Robert Lewandowski scored an incredible five goals in nine second-half minutes to propel Bayern Munich to a sensational 5-1 victory over Bundesliga title rivals Wolfsburg at the Allianz Arena.

Daniel Caligiuri gave the visitors the lead, but that was wiped out in stunning fashion by the Polish striker, who took matters into his own hands after coming on at half-time, beginning his scoring spree in the 51st minute.

Lewandoswki levelled the score with a toe poke from six yards in the 51st minute, and Bayern took the lead on his blast from 20 yards a minute later.

He had to work harder for his third goal in the 55th minute, first hitting the post and seeing his follow-up saved before finally finding the back of the net.

The fourth came in the 57th minute, when he scored from a cross on a high bounce. But he saved the best for last in the 60th minute, volleying Mario Gotze's cross with a scissor kick to send the crowd further into raptures as Bayern claimed their sixth win from as many matches to go three points clear at the top of the table.

Sandro Wagner came back to haunt his former club with two goals for Darmstadt in a 2-1 win over Werder Bremen.

Aron Johannsson put Bremen in front against the run of play before Darmstadt forward Wagner ended a 24-game drought by levelling from the penalty spot.

He then scored his second of the night to earn Darmstadt their first home win in the Bundesliga since 1982, to lift them into mid-table with nine points and just one defeat in their first six games back in the top flight.

Bremen ended the game with 10 men after Fin Bartels was given his marching orders late on.

Michael Gregoritsch grabbed a late winner for Hamburg to leave Ingolstadt still waiting for their first home win of the season after going down 1-0 at the Audi Sportpark.

Ingolstadt set a Bundesliga record for winning their first three away games in the top flight at the weekend, but their home form has been quite the opposite with Hamburg taking advantage on Tuesday night.

Ingolstadt had looked strong with Mathew Leckie menacing, but it was Hamburg who struck after Johan Djourou saw a goal ruled out.

Gregoritsch's goal came in the 87th minute and lifted Hamburg above Ingolstadt in the standings on goal difference.

Vedad Ibisevic struck twice as Hertha Berlin moved up to fifth with a 2-0 win over Cologne.

The former Stuttgart striker ended a 25-game wait for a goal to put the Old Lady in front just before half-time, adding his second deep into stoppage time as Hertha traded places with their guests in the standings.

Hertha could have had more, too, and they were unfortunate not to get a penalty early on when Salomon Kalou appeared to be fouled inside the penalty area, but Ibisevic did enough damage for Pal Dardai's men.

Polish striker Robert Lewandowski celebrate with the Bayern Munich maskot "Baerli" after the German first division Bundesliga football match against Wolfsburg. Photo: AFP