Varane made his professional debut for Lens at 17 before moving to Real Madrid. He has won 18 major trophies at club level, including three LaLiga titles, one Copa Del Rey, four Champions Leagues, and four Club World Cups.
At just 24 he won the Champions League title for the third time, becoming the youngest player to achieve the feat.
He made his international debut at 19 and played every minute of every game at the 2018 World Cup en route to France's victory.
Following the announcement, Varane, who joins Neymar amongst their world-class athletes said: "PUMA felt like a natural fit for me and I am thrilled to join the home to some of the greatest players in football history.
"I feel we share many common values, in particular PUMA's outlook on sustainability, which opens up the possibilities of working together in areas beyond just football."