Footage posted on social media showed flames and a vast amount of smoke billowing from one of the windows of the skyscraper. The medical examiner's office will determine his cause of death. He also thanked the fire department.
President Trump tweeted earlier that the fire was "very confined, well built building".
His son, Eric Trump, tweeted: "Thank you to the awesome men and women of the NYFD who extinguished a fire in a residential apartment at @TrumpTower. As you can imagine, the apartment is quite large, we are 50 stories up", Nigro said. Fireman (and women) did a great job.
Six firefighters from the local fire department were also injured while trying to tame the blaze, departmental sources said.
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Mr. Trump tweeted soon after the fire broke out that his structure is "durable".
When questioned on the President's comments about Trump Tower, FDNY Commissioner Daniel Nigro said: "It's a well built building".
Sixty-seven-year-old Todd Brassner, who was in the apartment, was taken to a hospital and died a short time later.
Fire crews responded to the four-alarm blaze just before 6 p.m. ET after receiving a call at 5:35 p.m. from an automatic alarm system, Nigro said.
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The headquarters of the Trump Organization are on the 26th floor. There are four Firefighters with non-life-threatening injuries.
NY fire commissioner Donald Nigro said the 50th floor apartment was "virtually entirely on fire".
The skyscraper was opened in 1984 and has no sprinklers on its residential floors - an arrangement required in buildings made after 1999. One firefighter and two building employees suffered minor injuries in that fire.
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Nigro later said the fire wasn't fully under control, around an hour after Trump tweeted the fire was out, as the fire commissioner said there was still smoke in the building. "All we could do is put wet towels under the door and pray".