The Bavarians' 1-0 win over Eintracht Frankfurt on Saturday has handed them the 23rd championship in their history
The Bavarians have topped the table since matchday 1, and wrapped up the league crown earlier than any other team in history, beating their own record of matchday 30 by two matches.
Jupp Heynckes' side has set a host of other records en route to the title, including number of away wins, while with 75 points currently, it is on course to smash Dortmund's record total of 81 set last year.
"I'm extremely delighted of course. It's a very emotional moment," manager Jupp Heynckes told Sky.
"We have nine players in the squad who secured their first Bundesliga silverware. It was extremely difficult to perform today after the tough encounter against Juventus. But the players fought hard and were certainly a little bit lucky to have won the game at the end of the day."
Captain Philipp Lahm added: "We've been talking about the championship for a long time and we're very happy to have finally secured it.
"Of course we will open a few bottles of beer today, but we also have to set our sights on the next challenges. On Wednesday, we want to reach the next round of the Champions League."
Bayern needs just two wins from from its remaining five games to beat its own record tally of 25 victories in a season, and at +66, it is now beating the best-ever goal difference of +64, which it achieved in 1972-73.
Due to ongoing commitments in the Champions League and the DFB-Pokal, Bayern's management have delayed any celebrations until its final home game of the season, against Augsburg on May 11.