Former light heavyweight champion Jones, making his return to the Octagon after more than a three-year absence, forced Gane into a submission after just 2min 4sec of the opening round to seal the win.
The American, who is widely considered to be the greatest mixed martial artist of all time, used all his skill and experience to outfox his French opponent.
Jones had talked boldly before the fight of scoring a quick victory against Gane, who hinted at nervousness in the opening seconds by aiming kick at the American's groin which required an official timeout.
Jones meanwhile proved to be as good as his word, easily ducking under a wild left hand from Gane and wrestling the off-balance Frenchman to the floor with ease.
He quickly had Gane in trouble and the Parisian submitted after being trapped in a guillotine chokehold by Jones.
"I've been working for this for a long time," a delighted Jones said after his victory.
"You know a lot of people thought I was never coming back. I'd read that all the time 'This dude's never coming back' – but I've been faithful to my goal, faithful to my mission."
Jones said while he was wary of Gane's prowess on his feet -- the Frenchman is a former kick-boxing champion -- he had always been confident of winning if the bout ended up on the canvas.
"I really had the strong conviction that if I could get him down to the ground the fight would be in my area," Jones said.
"I've been wrestling since I was 12 years old and I feel stronger and more comfortable, especially on the ground.
"With kickboxers you never know -– he zigs, I zag. And I actually felt a little goofy on my feet -– it's been a while.
"But once I got my hands on him I knew that’s where I was most comfortable and I could take control."