The ban will take effect immediately, meaning they will miss the start of this season's Champions League. Flick was unhappy with several refereeing decisions during the match, which Barcelona lost 4-3 to Inter Milan in the semi-finals.
UEFA also took action against Barcelona players Lamine Yamal and Robert Lewandowski. They were each fined 5,000 euros for not following instructions from an anti-doping officer and for not reporting to a control post immediately after the game.
Barcelona was fined a total of 12,750 euros for various infractions during the match. The club was penalized for fans throwing objects and lighting fireworks, as well as for obstructing public passageways. Inter Milan was also fined for similar reasons.