Prolific Bury striker Ryan Lowe scored one and created another as the Shakers ended Wycombe's unbeaten start to the season.
The Chairboys should have gone in front when Ben Strevens headed straight at Cameron Belford.
Bury made them pay when Mike Jones played a slick one-two with Lowe before firing home.
And Lowe sealed the win, poking home his fifth goal of the season from eight yards.
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Bury manager Richie Barker told BBC Radio Manchester:
"I think we can play better than we did today, but I think that's a positive.
"If we can come to an away game and win 2-0, to a team that who haven't been beaten yet, and we can still play better, than we can go a long way.
"His (Andy Bishop) defensive work today was excellent and the reason he stayed on was to head the corners, and he's done a job for the team."