Manny Pacquiao, who has won world titles in eight weight classes, added on the social networking site: "Respect to Fury for sticking to his game plan and to Wilder for closing the gap with two huge knockdowns!"
One judge scored the bout in Wilder's favor 115-111, while the second judge scored the bout 114-110 for Fury, and the final judge scored the fight 113-113.
Both men weren't overly upset by the verdict after a compelling bout in front of a frenzied Hollywood crowd. "We're both warriors. But with those two drops, I think I won the fight".
"I'm not going to sit here and complain, and scream robbery or whatever", Fury said.
"It happened to me and I knew it was going to happen to him". But Fury went down again - and almost everybody thought it was for good.
It looks all over as Tyson Fury thuds to the canvas after being knocked down by Deontay Wilder during the 12th round.More news: Former US president George HW Bush passes away at 94
"I would love for it to be my next fight", Wilder said.
The self-proclaimed "Gypsy King", who returned to boxing this year after missing more than two years, had boxed cleverly to evade the heavy-hitting threat of Wilder for most of the fight.
Fury seemed to take the result in good spirits though, especially knowing that a rematch is all but a certainty. It was a great fight, so let's do it again.
Speaking on BBC Radio 5 live's boxing podcast, Costello said: "It has created all this controversy and debate, but it came at the end not of a stinker, as many of us feared, but it's a draw that we are all talking about - it's contentious for me, rather than controversial".
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.
According to CompuBox punch statistics, Wilder landed 71 of 430 shots (17 percent), and Fury landed 84 of 327 (26 percent).
Late in the round, Fury threw his hands in the air and wagged his tongue, imploring Wilder to come at him. It doesn't matter to me where we do it. "Me and this man are the two best heavyweights on the planet", added Fury, who exited his press conference after leading a rousing chorus of Don McLean's classic "American Pie".