Matuidi penned a three-year deal with the Serie A champions after leaving PSG, who could receive a further €10.5m in add-ons.
"I'm delighted, I feel really proud to be able to wear this shirt," Matuidi said in his first Juventus interview. "I'm honoured to wear the Juventus shirt. I can't wait to meet my new team-mates and get onto the field and start the season with my new team.
"Juventus have won Serie A for many years in a row and they're always aiming high in Europe too. We share the same level of ambition. This is a very massive club and as I've said this is an honour.
"I can't wait to do my bit to help the team keep winning and adding to the trophies they already have. As a lover of football, I know all the great players that have made history at Juventus such as Zidane, Platini and Deschamps.
"It's a pleasure to be able to say I'm part of this family. I hope to be able to give my all to help the team as soon as possible."