As reported on the club's official website, the team will have the opportunity to buy out the Russian's contract at the end of the lease term.
The media reported that Miranchuk's salary at Torino would be €1.5 million.
The 26-year-old sportsman was on the list of players with whom the club from Bergamo intends to leave this summer.
The former Lokomotiv Moscow footballer moved to Atalanta in September 2020.
Last season he made 25 appearances for the team, scoring two goals and providing five assists.
Earlier, Vadim Shpinyov, Miranchuk's agent, said that his client had moved to Torino.