Fury shocked the boxing world by beating Wladimir Klitschko on Saturday
To secure the WBA, IBF and WBO belts.
But Fury has not forgiven Haye for pulling out of two scheduled fights against him in 2013 and causing him "mental and physical torture".
"David Haye will never get a fight against Tyson Fury after what he did to me," said the Manchester boxer.
"I remember him saying that he'd never give me a payday. Well, the shoe is on the other foot now.
"If he gets a mandatory shot with any of the governing bodies, I'll vacate the title. Let him go and fight Fred Flintstone or Joe Bloggs and make no money.
"I don't care if he says I can make £10m by fighting him, it's not about money for me.
"I knew how much boxers got messed about at the highest level. But there were times [when Haye pulled out of the fights] that I didn't want to box any more.
"He is a pretender, a fraud and he is getting no opportunities from us."
Credits: BBC