- 1,612
- 9
- 38
Thomas Tuchel's side controlled the first half and led just after the half-hour mark when Jamal Musiala headed in Thomas Muller's inviting cross.
Kane then bent in a brilliant second - but that was quickly cancelled out by Maximilian Arnold's long-range strike in first-half stoppage time.
Bayern struggled to find their rhythm in the second period but Wolfsburg posed little attacking threat, with the champions able to keep their hosts at bay and ensure they head into Christmas on the back of a three-game winning run.
Muller's start against Wolfsburg was just his sixth in the Bundesliga this season but, days after signing a new deal in Munich, the 34-year-old was at the heart of everything in the first half - good and bad.
His first moment of note came after excellent work from Leroy Sane, who presented Muller with an open goal - only to see his team-mate allow the ball to bounce away off his knee and then miss the rebound.