The 33-year-old left-back moved from Manchester United to the Bianconeri on a two-year deal for an undisclosed fee thought to be in the region of £1.5millon.
He is looking forward to the challenge ahead as Juve try to win the Serie A title for a fourth successive year.
Evra, who will be officially unveiled as new Juventus player on Thursday, told the club's official tv channel: "The sensation here at Juve is incredible.
"I start a new adventure. I come from a club like Manchester, where I won everything and now I'm here with the Bianconeri where I have done nothing yet.
"I am someone who likes to win, I chose a team like Juve to win and I will do my best to give all that I can for the club, for the fans, for the coach and for my team-mates."
France international Evra was signed by Sir Alex Ferguson at Manchester United in 2006 and went on to enjoy an illustrious eight-year career at Old Trafford, winning the Champions League in 2008, five Premier League titles, three League Cups and a Club World Cup.
He made a total of 379 appearances for United, scoring 10 goals, but was given permission to leave following the signing of England international Luke Shaw from Southampton.