The Frenchman has been linked with a move away from the Spanish capital for well over 12 months, with a move to Manchester United highly anticipated last summer.
The 27-year-old announced his decision to stay at Los Rojiblancos via Spanish television outlet Movistar+ on Thursday evening.
He is now with the France squad, preparing for the World Cup, as Les Bleus kick off their campaign against Australia on June 16th.
France star Griezmann has always been linked with a move away from Atleti, with Barca holding talks with the 27-year-old's representatives in the latter stages of the 2017-18 season.
However, we're just relieved the whole thing is finally put to bed.
"You're fed up with all the talk, am I going?" 'We always come second or third.
Lionel Messi also voiced public support for the move, but the two-goal hero of Atleti's UEFA Europa League final win over Marseille insists he is going nowhere. I'm sure there are plenty of players at clubs below the elite that feel this way'.
Griezmann received boos on Atletico's final game of the season, despite leading the club to Europa League glory.
'Atletico are doing everything they can to keep the team growing; it's incredible, they're making a lot of efforts, I cannot stand it, I need to tell people that I want to stay.' Griezmann added.
Earlier this week, Atletico announced a deal in principle to sign Griezmann's France global teammate Thomas Lemar from Monaco for a reported €60 million transfer fee as part of an effort to persuade him to remain at the club.