Judge Robert Tapper scored the fight 114-110 for Fury, while Alejandro Rochin favoured Wilder 115-111.
The hard-hitting Wilder knocked Fury down twice in the 9th and 12th rounds but the Briton controlled much of the fight behind his long jab, precise footwork and stout defence.
Wilder (40-0, 39 KOs) is coming off a victory this past March over Luis Ortiz in which he had his loyal fanbase a bit anxious.
Fury (27-0-1, 19 KOs) was coming off a pair of decision wins this summer following a hiatus of two and a half years, during which he vacated the WBO and WBA belts he claimed in a November 2015 decision victory over then unified world champion Wladmir Klitschko.
Box Office Report: Close to 100 cr in worldwide gross
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"I'm what you call a professional athlete, who loves to box", Fury told BT Sport Box Office. "I came out slow".
By the fourth round, Wilder began to detonate his feared right hand, to limited success, with Fury dipping just slightly out of range every time the American loaded up.
Tyson Fury has targeted a rematch with Deontay Wilder at Old Trafford.
"We're the two best in the world and we proved it. Can't wait to see the rematch", Pacquaio wrote.
"We're both warriors, but with those two drops, I think I won the fight", Wilder said.
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But with United struggling to compete in the Premier League and so much uncertainty over Mourinho's future, De Gea is prepared to bide his time and see what develops.
Fury struggled to generate consistent offense until a strong sixth round, likely costing himself early rounds.
Classy combinations drew cheers from his supporters as Wilder failed to rise to the occasion, often missing the target horribly as he tried to land a big punch. The Englishman made Wilder miss constantly, particularly ducking under Wilder's big right hand with grace. At the end of the round, and following Wilder's usual late flurry, the two became entangled, Fury taking the chance to mock his man with severely unusual tongue movements.
The fight attracted the celebrity attention expected in Hollywood from actors and athletes alike. And it was the third one who got it right.
Cuba's Luis Ortiz knocked down Travis Kauffman three times before stopping him late in the 10th round, and British heavyweight Joe Joyce improved to 7-0 with a first-round stoppage of Joe Hanks.
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