The Italy player had reportedly been linked to a reunion with ex-Juve manager Antonio Conte at Chelsea.
The 29-year-old joined the Serie A champions from Bari in 2010 and has since made 291 appearances.
In that time he has won five consecutive league titles, two Italian cups and reached the Champions League final in 2015.
Juventus defender Leonardo Bonucci has signed a contract extension that will keep him at the club until 2021.