Crawley lost top spot in the Blue Square Premier as Histon claimed a deserved win to move within two points of their high-flying opponents.
Histon's Josh Simpson smashed a superb first-half shot against the woodwork from 12 yards and Jack Midson sent a header against a post after the break.
Crawley struggled, with Jon-Paul Pittman's shot their best chance.
Histon got their goal on 75 minutes when Simpson crossed and Antonio Murray drove home from 12 yards.
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