The Serie A champions parted with €13 million (£11.2m) to sign the Italy international from local rivals Torino, with Ogbonna penning a five-year deal at the Juventus Stadium.
The Old Lady secured their second straight league title last season, meaning they will once more feature in the Champions League - something Ogbonna labelled crucial in his decision to join the club.
"Playing in the Champions League is the ambition of every youngster. I hope I'll be able to have the opportunity," he told reporters.
"There are great teams in the Champions League and we'll work hard to prepare ourselves for that particular challenge."
The 25-year-old revealed his move was motivated by ambitions of improving his career both domestically and on the international stage, and said he has been well received by the supporters.
"Moving here fits in perfectly with my ambitions," he continued. "The only team who really wanted me was Juventus, no one else.
"I've joined a great team comprised of many champions. I'll look to do my best and find a place in the side.
"Playing alongside my new team-mates could also help me as far as my progress with the national team is concerned."