Robert Lewandowski netted twice as Bayern Munich retained the German Super Cup with a 3-1 win at Borussia Dortmund on Tuesday in a high-tempo encounter.

Lewandowski put Bayern ahead with a bullet header at Signal Iduna Park before Thomas Mueller doubled the visitors' lead to make it 2-0 just after the break.

Dortmund captain Marco Reus pulled a goal back when he curled a superb shot inside the post before Lewandowski settled the match.

The 32-year-old Polish striker has now scored 24 goals in many games against Dortmund, where he spent four years from 2010-2014.

"This means a lot to me. We've won our next title and for the spectators it must have been a really cool game to watch," Lewandowski told Sky Sports. "It's something really great for the team which we can enjoy."

Bayern have now won all of their last six matches against Dortmund.

New coach Julian Nagelsmann has earned a trophy, which Bayern also won last year against Dortmund in Munich, with his first win in charge.

"We were better than in Gladbach and this is an important win for the lads," said Nagelsmann, who hailed Lewandowski's "exceptional" performance.