The German midfielder, 32, captained City to the Treble last season, playing a key role with 11 goals in 51 games.
He has signed a two-year deal at Barca after joining on a free transfer.
“Even though I’m older, I’m prepared for the challenge and I still have a lot to prove,” said Gundogan.
Gundogan was presented at Barcelona’s training facilities on Monday. He will now play under Xavi – who played under City boss Pep Guardiola at Barcelona from 2008-2012, winning a Spanish treble in 2009.
“The style is very similar to what I played at City,” Gundogan said.
“Guardiola and Xavi are very similar. I felt a connection with Xavi from the first moment we talked. When I spoke to him I knew they [Barcelona] were on the right track.
“It’s an incredible team and an opportunity to be able to play in a different league and in a different country.
“We will try to fight for the Champions League title. It is a responsibility to wear this shirt and I will try to give my best to win as many titles as possible.”
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