Forest Green beat Tamworth thanks to a fortuitous early own goal at The Lamb.
Rovers' James Norwood was not troubling Tamworth keeper Jonathan Hedge with the game's first shot but Paul Green's attempted block diverted the ball into the top corner.
Hedge had to prevent Rovers doubling their lead before half-time, catching Yan Klukowski's right-footed shot.
But Tamworth were out of luck, Kieron St Aimie's 35-yard piledriver smashing against the bar after the break.
Defender Richard Tait then had a chance to pull Marcus Law's side level right at the death, but his left-foot volley looped over the bar in the 87th minute to seal Tamworth's first home defeat this year.
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Forest Green Rovers manager Dave Hockaday told BBC Gloucestershire:
"We kept them at bay but we haven't kept the ball half as much as we wanted to.
"Having said that after the performance and the result on Saturday we'd have bitten your hand off for this result.
"To come here, win the game and keep a clean sheet obviously I'm delighted and very proud of the players."