United are ready to break the transfer record in consecutive summers and are prepared to pay around £100million to get Griezmann to Old Trafford.
But Antonio Conte, with Diego Costa set to leave, will also be in the running.
Antoine Griezmann is on Manchester United and Chelsea's radars
Antoine Griezmann has scored eight goals in La Liga this season
And now it has emerged, via Spanish publication okdiario.com, the France international has a £95m (€110m) release clause in his Atletico contract.
However the 25-year-old is also wanted by Real Madrid - meaning a bidding war could still go ahead between the three clubs.
Griezmann is the hottest property in Europe after starring for Diego Simeone’s side and for France at Euro 2016.
He was top scorer as France fell at the final hurdle and he has 14 goals this season.
Antoine Griezmann has a £95m release clause at Atletico Madrid
How Man United could look with Antoine Griezmann
Sun, October 16, 2016
Is this how Manchester United's squad could look with Antoine Griezmann
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Is this how Manchester United could look with Antoine Griezmann
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Griezmann made a point to the Spanish media after scoring at the weekend by shouting ‘this is my house’ referencing that he was happy at Atletico.
However his close bond with Simeone could mean he leaves the club in the summer.
Simeone is expected to end his spell at the Vicente Calderon and has hinted at a move to Inter Milan.
And if he does leave it is likely Griezmann would move on too.