It was nevertheless an entertaining encounter at the Dreisamstadion, with both sides creating chances but neither could make the breakthrough.
The point was sufficient for Leverkusen to return to second, but Bayern can now extend their advantage at the top to 11 points when they face Stuttgart tomorrow.
Eintracht Frankfurt strengthened their grip on fourth place with a 2-1 win over Hoffenheim, who slip into the bottom two.
Frankfurt completed the double over their visitors thanks to goals from Martin Lanig and Stefan Aigner with Kevin Volland bringing Hoffenheim level in between.
Borussia Monchengladbach picked up their first three points of 2013 with a 2-1 victory against Fortuna Dusseldorf.
An own goal from Juanan and a Patrick Herrmann strike gave the Foals a two-goal lead at half-time.
A penalty from Dani Schahin gave Fortuna hope early in the second half but they were unable to find an equaliser.
Mainz further reduced Greuther Furth's dwindling hopes of playing a second season in the Bundesliga with a convincing 3-0 win at the Furth Arena.
Two goals from Adam Szalai and a Yunus Malli strike earned Thomas Tuchel's side all three points as Furth - winless at home this season - fell apart in the second half.
First-half goals from Mohammed Abdellaoue and Mame Diouf proved decisive at the Niedersachsenstadion as 10-man Hannover held on for three points with a 2-1 win over Wolfsburg.
Hannover had new signing Sebastien Pocognoli sent off in the 34th minute and were on the ropes after Alexander Madlung halved the deficit for the visitors, but the Reds held on for the win.
The match between Augsburg and Schalke finished goalless.