Griezmann has long been a target for Barcelona, but the 27-year-old announced his decision to stay at Atletico during an hour-long documentary broadcast on Spanish TV station Movistar.
According to Sky Sports News, Griezmann was offered £17.5m to stay and the promise of a £100m improvement of the squad in order to compete for next season's top titles.
Griezmann, currently with the France squad at the 2018 World Cup, has now demonstrated his commitment to Atletico by adding another year to his contract after meeting with the club's chief executive, Miguel Angel Gil Marin, in Russia.
Great news from Russia. @AntoGriezmann has signed his renvovation until 2023, @LucasHernandez until 2024 and Lemar has signed his contract #AúpaAtleti https://t.co/bTPkTFdhIb pic.twitter.com/s0EFsVbX9O— Atlético de Madrid (@atletienglish) June 18, 2018
Fellow France international Hernandez also penned a new deal at the Spanish club until 2024 following the meeting, while Lemar, another member of Les Bleus, has "signed his contract", though the 22-year-old's move is subject to passing a medical and finalising terms with Monaco.