The German leaders beat Werder Bremen 1-0 on Tuesday (16.06.20) after a first half goal from Robert Lewandowski - his 31st of the campaign - gave his team their 11th straight league win to leave them 10 points clear of second place Borussia Dortmund, who have three games remaining.
Manager Hansi Flick said: "It is sensational the kind of football we have played in the past few months.
"You could feel the passion, the joy for the game and the team spirit."
The boss won four Bundesliga titles with the club as a player and was made permanent manager in April after joining as an interim chief late last year.
Now, the team's attention turns to other competitions with the club still in both the German Cup and Chamions League.
He added: "We have now taken the first step and reached our big goal.
"But we also have the cup in our sights and then obviously the Champions League games are something you cannot plan for and we still need to survive the Chelsea game."
Flick's achievement means he has become the third person to win the league title for Bayern both as a player and a manager, after Franz Beckenbauer and Niko Kovac.
He won the Bundesliga as a player four times, in 1985-86, 1986-87, 1988-89 and 1989-90.