Griezmann - brought up in Macon, just 70 kilometres from Lyon - scored once in each half, his lethal finishes coming either side of Marseille losing Dimitri Payet to injury, the French team's captain coming off in tears.
But Atletico were hit with a transfer ban and the former Real Sociedad ace revealed he could not leave without a replacement lined up.
"It's hard to explain how happy I feel after so much time, it was a dream I've always had since I was a child", Torres told reporters.
"Of course, winning this title can help, more so because of how we have done it".
And this fan urged: "Jose, if you'd like, you can sign that man #Griezmann".
"It was a dream of mine to win a trophy with Atleti, with Simeone and with my team mates", Griezmann added.More news: Top WWE star apparently injured during dark match after Smackdown Live
Payet had made a strong bid for a recall to the worldwide stage with an impressive run of form, which included inspiring Marseille to the Europa League final, but his injury may have ended his chances of playing in the tournament.
If this is to be Griezmann's final big game for Atletico, then the France worldwide delivered in a huge way - making a case that he could well be the world's third-best individual player.
"I insist, it is not the moment to talk about my future", he said. "I am among the best three players in the world because of him".
"When I left home at 14 years of age it was to win trophies, to enjoy nights like this", Griezmann said on beIN SPORTS on the final whistle.
Diego Simeone credited the excellent bond of his players as the key to success saying "We're very happy".
Griezmann would get his second of the game on 49 minutes with of a wonderful dinked finish after latching onto a perfectly weighted through-ball from the ever-impressive Koke. "I'm going to be grateful to this team always".
The French fans filling the stadium in Lyon, inspired Marseille at the active beginning of a match, but it was atlético to organise the first serious RAID into the opponents ' half as Griezmann fell out with Mandanda and easily beat the old-timer athletes.