Robert Lewandowski is joining Barcelona in a €50 million deal until 2027, the Spanish club said on Tuesday.
Barca released a statement confirming the move three days after both clubs announced that a deal "in principle" had been struck for the Polish striker to move to LaLiga.
"Barcelona and Bayern Munich have arrived at an agreement for the transfer of Robert Lewandowski for a total of €45 million + €5 million in variables," Barca said.
"The player will sign a contract with the Club for the next four seasons. The buyout clause has been set at €500 million," it added.
Lewandowski, 33, has linked up with his new teammates in the United States for a series of friendlies in Miami.
He is the Catalan side's fourth signing of the summer after Franck Kessie (AC Milan) and Andreas Christensen (Chelsea), arrived as free agents while Rapinha cost €70 million from Leeds.
The agreement between Barca and Bayern closed the standoff with the player who said at the end of May "it is certain that my story with Bayern has come to an end".
Bayern had only offered Lewandowski a one-year extension to his contract, which expires in the summer of 2023.
He was also unhappy with the salary offered and had clashed with the Bavarian club's coach Julian Nagelsmann over tactical choices.
He left Bayern after eight years with one Champions League and eight Bundesliga titles.