It's believed the 28-year-old has agreed a five-year deal at the Italian club, worth a reported £140,000-a-week.
The Welshman has spent the last decade at Arsenal, however, discussions over a new deal broke down earlier this season and, with his contract expiring this summer, he has reached an agreement for a move to Turin.
An offer from Paris St-Germain is thought to carry great appeal, while there is also interest from Real Madrid, Bayern Munich and Inter Milan.
It will however make him Juventus's second-highest earner behind Cristiano Ronaldo, but ahead Paulo Dybala and Douglas Costa.
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"In the last match I was very happy with him".
'At the moment he's an Arsenal player, certainly we aren't the only ones following him'. He asked in Blackpool to play, he said: "Coach, I want to play". I want his focus to be on us, and to be on West Ham on Saturday.
Club officials reportedly regretted the £350,000 a week deal given to Mesut Ozil and were determined to avoid a repeat, even if it meant losing a player of Ramsey's ability.
Arsenal fans just hope he doesn't end up joining a Premier League rival, because according to BBC Sport's David Ornstein, the Wales worldwide has a preference if he were to stay in England.