The previous bout between the undefeated pair in Los Angeles late last year ended in a controversial draw.
It was Briton Fury’s third fight of the year following more than two years away from boxing after his world title victory over Wladimir Klitschko in November 2015.
“The Wilder rematch has been confirmed and signed,” said Fury, who was speaking at the Alhambra Theatre in Bradford, UK, Sunday.
“This time I haven’t been out the ring for a year. This time, I haven’t been abusing too much alcohol, and this time I’m going to knock him the f*** out.”
He went into last December’s fight against Wilder, the WBC heavyweight champion, as an underdog, but was left feeling aggrieved not to have won despite being knocked down twice in the ninth and 12th rounds.
CNN has contacted Wilder’s representatives about the rematch but is yet to receive a response.
That loss heavily dented Joshua’s reputation, a previously undefeated fighter who was expected to face either Wilder or Fury — the best fighters in the heavyweight division.
Wilder, who beat Dominic Breazeale in New York in May, will next face Cuba’s Luiz Ortiz in a rematch of their 2018 fight.