A five-year deal has been signed by Ryan Gravenberch, a Dutch player.
One of Europe's most coveted young players has been signed by Bayern for 18.6m.
The 20-year-old has helped the Dutch champion to win three league titles.
Gravenberch said that he didn't have to think about the offer for a long time.
He had been linked with a move to Manchester United, but he says he has a good feeling about his new employer.
"Manchester United is a very large and beautiful club," said Gravenberch. I already had a good feeling about the place.
"Gravenberch is a highly interesting player who lots of Europe's top clubs would've liked to have signed, and he is one of the biggest talents in Europe".