With home advantage, coach Vincent Kompany's team completely controlled the game, held 74% of the ball and created 11 shots in the first half.
Continuous pressure helped Bayern open the scoring in the 22nd minute, when Joshua Kimmich hung the ball accurately for Harry Kane to jump high to head past goalkeeper created created Kobel.
In the second half, Dortmund rushed forward to find an equalizer but could not take advantage of the opportunity. In the 78th minute, the away team conceded the second goal after Jobe Bellingham's own goal while trying to block Michael Olise's shot. Dortmund's efforts only helped them score an honorary goal in the 85th minute thanks to Julian Brandt's shot.
With a 2-1 victory, Bayern Munich consolidated their top spot with 21 points after 7 rounds, 5 points more than the team behind RB Leipzig. Meanwhile, Dortmund have dropped to 4th place with 14 points, continuing to face difficulties in the championship race.
Harry Kane has now scored 22 goals for Bayern and England in just 11 games since the start of the season, continuing to prove his top form as one of the best strikers in Europe today.