The Germany international, who scored in Bayern's 1-0 win over FC Zurich on Tuesday, opened the scoring from the penalty spot in the 37th minute before adding a second goal early in the second half.

He finished off the Red Devils in the 69th minute to take Bayern to the summit for the first time since May 2010.

Ivo Ilicevic was sent off for Kaiserslautern in the last minute to compound their woes.

Werder Bremen also have nine points but trail Bayern on goal difference.

Thomas Schaaf's side's fine start continued on Saturday with a 2-1 victory at Hoffenheim which came courtesy of a late Markus Rosenberg goal.

Roberto Firmino gave Hoffenheim the lead after 37 minutes before Marko Arnautovic equalised a minute later and Rosenberg scored the winner seven minutes from time.

Bayer Leverkusen and Borussia Dortmund finished with 10 men apiece as they shared the spoils in a lively 0-0 draw at the BayArena - a result which leaves both sides two points behind the leaders.

Michal Kadlec was first to see red in the 64th minute and he was followed into the dressing room by Mario Gotze 13 minutes later, but neither side could score in a keenly-fought encounter.

Leverkusen had on-loan goalkeeper Bernd Leno to thank for some excellent saves in the second half after the hosts had held the upper hand in the first 45 minutes.

Borussia Monchengladbach and Hannover have the chance to go a point clear at the top on Sunday.

Monchengladbach face a tricky trip to Schalke while Hannover host Mainz.

The pressure mounted further on Hamburg coach Michael Oenning after his side went down 4-3 at home to Cologne.

Mladen Petric put Hamburg ahead from a penalty after 11 minutes but Cologne took the lead through Adil Chihi (21) and Milivoje Novakovic (49).

The game continued to swing to and fro as Hamburg restored their advantage with goals from debutant Slobodan Rajkovic (59) and Son Heung-min (62), but Christian Clemens (84) and Kevin McKenna (88) secured

Cologne's first win of the season.

Freiburg collected their first victory of the season, a 3-0 win over Wolfsburg.

Oliver Barth opened the scoring for Freiburg after 30 minutes and it was 2-0 when Erik Jendrisek netted 10 minutes later.

Cedrick Makiadi extended the advantage to 3-0 after 59 minutes.

Nurnberg collected their first home victory since March 2011 as Alexander Esswein's second-half goal saw them overcome local rivals Augsburg.

Substitute Esswein scored the only goal of the contest in the 76th minute to give Nurnberg their second win of the season and leave promoted Augsburg with just two points.

On Friday, Raffael scored the only goal of the game four minutes from time as Hertha Berlin recorded their first Bundesliga win at home for two years with victory over Stuttgart.

Since they beat Hannover in August 2009, they have failed to pick up three top-flight points on home soil owing to a dismal slump and a subsequent season in the second tier.

But Markus Babbel guided them home to a 1-0 success against his former club, with Raffael leaving it late to do the damage.