Fury brutally stopped Wilder in the 11th round to defend his WBC world heavyweight title.
The 'Gypsy King' survived a huge scare in the fourth round as he was dropped twice by 'The Bronze Bomber'.
Though the undefeated Brit fought off the American's onslaught, eventually earning the victory in the penultimate round of their Las Vegas showdown.
And after the bout, Fury approached Wilder to pay his respects - but the 35-year-old turned down his rival's advances.
The 33-year-old called Wilder a 'sore loser', with footage of their unpleasant exchange surfacing online.
Speaking after battering Wilder, Fury said: "He improved, he worked on his boxing and stuff. It was a different fight.
"It was a much different fight than Fight 2, and a much different fight from Fight 1.
"He came in real heavy tonight, 238 pounds, and I believe that helped him and he was definitely hitting solid."
"He said, I don't want to show any sportsmanship or respect. I said no problem."@Tyson_Fury on what was said between him and Deontay Wilder after the fight! :flushed:#FuryWilder3 pic.twitter.com/OtUS1oGrep- Boxing on BT Sport (@BTSportBoxing) October 10, 2021
He added: "But you know what, I thought that we fought it all out there and all allegations that were made towards me throughout the build-up of this fight, we fought like two warriors in there and I went over to shake his hand and say, 'Well done,' and he was like, 'No, I don't respect you.'
"I was like, how can you say I cheated when you know in your own heart and your full team knows that you just got beat fair and square.
"It's just a sore loser in boxing, I'm sure he's not the first one and he won't be the last one, but I've acted like a gentleman throughout my career and that's all I can do as a man."
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