Four days before facing Villarreal in Spain in the Champions League, in-form Bayern kept a clean sheet for the sixth straight match in all competitions as they moved to 12 points from five games.
Borussia Moenchengladbach moved into second place with a 1-0 win over Kaiserslautern, while champions Borussia Dortmund lost further ground after slumping to a 2-1 home defeat to promoted Hertha Berlin to stay on seven points in 10th place.
Bayer Leverkusen are in third place, also on 10 points, following their 4-1 win at Augsburg on Friday. Hoffenheim moved up to sixth after crushing hosts Mainz 05 4-0.
Werder Bremen, on nine, can join Bayern at the top if they beat Hamburg SV later on Saturday. Schalke 04, also on nine, travel to VfL Wolfsburg on Sunday.