Fury was floored twice in Los Angeles last weekend but seemed to have done enough to earn a famous win.
Promoter Frank Warren and the British Boxing Board of Control [BBBofC] had planned to issue a formal complaint about the scorecards after Mexican judge Alejandro Rochin scored the fight 115-111 for Wilder.
And the World Boxing Council released a statement on Friday where they called for a “direct rematch”.
It read: “The World Boxing Council conducted a voting through the board of governors, which resulted in a unanimous agreement to sanction a direct rematch between WBC heavyweight champion Deontay Wilder and Tyson Fury.
“Wilder and Fury gave boxing one of the best fights in the heavyweight division in a long time, which has created tremendous popular demand for the fans to see a rematch.
“The WBC is happy to confirm that a direct rematch has been approved and will create in a ruling which will also consider the mandatory status of the division.
“I wish to once again congratulate Deontay Wilder and Tyson Fury for their great battle inside the ring and for the exemplary sportsmanship after the bout.”
Watch Kell Brook vs Michael Zerafa in what could be his last fight in Sheffield, with Josh Kelly, Anthony Fowler and Jono Carroll on the undercard, live on Saturday, Sky Sports Action from 7pm, and Sky Sports Main Event from 8pm.