Iyseden Christie struck a late winner as Kettering snatched the victory after playing the second half with 10 men.
Christie nodded home Gareth Seddon's cross three minutes into added time as Salisbury suffered a fifth successive Blue Square Premier defeat.
Things had looked so much brighter for Salisbury after five minutes when Charlie Griffin side-footed home.
Tommy Jaszczun was sent off just before half-time, but Kettering equalised when John Dempster blasted in a corner.
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Salisbury: Bittner, Clohessy, Cook, Sangare (Beavan 24), Robinson, Dutton, Turk (Davies 81), Darrell Clarke, Feeney (Herring 81), Griffin, Tubbs.
Subs Not Used: Matthews, Bartlett.
Booked: Tubbs, Clohessy, Griffin, Darrell Clarke, Robinson.
Goals: Griffin 5.
Kettering: Harper, Dempster, Branston, Geohaghan, Jaszczun, Eaden (Potter 53), Boucaud, Wrack, Westcarr (Seddon 73), Christie, Beardsley (Marna 58).
Subs Not Used: Solkhon, Lee.
Sent Off: Jaszczun (45).
Booked: Branston, Eaden, Marna, Potter.
Goals: Dempster 76, Christie 90.
Att: 1,191
Ref: R Lee (Brentwood).
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