The 26-year-old Holland international will stay at Parkhead on loan until the end of the season.
Braafheid joined Bayern Munich in the summer from FC Twente, but has failed to make an impact in the Bundesliga.
Bayern Munich captain Mark Van Bommel told Bayern’s official website: “He’s been unlucky. When he played, the team as a whole wasn’t playing well.
“You can’t play to your potential in those circumstances. He’s not been able to show what he can do.”
