Histon moved above Kettering into third place in the Blue Square Premier after securing their sixth successive win.
Kettering goalkeeper Lee Harper made a fine double save to deny Daniel Wright, while Curtis Arther went close for the visitors with a 25-yard piledriver.
The winner came from Jack Midson, who headed home a Wright cross.
Neil Andrews fired just wide for the home side but Jean-Paul Marna wasted two late chances to level, shooting wide and lobbing over the bar.
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