Y
070 K010300 N
070 K020300 N
070 L010300 Y
070 L020300 Y
070 M010300 Y
070 M020300 N
070 N010300 Y
070 N020300 N
070 O010300 Y
070 O020300 N
070 P010300 Y
070 P020300 N
070 Q010300 N
070 Q020300 N
070 R010300 N
070 R020300 N
071 A000300   1686932
071 B000300    780115
071 C000300   1262672
071 D000300   62
072 A000300 12
072 B000300   133943
072 C000300     5554
072 D000300        0
072 E000300        0
072 F000300     8248
072 G000300        0
072 H000300        0
072 I000300     2372
072 J000300      242
072 K000300      120
072 L000300      125
072 M000300       21
072 N000300      558
072 O000300        1
072 P000300        0
072 Q000300        0
072 R000300       60
072 S000300       30
072 T000300     8911
072 U000300        0
072 V000300        0
072 W000300       40
072 X000300    20728
072 Y000300        0
072 Z000300   118769
072AA000300    26645
072BB000300    17981
072CC010300    47952
072CC020300        0
<PAGE>      PAGE  13
072DD010300    52770
072DD020300    33770
072EE000300        0
073 A010300   0.6838
073 A020300   0.6277
073 B000300   0.0000
073 C000300   0.0000
074 A000300     2434
074 B000300        0
074 C000300    64100
074 D000300  1758354
074 E000300        0
074 F000300        0
074 G000300        0
074 H000300        0
074 I000300        0
074 J000300        0
074 K000300      241
074 L000300    58177
074 M000300       65
074 N000300  1883371
074 O000300     2306
074 P000300     1174
074 Q000300        0
074 R010300        0
074 R020300        0
074 R030300        0
074 R040300    13197
074 S000300        0
074 T000300  1866694
074 U010300    99415
074 U020300    70847
074 V010300     7.55
074 V020300     7.55
074 W000300   0.0000
074 X000300    52932
074 Y000300        0
075 A000300        0
075 B000300  1320264
076  000300     0.00
SIGNATURE   THOMAS G. ROSE                               
TITLE       TREASURER           
 


<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 011
   <NAME> SELIGMAN U.S.GOVERNMENT SECURITIES CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                            60292   
<INVESTMENTS-AT-VALUE>                           62555
<RECEIVABLES>                                      808
<ASSETS-OTHER>                                      50
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   63413
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                         2418
<TOTAL-LIABILITIES>                               2418
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         72991
<SHARES-COMMON-STOCK>                             6606<F1>
<SHARES-COMMON-PRIOR>                             6984<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (14259)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                          2263
<NET-ASSETS>                                     45426<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                 3067<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (544)<F1>
<NET-INVESTMENT-INCOME>                           2523<F1>
<REALIZED-GAINS-CURRENT>                         (612)
<APPREC-INCREASE-CURRENT>                         1950
<NET-CHANGE-FROM-OPS>                             4351
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                       (2523)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                           2402<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (2983)<F1>
<SHARES-REINVESTED>                                203<F1>
<NET-CHANGE-IN-ASSETS>                            4823
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (15178)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              222<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    544<F1>
<AVERAGE-NET-ASSETS>                             44386<F1>
<PER-SHARE-NAV-BEGIN>                             6.71<F1>
<PER-SHARE-NII>                                    .38<F1>
<PER-SHARE-GAIN-APPREC>                            .17<F1>
<PER-SHARE-DIVIDEND>                             (.38)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               6.88<F1>
<EXPENSE-RATIO>                                   1.23<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class A only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 012
   <NAME> SELIGMAN U.S.GOVERNMENT SECURITIES CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                            60292   
<INVESTMENTS-AT-VALUE>                           62555
<RECEIVABLES>                                      808
<ASSETS-OTHER>                                      50
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   63413
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                         2418
<TOTAL-LIABILITIES>                               2418
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         72991
<SHARES-COMMON-STOCK>                              467<F1>
<SHARES-COMMON-PRIOR>                                0<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (14259)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                          2263
<NET-ASSETS>                                      3219<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                   63<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (18)<F1>
<NET-INVESTMENT-INCOME>                             45<F1>
<REALIZED-GAINS-CURRENT>                         (612)
<APPREC-INCREASE-CURRENT>                         1950
<NET-CHANGE-FROM-OPS>                             4351
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (45)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            757<F1>
<NUMBER-OF-SHARES-REDEEMED>                      (295)<F1>
<SHARES-REINVESTED>                                  5<F1>
<NET-CHANGE-IN-ASSETS>                            4823
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (15178)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                5<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     19<F1>
<AVERAGE-NET-ASSETS>                               947<F1>
<PER-SHARE-NAV-BEGIN>                             6.73<F1>
<PER-SHARE-NII>                                    .33<F1>
<PER-SHARE-GAIN-APPREC>                            .16<F1>
<PER-SHARE-DIVIDEND>                             (.33)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               6.89<F1>
<EXPENSE-RATIO>                                   2.01<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class B only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 014
   <NAME> SELIGMAN U.S.GOVERNMENT SECURITIES CLASS D
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                            60292   
<INVESTMENTS-AT-VALUE>                           62555
<RECEIVABLES>                                      808
<ASSETS-OTHER>                                      50
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   63413
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                         2418
<TOTAL-LIABILITIES>                               2418
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         72991
<SHARES-COMMON-STOCK>                             1793<F1>
<SHARES-COMMON-PRIOR>                             1380<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (14259)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                          2263
<NET-ASSETS>                                     12350<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  628<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (183)<F1>
<NET-INVESTMENT-INCOME>                            445<F1>
<REALIZED-GAINS-CURRENT>                         (612)
<APPREC-INCREASE-CURRENT>                         1950
<NET-CHANGE-FROM-OPS>                             4351
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (445)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                           1790<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (1420)<F1>
<SHARES-REINVESTED>                                 43<F1>
<NET-CHANGE-IN-ASSETS>                            4823
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (15178)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               45<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    183<F1>
<AVERAGE-NET-ASSETS>                              9064<F1>
<PER-SHARE-NAV-BEGIN>                             6.73<F1>
<PER-SHARE-NII>                                    .33<F1>
<PER-SHARE-GAIN-APPREC>                            .16<F1>
<PER-SHARE-DIVIDEND>                             (.33)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               6.89<F1>
<EXPENSE-RATIO>                                   2.01<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class D only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 031
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          1752627
<INVESTMENTS-AT-VALUE>                         1822454
<RECEIVABLES>                                    58418
<ASSETS-OTHER>                                    2499
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 1883371
<PAYABLE-FOR-SECURITIES>                          2306
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        14371
<TOTAL-LIABILITIES>                              16677
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       1789217
<SHARES-COMMON-STOCK>                            99415<F1>
<SHARES-COMMON-PRIOR>                            56292<F1>
<ACCUMULATED-NII-CURRENT>                         2353
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           5297
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         69827
<NET-ASSETS>                                    750461<F1>
<DIVIDEND-INCOME>                                 2397<F1>
<INTEREST-INCOME>                                57798<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                  (6482)<F1>
<NET-INVESTMENT-INCOME>                          53713<F1>
<REALIZED-GAINS-CURRENT>                          8664
<APPREC-INCREASE-CURRENT>                        47952
<NET-CHANGE-FROM-OPS>                           175385
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (52770)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          68525<F1>
<NUMBER-OF-SHARES-REDEEMED>                    (29178)<F1>
<SHARES-REINVESTED>                               3776<F1>
<NET-CHANGE-IN-ASSETS>                         1044892
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       (3367)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             3570<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   6482<F1>
<AVERAGE-NET-ASSETS>                            569722<F1>
<PER-SHARE-NAV-BEGIN>                             7.25<F1>
<PER-SHARE-NII>                                    .70<F1>
<PER-SHARE-GAIN-APPREC>                            .28<F1>
<PER-SHARE-DIVIDEND>                             (.68)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.55<F1>
<EXPENSE-RATIO>                                   1.14<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class A only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 032
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          1752627
<INVESTMENTS-AT-VALUE>                         1822454
<RECEIVABLES>                                    58418
<ASSETS-OTHER>                                    2499
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 1883371
<PAYABLE-FOR-SECURITIES>                          2306
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        14371
<TOTAL-LIABILITIES>                              16677
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       1789217
<SHARES-COMMON-STOCK>                            76978<F1>
<SHARES-COMMON-PRIOR>                            20394<F1>
<ACCUMULATED-NII-CURRENT>                         2353
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           5297
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         69827
<NET-ASSETS>                                    581235<F1>
<DIVIDEND-INCOME>                                 1487<F1>
<INTEREST-INCOME>                                35853<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                  (6708)<F1>
<NET-INVESTMENT-INCOME>                          30632<F1>
<REALIZED-GAINS-CURRENT>                          8664
<APPREC-INCREASE-CURRENT>                        47952
<NET-CHANGE-FROM-OPS>                           175385
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (29875)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          61362<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (6604)<F1>
<SHARES-REINVESTED>                               1826<F1>
<NET-CHANGE-IN-ASSETS>                         1044892
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       (3367)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             2191<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   6708<F1>
<AVERAGE-NET-ASSETS>                            353535<F1>
<PER-SHARE-NAV-BEGIN>                             7.26<F1>
<PER-SHARE-NII>                                    .64<F1>
<PER-SHARE-GAIN-APPREC>                            .28<F1>
<PER-SHARE-DIVIDEND>                             (.63)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.55<F1>
<EXPENSE-RATIO>                                   1.90<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class B only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 034
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. D
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-END>                               DEC-31-1997
<INVESTMENTS-AT-COST>                          1752627
<INVESTMENTS-AT-VALUE>                         1822454
<RECEIVABLES>                                    58418
<ASSETS-OTHER>                                    2499
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 1883371
<PAYABLE-FOR-SECURITIES>                          2306
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        14371
<TOTAL-LIABILITIES>                              16677
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       1789217
<SHARES-COMMON-STOCK>                            70847<F1>
<SHARES-COMMON-PRIOR>                            36597<F1>
<ACCUMULATED-NII-CURRENT>                         2353
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           5297
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         69827
<NET-ASSETS>                                    534998<F1>
<DIVIDEND-INCOME>                                 1670<F1>
<INTEREST-INCOME>                                40292<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                  (7538)<F1>
<NET-INVESTMENT-INCOME>                          34424<F1>
<REALIZED-GAINS-CURRENT>                          8664
<APPREC-INCREASE-CURRENT>                        47952
<NET-CHANGE-FROM-OPS>                           175385
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (33771)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          44411<F1>
<NUMBER-OF-SHARES-REDEEMED>                    (12966)<F1>
<SHARES-REINVESTED>                               2805<F1>
<NET-CHANGE-IN-ASSETS>                         1044892
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       (3367)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             2487<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   7538<F1>
<AVERAGE-NET-ASSETS>                            397502<F1>
<PER-SHARE-NAV-BEGIN>                             7.26<F1>
<PER-SHARE-NII>                                    .64<F1>
<PER-SHARE-GAIN-APPREC>                            .28<F1>
<PER-SHARE-DIVIDEND>                             (.63)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.55<F1>
<EXPENSE-RATIO>                                   1.90<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class D only.  All other data are fund level.
</FN>
        


</TABLE>

INDEPENDENT AUDITORS' REPORT

The Board of Trustees
Seligman High Income Fund Series


In planning and  performing  our audit of the  financial  statements of Seligman
High  Income  Fund  Series  (the  "Company")   (including  the  U.S.  Government
Securities  Series and  High-Yield  Bond Series) for the year ended December 31,
1997 (on which we have issued our reports dated January 30, 1998), we considered
its internal control,  including control activities for safeguarding securities,
in order to determine our auditing  procedures for the purpose of expressing our
opinion on the financial  statements and to comply with the requirements of Form
N-SAR, and not to provide assurance on the Company's internal control.

The management of the Company is responsible  for  establishing  and maintaining
internal control. In fulfilling this responsibility,  estimates and judgments by
management  are  required to assess the expected  benefits and related  costs of
controls.  Generally,  controls  that are  relevant  to an audit  pertain to the
entity's objective of preparing financial  statements for external purposes that
are  fairly   presented  in  conformity  with  generally   accepted   accounting
principles.   Those  controls   include  the   safeguarding  of  assets  against
unauthorized acquisition, use, or disposition.

Because of inherent  limitations in internal control,  errors or fraud may occur
and not be detected.  Also,  projection of any evaluation of internal control to
future periods is subject to the risk that it may be become  inadequate  because
of changes in conditions or that the  effectiveness  of the design and operation
may deteriorate.

Our  consideration  of the  Company's  internal  control  would not  necessarily
disclose all matters in internal control that might be material weaknesses under
standards established by the American Institute of Certified Public Accountants.
A material  weakness is a condition  in which the design or  operation of one or
more of the internal  control  components  does not reduce to a  relatively  low
level the risk  that  errors  or fraud in  amounts  that  would be  material  in
relation to the financial statements being audited may occur and not be detected
within a timely  period by employees in the normal  course of  performing  their
assigned  functions.  However,  we  noted no  matters  involving  the  Company's
internal  control  and  its  operation,   including  controls  for  safeguarding
securities,  that we consider to be material  weaknesses  as defined above as of
December 31, 1997.

This report is intended solely for the  information  and use of management,  the
Board of Trustees of Seligman High Income Fund Series,  and the  Securities  and
Exchange Commission.



/s/Deloitte & Touche LLP
- ------------------------
Deloitte & Touche LLP
January 30, 1998



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