FEDERATED INCOME SECURITIES TRUST
NSAR-B, 1999-06-29
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<PAGE>      PAGE  1
000 B000000 04/30/99
000 C000000 0000789281
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0.a
000 J000000 U
001 A000000 FEDERATED INCOME SECURITIES TRUST
001 B000000 811-4577
001 C000000 4122882614
002 A000000 FEDERATED INVESTORS TOWER
002 B000000 PITTSBURGH
002 C000000 PA
002 D010000 15222
002 D020000 3779
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  2
007 C010100  1
007 C020100 FEDERATED SHORT-TERM INCOME FUND
007 C030100 N
007 C010200  2
007 C020200 FEDERATED INTERMEDIATE INCOME FUND
007 C030200 N
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 A00AA01 FEDERATED INVESTMENT MANAGEMENT COMPANY
008 B00AA01 A
008 C00AA01 801-34610
008 D01AA01 PITTSBURGH
008 D02AA01 PA
008 D03AA01 15222
008 D04AA01 3779
010 A00AA01 FEDERATED SERVICES COMPANY
010 C01AA01 PITTSBURGH
010 C02AA01 PA
010 C03AA01 15222
010 C04AA01 3779
011 A00AA01 FEDERATED SECURITIES CORP.
011 B00AA01 8-15561
<PAGE>      PAGE  2
011 C01AA01 PITTSBURGH
011 C02AA01 PA
011 C03AA01 15222
011 C04AA01 3779
012 A00AA01 FEDERATED SHAREHOLDER SERVICES COMPANY
012 B00AA01 84-1869
012 C01AA01 PITTSBURGH
012 C02AA01 PA
012 C03AA01 15222
012 C04AA01 3779
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 PITTSBURGH
013 B02AA01 PA
013 B03AA01 15219
015 A00AA01 STATE STREET BANK & TRUST CO.
015 B00AA01 C
015 C01AA01 BOSTON
015 C02AA01 MA
015 C03AA01 02266
015 C04AA01 8600
015 E01AA01 X
015 A00AA02 BANKERS TRUST CO.
015 B00AA02 S
015 C01AA02 NEW YORK
015 C02AA02 NY
015 C03AA02 10015
015 E01AA02 X
015 A00AA03 BANK OF NEW YORK
015 B00AA03 S
015 C01AA03 NEW YORK
015 C02AA03 NY
015 C03AA03 10006
015 E01AA03 X
015 A00AA04 THE CHASE MANHATTAN CORP.
015 B00AA04 S
015 C01AA04 NEW YORK
015 C02AA04 NY
015 C03AA04 10006
015 E01AA04 X
015 A00AA05 MORGAN GUARANTY BANK & TRUST CO.
015 B00AA05 S
015 C01AA05 NEW YORK
015 C02AA05 NY
015 C03AA05 10015
015 E01AA05 X
015 A00AA06 NATIONSBANK OF NORTH CAROLINA
015 B00AA06 S
015 C01AA06 CHARLOTTE
015 C02AA06 NC
015 C03AA06 28255
015 E01AA06 X
<PAGE>      PAGE  3
015 A00AA07 PNC BANK, NA
015 B00AA07 S
015 C01AA07 PITTSBURGH
015 C02AA07 PA
015 C03AA07 15265
015 E01AA07 X
018  00AA00 Y
019 A00AA00 N
019 B00AA00    0
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 ABN AMRO CHICAGO CORPORATION
022 C000001   1576990
022 D000001       810
022 A000002 BT SECURITIES CORPORATION
022 B000002 13-4941247
022 C000002   1101365
022 D000002         0
022 A000003 WESTDEUTSCHE LANDESBANK
022 C000003    524660
022 D000003         0
022 A000004 CS FIRST BOSTON CORP
022 B000004 13-5659485
022 C000004    392424
022 D000004         0
022 A000005 BEAR STEARNS SECURITIES
022 B000005 13-3299429
022 C000005    119427
022 D000005     15425
022 A000006 SALOMON SMITH BARNEYCIATES, INC.
022 B000006 13-1912900
022 C000006     61159
022 D000006      5502
022 A000007 MORGAN GUARANTY TRUST CO
022 B000007 13-5123346
022 C000007     44972
022 D000007     21492
022 A000008 RAYMOND JAMES & ASSOCIATES, INC
022 B000008 59-1237041
022 C000008     42902
022 D000008         0
022 A000009 GREENWICH CAPITAL MARKETS
<PAGE>      PAGE  4
022 C000009     36948
022 D000009      3901
022 A000010 LEHMAN BROTHERS INC.
022 B000010 13-2518466
022 C000010     20019
022 D000010      6186
023 C000000    4008722
023 D000000      76378
026 A000000 N
026 B000000 Y
026 C000000 Y
026 D000000 N
026 E000000 Y
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 Y
027  000000 Y
029  00AA00 N
030 A00AA00      0
030 B00AA00  0.00
030 C00AA00  0.00
031 A00AA00      0
031 B00AA00      0
032  00AA00      0
033  00AA00      0
034  00AA00 N
035  00AA00      0
036 B00AA00      0
049  00AA00 N
050  00AA00 N
051  00AA00 N
052  00AA00 N
053 A00AA00 Y
053 B00AA00 Y
053 C00AA00 N
054 A00AA00 N
054 B00AA00 N
054 C00AA00 N
054 D00AA00 N
054 E00AA00 N
054 F00AA00 N
054 G00AA00 N
054 H00AA00 N
054 I00AA00 N
054 J00AA00 N
054 K00AA00 N
054 L00AA00 N
054 M00AA00 N
054 N00AA00 N
054 O00AA00 N
<PAGE>      PAGE  5
055 A00AA00 Y
055 B00AA00 N
056  00AA00 N
057  00AA00 N
058 A00AA00 N
059  00AA00 Y
060 A00AA00 Y
060 B00AA00 Y
061  00AA00    25000
066 A00AA00 N
067  00AA00 N
068 A00AA00 N
068 B00AA00 N
069  00AA00 N
077 A000000 Y
077 B000000 N
077 C000000 N
077 D000000 Y
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 LLOYD'S OF LONDON
080 B00AA00 ZURICH INSURANCE COMPANY; RELIANCE INSURANCE
080 C00AA00    70000
081 A00AA00 Y
081 B00AA00 153
082 A00AA00 N
082 B00AA00        0
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
<PAGE>      PAGE  6
086 C010000      0
086 C020000      0
086 D010000      0
086 D020000      0
086 E010000      0
086 E020000      0
086 F010000      0
086 F020000      0
024  000100 Y
025 A000101 LEHMAN BROTHERS INC.
025 B000101 13-2518466
025 C000101 D
025 D000101    2334
025 A000102 MERRILL LYNCH & CO., INC.
025 B000102 13-5674085
025 C000102 D
025 D000102    2028
025 D000103       0
025 D000104       0
025 D000105       0
025 D000106       0
025 D000107       0
025 D000108       0
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028 A020100       343
028 A030100         0
028 A040100      7805
028 B010100      5510
028 B020100       330
028 B030100         0
028 B040100      7551
028 C010100      5868
028 C020100       348
028 C030100         0
028 C040100      4285
028 D010100      8322
028 D020100       335
028 D030100         0
028 D040100      7572
028 E010100      6541
028 E020100       326
028 E030100         0
028 E040100      5242
028 F010100     12373
028 F020100       674
028 F030100         0
028 F040100     10236
028 G010100     44753
028 G020100      2356
028 G030100         0
028 G040100     42691
<PAGE>      PAGE  7
028 H000100         0
037  000100 N
038  000100      0
039  000100 N
040  000100 Y
041  000100 Y
042 A000100   0
042 B000100   0
042 C000100   0
042 D000100   0
042 E000100   0
042 F000100   0
042 G000100   0
042 H000100   0
043  000100     46
044  000100      0
045  000100 Y
046  000100 N
047  000100 Y
048  000100  0.400
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
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
<PAGE>      PAGE  8
062 J000100   0.0
062 K000100   0.0
062 L000100   0.0
062 M000100   3.1
062 N000100   4.5
062 O000100   0.0
062 P000100  60.1
062 Q000100  29.7
062 R000100   0.0
063 A000100   0
063 B000100 13.9
064 A000100 N
064 B000100 N
070 A010100 Y
070 A020100 Y
070 B010100 N
070 B020100 N
070 C010100 N
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 N
070 E020100 N
070 F010100 N
070 F020100 N
070 G010100 N
070 G020100 N
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 Y
070 K010100 Y
070 K020100 N
070 L010100 Y
070 L020100 Y
070 M010100 N
070 M020100 N
070 N010100 Y
070 N020100 N
070 O010100 Y
070 O020100 N
070 P010100 Y
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 Y
070 R020100 N
071 A000100    116302
071 B000100    109132
<PAGE>      PAGE  9
071 C000100    202885
071 D000100   54
072 A000100 12
072 B000100    13626
072 C000100        0
072 D000100        0
072 E000100        0
072 F000100      846
072 G000100      159
072 H000100        0
072 I000100       54
072 J000100       16
072 K000100        0
072 L000100       28
072 M000100        8
072 N000100       31
072 O000100        0
072 P000100        0
072 Q000100       72
072 R000100       18
072 S000100        6
072 T000100      575
072 U000100        0
072 V000100        0
072 W000100       13
072 X000100     1826
072 Y000100      587
072 Z000100    12387
072AA000100        0
072BB000100      474
072CC010100        0
072CC020100     1277
072DD010100    11460
072DD020100     1046
072EE000100        0
073 A010100   0.5200
073 A020100   0.5000
073 B000100   0.0000
073 C000100   0.0000
074 A000100        0
074 B000100    12895
074 C000100        0
074 D000100   207922
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100      182
074 K000100        0
074 L000100     2283
<PAGE>      PAGE  10
074 M000100        0
074 N000100   223282
074 O000100     8562
074 P000100        0
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100     1164
074 S000100        0
074 T000100   213556
074 U010100    21784
074 U020100     2860
074 V010100     8.67
074 V020100     8.67
074 W000100   0.0000
074 X000100     1300
074 Y000100        0
075 A000100        0
075 B000100   211414
076  000100     0.00
024  000200 Y
025 A000201 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
025 B000201 13-2741729
025 C000201 D
025 D000201    1534
025 A000202 MERRILL LYNCH & CO., INC.
025 B000202 13-5674085
025 C000202 D
025 D000202     713
025 A000203 LEHMAN BROTHERS INC.
025 B000203 13-2518466
025 C000203 D
025 D000203    2652
025 A000204 SALOMON SMITH BARNEY
025 B000204 13-1912900
025 C000204 D
025 D000204      15
025 A000205 MORGAN STANLEY AND CO., INC.
025 B000205 13-2655998
025 C000205 D
025 D000205    1004
025 D000206       0
025 D000207       0
025 D000208       0
028 A010200     13538
028 A020200       238
028 A030200         0
028 A040200      5340
028 B010200     14203
028 B020200       289
<PAGE>      PAGE  11
028 B030200         0
028 B040200      5749
028 C010200     13974
028 C020200       273
028 C030200         0
028 C040200      6055
028 D010200      8888
028 D020200       276
028 D030200         0
028 D040200      4014
028 E010200     16937
028 E020200       304
028 E030200         0
028 E040200      5124
028 F010200      8486
028 F020200       621
028 F030200         0
028 F040200     10383
028 G010200     76026
028 G020200      2001
028 G030200         0
028 G040200     36665
028 H000200         0
037  000200 N
038  000200      0
039  000200 N
040  000200 Y
041  000200 Y
042 A000200   0
042 B000200   0
042 C000200   0
042 D000200   0
042 E000200   0
042 F000200   0
042 G000200   0
042 H000200   0
043  000200     22
044  000200      0
045  000200 Y
046  000200 N
047  000200 Y
048  000200  0.500
048 A010200        0
048 A020200 0.000
048 B010200        0
048 B020200 0.000
048 C010200        0
048 C020200 0.000
048 D010200        0
048 D020200 0.000
048 E010200        0
<PAGE>      PAGE  12
048 E020200 0.000
048 F010200        0
048 F020200 0.000
048 G010200        0
048 G020200 0.000
048 H010200        0
048 H020200 0.000
048 I010200        0
048 I020200 0.000
048 J010200        0
048 J020200 0.000
048 K010200        0
048 K020200 0.000
062 A000200 Y
062 B000200   0.0
062 C000200   0.0
062 D000200   0.8
062 E000200   0.0
062 F000200   0.0
062 G000200   0.0
062 H000200   0.0
062 I000200   0.0
062 J000200   0.0
062 K000200   0.0
062 L000200   0.0
062 M000200  12.0
062 N000200   7.8
062 O000200   0.0
062 P000200  59.3
062 Q000200   3.3
062 R000200  15.4
063 A000200   0
063 B000200  8.3
064 A000200 Y
064 B000200 N
070 A010200 Y
070 A020200 Y
070 B010200 N
070 B020200 N
070 C010200 Y
070 C020200 N
070 D010200 N
070 D020200 N
070 E010200 N
070 E020200 N
070 F010200 N
070 F020200 N
070 G010200 Y
070 G020200 N
070 H010200 N
070 H020200 N
<PAGE>      PAGE  13
070 I010200 N
070 I020200 N
070 J010200 Y
070 J020200 Y
070 K010200 Y
070 K020200 N
070 L010200 Y
070 L020200 Y
070 M010200 Y
070 M020200 N
070 N010200 Y
070 N020200 N
070 O010200 Y
070 O020200 N
070 P010200 Y
070 P020200 N
070 Q010200 N
070 Q020200 N
070 R010200 N
070 R020200 N
071 A000200    142749
071 B000200     79694
071 C000200    196520
071 D000200   41
072 A000200 12
072 B000200    12626
072 C000200      443
072 D000200        0
072 E000200        0
072 F000200     1017
072 G000200      155
072 H000200        0
072 I000200       92
072 J000200       17
072 K000200        0
072 L000200       33
072 M000200        5
072 N000200       46
072 O000200        0
072 P000200        0
072 Q000200       88
072 R000200       18
072 S000200        6
072 T000200      530
072 U000200        0
072 V000200        0
072 W000200       13
072 X000200     2020
072 Y000200      870
072 Z000200    11919
072AA000200      553
<PAGE>      PAGE  14
072BB000200        0
072CC010200        0
072CC020200     3196
072DD010200    11440
072DD020200      499
072EE000200       87
073 A010200   0.6000
073 A020200   0.5800
073 B000200   0.0000
073 C000200   0.0000
074 A000200        0
074 B000200     1775
074 C000200        0
074 D000200   192031
074 E000200     2256
074 F000200        0
074 G000200        0
074 H000200        0
074 I000200    33713
074 J000200        0
074 K000200        0
074 L000200     5054
074 M000200        0
074 N000200   234829
074 O000200      744
074 P000200        0
074 Q000200        0
074 R010200        0
074 R020200        0
074 R030200        0
074 R040200     1056
074 S000200        0
074 T000200   233029
074 U010200    21838
074 U020200     1312
074 V010200    10.07
074 V020200    10.07
074 W000200   0.0000
074 X000200      565
074 Y000200        0
075 A000200        0
075 B000200   203432
076  000200     0.00
SIGNATURE   STEVE KEANE
TITLE       GENERAL COUNSEL


WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.

<TABLE> <S> <C>

<ARTICLE>                         6
<CIK>                             0000789281
<NAME>                            Federated Income Securities Trust
<SERIES>
     <NUMBER>                     011
     <NAME>                       Federated Short-Term Income Fund - Institutional Shares

<S>                               <C>
<PERIOD-TYPE>                     12-mos
<FISCAL-YEAR-END>                 Apr-30-1999
<PERIOD-END>                      Apr-30-1999
<INVESTMENTS-AT-COST>             221,299,015
<INVESTMENTS-AT-VALUE>            220,817,234
<RECEIVABLES>                     2,465,240
<ASSETS-OTHER>                    0
<OTHER-ITEMS-ASSETS>              0
<TOTAL-ASSETS>                    223,282,474
<PAYABLE-FOR-SECURITIES>          8,562,396
<SENIOR-LONG-TERM-DEBT>           0
<OTHER-ITEMS-LIABILITIES>         1,164,181
<TOTAL-LIABILITIES>               9,726,577
<SENIOR-EQUITY>                   0
<PAID-IN-CAPITAL-COMMON>          238,494,876
<SHARES-COMMON-STOCK>             21,783,596
<SHARES-COMMON-PRIOR>             22,605,037
<ACCUMULATED-NII-CURRENT>         0
<OVERDISTRIBUTION-NII>            (379,061)
<ACCUMULATED-NET-GAINS>           (24,078,137)
<OVERDISTRIBUTION-GAINS>          0
<ACCUM-APPREC-OR-DEPREC>          (481,781)
<NET-ASSETS>                      213,555,897
<DIVIDEND-INCOME>                 0
<INTEREST-INCOME>                 13,626,011
<OTHER-INCOME>                    0
<EXPENSES-NET>                    (1,239,176)
<NET-INVESTMENT-INCOME>           12,386,835
<REALIZED-GAINS-CURRENT>          (473,737)
<APPREC-INCREASE-CURRENT>         (1,277,233)
<NET-CHANGE-FROM-OPS>             10,635,865
<EQUALIZATION>                    0
<DISTRIBUTIONS-OF-INCOME>         (11,460,278)
<DISTRIBUTIONS-OF-GAINS>          0
<DISTRIBUTIONS-OTHER>             0
<NUMBER-OF-SHARES-SOLD>           9,621,324
<NUMBER-OF-SHARES-REDEEMED>       (10,846,334)
<SHARES-REINVESTED>               403,569
<NET-CHANGE-IN-ASSETS>            1,163,475
<ACCUMULATED-NII-PRIOR>           0
<ACCUMULATED-GAINS-PRIOR>         (24,736,864)
<OVERDISTRIB-NII-PRIOR>           (259,441)
<OVERDIST-NET-GAINS-PRIOR>        0
<GROSS-ADVISORY-FEES>             845,655
<INTEREST-EXPENSE>                0
<GROSS-EXPENSE>                   1,825,923
<AVERAGE-NET-ASSETS>              193,031,419
<PER-SHARE-NAV-BEGIN>             8.740
<PER-SHARE-NII>                   0.520
<PER-SHARE-GAIN-APPREC>           (0.070)
<PER-SHARE-DIVIDEND>              (0.520)
<PER-SHARE-DISTRIBUTIONS>         0.000
<RETURNS-OF-CAPITAL>              0.000
<PER-SHARE-NAV-END>               8.670
<EXPENSE-RATIO>                   0.56
[AVG-DEBT-OUTSTANDING]            0
[AVG-DEBT-PER-SHARE]              0.000



</TABLE>
WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.

<TABLE> <S> <C>

<ARTICLE>                         6
<CIK>                             0000789281
<NAME>                            Federated Income Securities Trust
<SERIES>
     <NUMBER>                     021
     <NAME>                       Federated Intermediate Income Fund - Institutional Shares

<S>                               <C>
<PERIOD-TYPE>                     12-mos
<FISCAL-YEAR-END>                 Apr-30-1999
<PERIOD-END>                      Apr-30-1999
<INVESTMENTS-AT-COST>             229,058,938
<INVESTMENTS-AT-VALUE>            229,774,984
<RECEIVABLES>                     5,053,924
<ASSETS-OTHER>                    0
<OTHER-ITEMS-ASSETS>              0
<TOTAL-ASSETS>                    234,828,908
<PAYABLE-FOR-SECURITIES>          744,225
<SENIOR-LONG-TERM-DEBT>           0
<OTHER-ITEMS-LIABILITIES>         1,056,003
<TOTAL-LIABILITIES>               1,800,228
<SENIOR-EQUITY>                   0
<PAID-IN-CAPITAL-COMMON>          231,735,094
<SHARES-COMMON-STOCK>             21,837,776
<SHARES-COMMON-PRIOR>             17,378,600
<ACCUMULATED-NII-CURRENT>         29,249
<OVERDISTRIBUTION-NII>            0
<ACCUMULATED-NET-GAINS>           548,291
<OVERDISTRIBUTION-GAINS>          0
<ACCUM-APPREC-OR-DEPREC>          716,046
<NET-ASSETS>                      233,028,680
<DIVIDEND-INCOME>                 442,457
<INTEREST-INCOME>                 12,626,090
<OTHER-INCOME>                    0
<EXPENSES-NET>                    (1,149,829)
<NET-INVESTMENT-INCOME>           11,918,718
<REALIZED-GAINS-CURRENT>          553,848
<APPREC-INCREASE-CURRENT>         (3,196,353)
<NET-CHANGE-FROM-OPS>             9,276,213
<EQUALIZATION>                    0
<DISTRIBUTIONS-OF-INCOME>         (11,439,982)
<DISTRIBUTIONS-OF-GAINS>          (83,351)
<DISTRIBUTIONS-OTHER>             0
<NUMBER-OF-SHARES-SOLD>           10,386,832
<NUMBER-OF-SHARES-REDEEMED>       (6,189,112)
<SHARES-REINVESTED>               261,456
<NET-CHANGE-IN-ASSETS>            51,794,387
<ACCUMULATED-NII-PRIOR>           43,916
<ACCUMULATED-GAINS-PRIOR>         87,749
<OVERDISTRIB-NII-PRIOR>           0
<OVERDIST-NET-GAINS-PRIOR>        0
<GROSS-ADVISORY-FEES>             1,017,158
<INTEREST-EXPENSE>                0
<GROSS-EXPENSE>                   2,019,818
<AVERAGE-NET-ASSETS>              194,594,593
<PER-SHARE-NAV-BEGIN>             10.170
<PER-SHARE-NII>                   0.600
<PER-SHARE-GAIN-APPREC>           (0.100)
<PER-SHARE-DIVIDEND>              (0.600)
<PER-SHARE-DISTRIBUTIONS>         0.000
<RETURNS-OF-CAPITAL>              0.000
<PER-SHARE-NAV-END>               10.070
<EXPENSE-RATIO>                   0.55
[AVG-DEBT-OUTSTANDING]            0
[AVG-DEBT-PER-SHARE]              0.000



</TABLE>
WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.

<TABLE> <S> <C>

<ARTICLE>                         6
<CIK>                             0000789281
<NAME>                            Federated Income Securities Trust
<SERIES>
     <NUMBER>                     012
     <NAME>                       Federated Short-Term Income Fund - Institutional Service Shares

<S>                               <C>
<PERIOD-TYPE>                     12-mos
<FISCAL-YEAR-END>                 Apr-30-1999
<PERIOD-END>                      Apr-30-1999
<INVESTMENTS-AT-COST>             221,299,015
<INVESTMENTS-AT-VALUE>            220,817,234
<RECEIVABLES>                     2,465,240
<ASSETS-OTHER>                    0
<OTHER-ITEMS-ASSETS>              0
<TOTAL-ASSETS>                    223,282,474
<PAYABLE-FOR-SECURITIES>          8,562,396
<SENIOR-LONG-TERM-DEBT>           0
<OTHER-ITEMS-LIABILITIES>         1,164,181
<TOTAL-LIABILITIES>               9,726,577
<SENIOR-EQUITY>                   0
<PAID-IN-CAPITAL-COMMON>          238,494,876
<SHARES-COMMON-STOCK>             2,859,980
<SHARES-COMMON-PRIOR>             1,691,081
<ACCUMULATED-NII-CURRENT>         0
<OVERDISTRIBUTION-NII>            (379,061)
<ACCUMULATED-NET-GAINS>           (24,078,137)
<OVERDISTRIBUTION-GAINS>          0
<ACCUM-APPREC-OR-DEPREC>          (481,781)
<NET-ASSETS>                      213,555,897
<DIVIDEND-INCOME>                 0
<INTEREST-INCOME>                 13,626,011
<OTHER-INCOME>                    0
<EXPENSES-NET>                    (1,239,176)
<NET-INVESTMENT-INCOME>           12,386,835
<REALIZED-GAINS-CURRENT>          (473,737)
<APPREC-INCREASE-CURRENT>         (1,277,233)
<NET-CHANGE-FROM-OPS>             10,635,865
<EQUALIZATION>                    0
<DISTRIBUTIONS-OF-INCOME>         (1,046,067)
<DISTRIBUTIONS-OF-GAINS>          0
<DISTRIBUTIONS-OTHER>             0
<NUMBER-OF-SHARES-SOLD>           2,684,133
<NUMBER-OF-SHARES-REDEEMED>       (1,577,954)
<SHARES-REINVESTED>               62,720
<NET-CHANGE-IN-ASSETS>            1,163,475
<ACCUMULATED-NII-PRIOR>           0
<ACCUMULATED-GAINS-PRIOR>         (24,736,864)
<OVERDISTRIB-NII-PRIOR>           (259,441)
<OVERDIST-NET-GAINS-PRIOR>        0
<GROSS-ADVISORY-FEES>             845,655
<INTEREST-EXPENSE>                0
<GROSS-EXPENSE>                   1,825,923
<AVERAGE-NET-ASSETS>              18,382,410
<PER-SHARE-NAV-BEGIN>             8.740
<PER-SHARE-NII>                   0.500
<PER-SHARE-GAIN-APPREC>           (0.070)
<PER-SHARE-DIVIDEND>              (0.500)
<PER-SHARE-DISTRIBUTIONS>         0.000
<RETURNS-OF-CAPITAL>              0.000
<PER-SHARE-NAV-END>               8.670
<EXPENSE-RATIO>                   0.81
[AVG-DEBT-OUTSTANDING]            0
[AVG-DEBT-PER-SHARE]              0.000



</TABLE>
WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.

<TABLE> <S> <C>

<ARTICLE>                         6
<CIK>                             0000789281
<NAME>                            Federated Income Securities Trust
<SERIES>
     <NUMBER>                     022
     <NAME>                       Federated Intermediate Income Fund - Institutional Service Shares

<S>                               <C>
<PERIOD-TYPE>                     12-mos
<FISCAL-YEAR-END>                 Apr-30-1999
<PERIOD-END>                      Apr-30-1999
<INVESTMENTS-AT-COST>             229,058,938
<INVESTMENTS-AT-VALUE>            229,774,984
<RECEIVABLES>                     5,053,924
<ASSETS-OTHER>                    0
<OTHER-ITEMS-ASSETS>              0
<TOTAL-ASSETS>                    234,828,908
<PAYABLE-FOR-SECURITIES>          744,225
<SENIOR-LONG-TERM-DEBT>           0
<OTHER-ITEMS-LIABILITIES>         1,056,003
<TOTAL-LIABILITIES>               1,800,228
<SENIOR-EQUITY>                   0
<PAID-IN-CAPITAL-COMMON>          231,735,094
<SHARES-COMMON-STOCK>             1,311,740
<SHARES-COMMON-PRIOR>             444,701
<ACCUMULATED-NII-CURRENT>         29,249
<OVERDISTRIBUTION-NII>            0
<ACCUMULATED-NET-GAINS>           548,291
<OVERDISTRIBUTION-GAINS>          0
<ACCUM-APPREC-OR-DEPREC>          716,046
<NET-ASSETS>                      233,028,680
<DIVIDEND-INCOME>                 442,457
<INTEREST-INCOME>                 12,626,090
<OTHER-INCOME>                    0
<EXPENSES-NET>                    (1,149,829)
<NET-INVESTMENT-INCOME>           11,918,718
<REALIZED-GAINS-CURRENT>          553,848
<APPREC-INCREASE-CURRENT>         (3,196,353)
<NET-CHANGE-FROM-OPS>             9,276,213
<EQUALIZATION>                    0
<DISTRIBUTIONS-OF-INCOME>         (499,158)
<DISTRIBUTIONS-OF-GAINS>          (4,200)
<DISTRIBUTIONS-OTHER>             0
<NUMBER-OF-SHARES-SOLD>           1,259,281
<NUMBER-OF-SHARES-REDEEMED>       (430,825)
<SHARES-REINVESTED>               38,583
<NET-CHANGE-IN-ASSETS>            51,794,387
<ACCUMULATED-NII-PRIOR>           43,916
<ACCUMULATED-GAINS-PRIOR>         87,749
<OVERDISTRIB-NII-PRIOR>           0
<OVERDIST-NET-GAINS-PRIOR>        0
<GROSS-ADVISORY-FEES>             1,017,158
<INTEREST-EXPENSE>                0
<GROSS-EXPENSE>                   2,019,818
<AVERAGE-NET-ASSETS>              8,837,038
<PER-SHARE-NAV-BEGIN>             10.170
<PER-SHARE-NII>                   0.580
<PER-SHARE-GAIN-APPREC>           (0.100)
<PER-SHARE-DIVIDEND>              (0.580)
<PER-SHARE-DISTRIBUTIONS>         0.000
<RETURNS-OF-CAPITAL>              0.000
<PER-SHARE-NAV-END>               10.070
<EXPENSE-RATIO>                   0.80
[AVG-DEBT-OUTSTANDING]            0
[AVG-DEBT-PER-SHARE]              0.000



</TABLE>


To the Shareholders and Board of Trustees of
Federated Income Securities Trust

In planning and performing our audit of the financial statements of Federated
Income Securities Trust (comprised of Federated Intermediate Income Fund and
Federated Short-Term Income Fund) for the year ended April 30, 1999, 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, not to provide assurance on the internal control.

The management of Federated Income Securities Trust 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 become inadequate because
of changes in conditions or that the effectiveness of the design and operation
may deteriorate.

Our consideration of the internal control would not necessarily disclose all
matters in the 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 internal control and its operation, including controls for safeguarding
securities, that we consider to be material weaknesses as defined above at
April 30, 1999.

This report is intended solely for the information and use of the board of
trustees, management and the Securities and Exchange Commission.




June 17, 1999




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