In addition to last year's documentary and the player's subsequent reversal, the transfer saga has seen Atletico levy accusations of improper conduct at both Barcelona and Griezmann, claiming they had been in negotiations while Diego Simeone's side was still battling in the Champions League.
Griezmann has always been expected to join Barcelona since his impending departure from Atletico was announced in May.
Barcelona have signed French World Cup victor Antoine Griezmann from Atletico Madrid for 120 million euros ($135 million) on a five-year deal after paying his release clause, the La Liga champions said in a statement on Friday.
That said, Barcelona revealed the France superstar as one of their own after triggering his €120 million (R1.9 billion) release clause on Friday afternoon.
His Barcelona contract, which will be officially signed on Sunday ahead of his unveiling, contains a buyout clause of 800m euros (£733m).
Real Sociedad, Griezmann's former club, are in line to pocket €24m from the deal due to a 20% sell-on clause inserted when they sold him to Atletico in 2014.
"Antoine Griezmann, represented by his lawyer, has appeared at the headquarters of the Professional Football League to unilaterally terminate the contract that binds the player with Atlético de Madrid, having deposited on behalf of the player the amount of €120m from Fútbol Club Barcelona", read the statement.
Griezmann says "My father taught me as a child that trains do not pass only once". I'll defend the Barça shirt with pride and determination. Atleti claim that the negotiations and the agreement between the player and Barcelona were taking place when Griezmann's buyout clause was still set at €200m.
In saying that, Griezmann talked about how excited he was to start a new adventure.