The German champions had picked up just one point from their last two games, but had no trouble in a dominant display ahead of their Champions League tie with Juventus.
A fiercely tactical battle at Signal Iduna Park could not produce a decisive breakthrough as Thomas Tuchel's men missed the chance to close the gap to two points.
Pep Guardiola's side went behind at Allianz Arena but fought back in the second half with two goals from the Germany international and a Robert Lewandowski strike sealing the win.
The Poland international once more demonstrated his class in front of goal to keep the Bavarians eight points clear at the top of the Bundesliga.
Pep Guardiola's men dominated huge periods of the game against Wolfsburg but his Bayern side were forced to be patient before eventually finding the net through Coman.
A terrific strike from the Armenia international has allowed BVB to keep the pressure on Bayern at the summit of the German top flight.
The Bundesliga champions secured a place in the next round of the competition, despite an unconvincing performance.
Leverkusen coach Roger Schmidt refused to be sent to the stands after he was sent off for protesting Pierre-Emerick Aubameyang's second-half winner over Leverkusen.
The Bavarians dropped points in the Bundesliga for the first time in four matches as they were held to a stalemate against Leverkusen after a disciplined display from the hosts.
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