The Gunners came from behind to seal a dramatic victory at Wembley which ended a nine-year trophy drought, and the Frenchman will be staying at the club to try and win even more
The Gunners went 2-0 down early on against Steve Bruce's men, but a spirited comeback was capped by an extra-time winner from Aaron Ramsey.
Despite previously insisting that the result would have no bearing on his future at the north London club, Wenger admitted after the victory that he would be remaining at the Emirates Stadium for the foreseeable future.
"I always said my future doesn't depend on this but I wanted to wait and see how it goes," the Frenchman told ITV when asked if he would stay at the club, before confirming: "Yes, I will."
He added: "We wanted to make history tonight and win the game and we made it in both ways, how not to start a cup final and how to come back.
"It's a turning point in the life of this team. They know they can win. in that way it's very important today.
"It would have been terrible, but we came back. I've praised the spirit of this team and I'm very proud of that today. Congratulations to Hull, they played very well."