Broja's departure from Chelsea comes after he had disappointing loan spells with Fulham and Everton, leading the club to decide he was no longer needed.
Despite this, Burnley saw an opportunity and signed Broja for a reported £20 million fee.
The transfer is a five-year deal, keeping Broja at Burnley until the summer of 2030.
In a statement to the club's media team, Broja expressed his excitement about joining Burnley, saying he's looking forward to the new season and is eager to start playing for the team.
He also mentioned feeling supported by the Burnley fans and is committed to giving his best effort every time he wears the team's Claret shirt.