The deal, which is understood to cover Fury’s next five fights, will see him broadcast on ESPN in the US while remaining on BT Sport in the UK.
Fury believes the deal makes a rematch with Deontay Wilder “more makeable”.
Fury’s December draw with WBC world heavyweight champion Wilder aired on BT Sport in the UK as well as Showtime – who broadcast Wilder’s fights – in the US.
Now Fury has his own US broadcaster, agreements will have to be reached between ESPN and Showtime over the airing of his fights in America.
Joshua meanwhile is signed to the DAZN streaming service in America.
Fury’s promoter pointed to the size of ESPN’s subscription base and said Fury was now on “a bigger platform”.
Asked about negotiations for bouts with the division’s biggest names, Warren said: “They will now have to come to us.
“This ESPN situation for him is probably one of the biggest things to happen to a British sportsman. It’s something special.”
More to follow.