Iran Press/ Europe: Kompany, 38, has signed a three-year deal through to 30 June 2027, after two seasons in England during which he took Burnley up to the Premier League and back down again to the Championship.
The former Belgium international defender is a German speaker following a two-year playing stint in the Bundesliga with Hamburg between 2006 and 2008.
He replaces Tuchel, who agreed in February to leave the club by mutual consent at the end of the 2023/24 campaign.
"I'm looking forward to the challenge," Kompany said. "It's a great honour to be able to work for this club - FC Bayern is an institution in world football.
"As a coach, you have to stand for what you are as a personality: I love having the ball, being creative - and we also have to be aggressive on the pitch and courageous. I'm now looking forward to the basics: working with the players, building a team. When the foundation is in place, success will follow."
As well as managing in England, Kompany spent time in charge of Anderlecht, initially returning to his boyhood club in a player-coach role. He oversaw fourth- and third-placed Jupiler Pro League finishes, before winning the 2022/23 English Championship title in his maiden season in charge of Burnley.
As a player, the Belgian enjoyed 11 years at Manchester City, winning 10 major honours, including four Premier League titles. He previously won two Jupiler League crowns with Anderlecht, as well as the now defunct UEFA Intertoto Cup in Hamburg colours. Bayern's new boss also helped Belgium finish third at the 2018 FIFA World Cup.
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