The Shakers were on top in the first half and, although Wycombe finished strongly, the top two were content to keep their unbeaten records intact.
Cheered on by a bumper home crowd, Bury made a lively start which saw Stephen Dawson's ambitious effort tipped over by Scott Shearer in the ninth minute.
The resulting corner was cleared as far as Brian Barry-Murphy, whose fizzing half-volley was deflected wide for another corner.
Ben Futcher then almost bundled the ball home after David Buchanan picked out Barry-Murphy behind the Wycombe defence, but a free-kick was given against the Bury defender.
Wycombe gradually gained a foothold in the game and Chris Zebroski headed narrowly wide from a Gavin Grant cross just after the half-hour mark.
Bury replied with Dawson sending a 25-yard strike inches wide after pouncing on a loose ball in midfield.
Andy Bishop curled a right-footed effort wide shortly after the restart as Bury remained on top.
Bishop then flicked on for strike partner Andy Morrell to loft the ball narrowly over, while Mike Jones and Elliott Bennett fired wide.
Zebroski tested Bury's Wayne Brown from outside the box on the hour-mark and Wycombe thought they had broken the deadlock three minutes later.
John Mousinho's corner was headed goalwards by David McCracken and Brown pulled off a fine reflex save with the visitors claiming the ball had crossed the line.
Brown denied McCracken again with 10 minutes left from a snapshot just inside the Bury box.
But Bury might have snatched all three points when Shearer denied Paul Scott from a corner at the death.