The fight, which was confirmed immediately after Fury's points decision win over Francesco Pianeta in Belfast, will see the two unbeaten men contest the only major heavyweight title not now held by Anthony Joshua.
"One thing I promise, in Las Vegas, is that I am knocking you out", he said.
Joshua will fight Alexander Povetkin on September 22 at Wembley Stadium, and Wilder could be destined for a fight with Fury later this year.
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The 30-year-old then backed himself to come up trumps in America once again - five years ago he knocked out Steve Cunningham in NY - quoting Frank Sinatra in the process. I said send me the contract, they sent the contract.
Belfast's boxing fans are famous for winning over visiting fighters. Wilder formally announced that a fight against Fury is now official with a date and location to be revealed next week.
"I promised the wife and kids we're going to go on a gypsy holiday, so I'll get the trailer washed down tomorrow, put it on the road and away we go", he joked.
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Fury - who won his second fight after a 2 1/2-year absence due to personal issues with drugs and alcohol - looked far better against Pianeta than he did against Sefer Seferi in June. "I'd love to be a world champion again". "I think his style is tailor-made for mine with his big, awkward, wild swings and I believe that I'm a better boxer than him, technically".
He was rarely tested against the durable Pianeta and the combination of lapses in concentration with his lack of sharpness prevented Fury from excelling as he can, but he regardless was awarded the victor via a score of 100-90 on referee Steve Gray's scorecard.
Fury, who has dropped nearly nine stone after ballooning up to 27 stone in his time away from the ring, intends to lose even more weight ahead of his meeting with Wilder.
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Vincent Kompany and David Silva returned to the line up for the Citizens, while Gabriel Jesus joined Sergio Aguero in the attack. At half time Laurent Depoitre came on for Huddersfield as they switched up their formation to a 4-4-2.
"If I ain't good enough so be it, I'm taking this fight because I know I can win". This was a step up in opponent and a better display. This man (Pianeta) couldn't land a blow on me. I'm very happy with my performance. "It's no secret that I need the rounds".