Robert Lewandowski claimed his 14th Bundesliga goal of the season on Saturday as Bayern Munich went eight points clear with a 4-0 win over VfB Stuttgart.

Bayern's star-studded attack ran riot at the Allianz Arena with Arjen Robben, Douglas Costa and Thomas Mueller also getting on the scoresheet as defeat pushed Stuttgart back into the bottom three.

Pep Guardiola's Bayern picked up where it left off on Wednesday in the 5-1 rout of Arsenal in the Champions League.

"It's so difficult to play every three days and show this sort of mentality," said Guardiola, with Bayern targeting a repeat of its 2013 treble of the Champions League, Bundesliga and German Cup.

"I hope they keep this aggression up until the winter break (in December) and then until the end of the season, because if we don't win the treble, it will have been a bad season."

The Bavarian giant has now claimed 34 points from 36 and is the only unbeaten team in Germany's top flight.

It took the lead just 11 minutes in after creating a five-on-one attacking opportunity.

Although Robben netted the goal, he had Arturo Vidal, Lewandowski and Mueller lining up to score behind him.

Costa then doubled the tally with a long-range strike on 18 minutes.

Poland's Lewandowski made it 3-0 on 37 minutes by volleying home Mueller's cross, which made him the league's top scorer, then the Germany forward grabbed the fourth with a header on 40 minutes.

Bayern has turned the Allianz Arena into a fortress by scoring 28 goals in its past six home games while conceding just three.

Third-placed Wolfsburg is now 13 points adrift of Bayern after crashing to a 2-0 defeat at Mainz as Pablo de Blasis and Yunus Mali scored.

Wolfsburg was reduced to 10 men when Germany midfielder Julian Draxler was sent off inside the opening 15 minutes for kung-fu kicking Chile defender Gonzalo Jara while competing for the ball.

It capped a bad week for Wolves, who were usurped by Man United at the top of their Champions League group following a 2-0 defeat at Eindhoven