Kettering substitute Jean-Paul Marna fired home from the penalty spot to earn a 1-0 win at Aggborough just eight minutes after leaving the bench.
A lively encounter looked to be heading for stalemate until defender Gavin Caines fouled another Kettering sub Danny Thomas - and Marna slotted home.
Harriers went close through Chris McPhee, who fired wide from 20 yards.
And new signing Robbie Matthews, who was booked on his home debut, hit the crossbar from 25 yards on 76 minutes.
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Kidderminster:
Coleman, Courtney, Baker, Caines, Riley, McPhee, Bennett, Smikle, Knights (McDermott 81), Barnes-Homer, Matthews. Subs: Singh, Finnigan, Dolman, Hadley.
Booked: Matthews
Kettering:
Harper, Eaden, Jennings, Dempster, Geohaghon, Fowler (Wrack 70), Noubissie, Green (Marna 78), Seddon (Thomas 70), Spencer, Boucaud. Subs: Taylor, McPike.
Booked: Jennings
Goal: Marna pen (84)
Referee: Rob Merchant (Staffordshire)
Attendance: 1,368
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