However, while most considered Fury ahead going into the later rounds, a ninth round knockdown from Wilder tightened things up as they headed to the championship rounds.
"We're on away soil, I got knocked down twice, but I still believe I won that fight", said England's Fury, whose incredible comeback continues following a two and a half-year absence from the sport.?
Judge Robert Tapper scored the fight 114-112 for Fury, while Alejandro Rochin favored Wilder 115-111.
Tyson Fury taunts Deontay Wilder during their heavyweight title bout which ended in a draw.
Both men weren't overly upset by the verdict after a compelling bout in front of a frenzied Hollywood crowd.
A hard right and a left hook from Wilder sent Fury to the canvas and he looked to be out, but he managed to get up, Undertaker style, and pop up to his feet before the 10-count to continue the fight.
"I felt it was close but that the two knockdowns put me over the top", said the American, 33", he said.
"I'm not going to sit here and complain, and scream robbery or whatever", Fury said. Although he didn't land it with full force, he dropped Fury, who did not seem badly hurt.
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The champion began to fall short with jabs, and watched Fury comfortably take a left uppercut as he pursued the knockout while his left eye began to swell. From our side we want that undisputed fight ASAP, and that's Deontay Wilder in April 13 at Wembley.
"When you consider how all week we have heard that not many people know who Wilder is, they will now - and Fury has done wonders for his own reputation beyond our shores".
"When I rush my punches like that I'm never accurate".
They are likely to fight again next spring, when Fury would become the favourite, posing a greater threat to Anthony Joshua's status as the world's leading heavyweight.
'And I wanted more than anything tonight to show the world that it can be done.
"I came here and fought my heart out - he [Wilder] is the second best heavyweight behind me".
Wilder, who also had Fury on the deck in the ninth round, was adamant he had won. I don't know anyone on the planet that can move like that.
Fury's Lazarus-like comeback in the twelfth looked as if it might be enough to clinch victory when the final bell rang but once the scorecards were read aloud, it confirmed that neither man could claim to be the victory after one of the best heavyweight title bouts of recent times. "That's what we proved tonight, and I'm ready to do it again".
Former two-weight world champion Andre Ward wrote on Twitter: "A draw, I understand (even tho I feel Fury won by a 2 or 3 rds)".