Jean-Paul Marna scored a brace as play-off chasing Kettering made it five games without defeat.
Marna volleyed in his first after 10 minutes from Luke Potter's pass, but Shaun Densmore levelled with a 25-yard strike with 27 minutes remaining.
Chris Senior, Matthew Doughty and Dale Johnson missed chances for the Robins before the hosts regained the lead.
Marna drilled home a right-foot shot before Brett Solkhon headed in a Craig Westcarr cross to seal the win.
Kettering: Harper, Dempster, Geohaghan, Branston, Luke Potter, Marna (Wrack 85), Solkhon, Boucaud, Richard Graham (Alfie Potter 73), Westcarr, Seddon (Beardsley 76).
Subs Not Used: Eaden, Jason Lee.
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