Nathaniel Knight-Percival scored twice to secure a convincing victory for Histon at The Lamb.
The winger put the visitors ahead when he collected Danny Wright's pass and struck a shot into the top corner.
But Tamworth drew level when Michael Wylde scored with a left-foot effort after good work by Alex Rodman.
Knight-Percival's header from six-yards restored Histon's lead and Josh Simpson made sure of the points with a neat finish from close range.
Tamworth: Alcock, Lyttle, Wylde (Andrew 75), Briscoe, Blackwood, Tait, Pritchard (Russell 46), Shaw, Rodman, Wright (Lake-Gaskin 53), Sheridan.
Subs Not Used: Mills, Koranteng.
Goals: Wylde 48.
Histon: Naisbitt, Pope, Langston, Bygrave, Gwillim, Barker (Long 62), Kennedy (Andrews 72), Okay (Crook 59), Knight-Percival, Simpson, Wright.
Subs Not Used: Welch, Oyebanjo.
Booked: Pope, Wright.
Goals: Knight-Percival 27, 77, Simpson 86.
Att: 1,090.
Ref: A Madley (W Yorkshire).
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