Wilfred Dormoraud gave struggling Woking a welcome boost when his second half goal proved decisive.
Liam Marum's 56th-minute cross found Dorman and he slotted in from the left side of the area.
Histon missed a chance to level with seven minutes remaining when Jamie Barker volleyed wide.
Woking should have gone ahead after 30 minutes when Guiseppe Sole floated over a corner, but Paul Lorraine's header was off target.
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Histon: Naisbitt, Oyebanjo, Langston (Andrews 74), Ada, Gwillim, Murray, Mitchell-King, Simpson, Knight-Percival (Barker 60), Reeves (Nightingale 89), Midson. Subs not used: Pope, Okay. Booked: Mitchell-King.
Att: 1,797
Ref: J Adcock (England).
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