The announcement ends another summer of speculation surrounding Greizmann, who was on the brink of joining Manchester United last summer before Atletico were hit with a transfer embargo.
However, the 27-year-old has now made a decision to extend his four-year stay with Europa League winners Atletico.
The forward communicated his decision two days after giving a press conference with France in which he revealed nothing and two days before Les Bleus' debut in the World Cup (against Australia on Saturday).
Griezmann scored 29 goals in all competitions for Atletico last season, helping them finishing second in La Liga and winning the Europa League. At Barcelona, I would just be one more.
"The decision I make is taken with 100 percent certainty, as I did at Real Sociedad or when I came here".
Coach Diego Simeone said he would bear no grudge with Griezmann if he left, although Atletico chief executive Miguel Angel Gil Marin offered him a thinly veiled message after his talismanic display against Marseille, saying.
"They think I have everything signed and it's not like that, maybe if we win I'll go with a title or maybe stay and go for the Champions League". "He has cooled me because it was very hot".
"However, in a sporting sense they say that at Barcelona they've not won the Champions League in three years and they want to win it with you and that you'll find it easier to win the Champions League with Barcelona than with Atletico".
The French attacker had been strongly linked with a move to Barcelona, but, after tediously dragging out his decision, he has chose to stay in the Spanish capital after all.
His "decision" behind him, Griezmann can now focus on the World Cup with France.