The Chilean goalkeeper, who agreed a move to the Camp Nou from Real Sociedad during the World Cup, has signed a four-year deal with the Catalan outfit.
"I thank Barca for believing in me. I'm proud, this is a wonderful chance I'm getting. I'm very motivated to defend Barca's colours," the 31-year-old told reporters at a press conference.
"Alexis [Sanchez] has talked a lot about Barca and he told me it's fantastic and that I should enjoy every moment here in every possible way.
"I think I'll feel comfortable with Barca's style. At national team, we play a similar system. Before being a goalkeeper, I was also a centre-back."
Bravo, who will wear the number 13 shirt for his new club, will battle Marc-Andre ter Stegen for the number one position next season.