Bayern Munich sit eight points clear on top of the Bundesliga table.
Bayer Leverkusen had 15 shots to Bayern Munich's two, but could not find a goal.
Bayer Leverkusen sit eight points behind Bundesliga table toppers Bayern Munich, ahead of their encounter.
Despite the defeat, Bayern are still four points ahead of second-placed Bayer Leverkusen.
Leipzig's 2-1 loss at Dortmund last week, their first in the league this season, has given Vincent Kompany's Bayern the chance to grow their lead at the top of the table.
The international break seems to have come at just the right time for Bayern Munich, allowing the 2020 treble winners a chance to regroup under head coach Vincent Kompany.
Bayern Munich had not lost a Champions League group game since 2017 until a 1-0 defeat to Aston Villa on Wednesday night.
Bayern remain top of the Bundesliga table, two points ahead of RB Leipzig and three ahead of Leverkusen.
Bayern Munich come into the season on the back of a first trophyless campaign in 11 years.
Leverkusen have not lost a match in Germany in May 2023.