Bayern saw off the challenge of Borussia Dortmund to clinch the league title on the final day.
Leipzig, meanwhile, finished 12 points behind Bayern in third.
The two German big guns are now set to meet in the 76th edition of the DFB cup.
Leipzig beat Hamburg in the semi-finals while Bayern edged past Werder Bremen to set up the final.
18-time winners Bayern were beaten by Eintracht Frankfurt in the final last season while their opponents this weekend are looking for their first cup crown.