The meeting was held in Munich, at the Allianz Arena stadium, and ended with a score of 3:1.
Serge Gnabry (15'), Robert Lewandowski (34') and Jamal Musiala (83') scored among the hosts.
Dortmund's only goal was scored by Emre Can in the 52nd minute from the penalty spot.
Thus, Bayern scored 75 points and became the champion of Germany three rounds before the end of the national championship.
For Munich, this is the tenth Bundesliga title in a row.
Borussia Dortmund are in second place with 63 points.
Earlier it was reported that Leipzig suffered the first defeat in the last ten matches in the Bundesliga.