Dortmund had opened their campaign in style last week but the defeat is a blow to their hopes of defending the title.
Bayern scored a late winner to beat Wolfsburg after losing at home to Borussia Moenchengladbach last weekend.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.