The blaze reportedly broke out at around 6.58am on Monday, NBC4 NY reported, and appears to have affacted the top of the building, which would put the blaze close to Trump's own penthouse residence and several floors about the headquarters of The Trump Organization.
The Fire Department reported three injuries, two of which were not life-threatening.
Images showed dark plumes of smoke billowing from the building's roof just after 7 a.m.
NFL Looking Into Panthers' Handling Of Cam's Protocol
The organisation stipulates that any player suspected of having concussion must be evaluated in the dressing room. Medical personnel looked at him as a he took a seat, and Newton missed one play as Derek Anderson relieved him.
The 58-storey skyscraper is emblazoned with the Trump name and is a NY landmark - but what do we know about the building?
Fire officials said a civilian was treated for serious injuries and a firefighter was treated for minor injuries. The Department said its fighters were at the scene of the fire.
Trump was in Washington at the time. Fire officials described the blaze as both being on the top floor and roof.
Egypt denies its intelligence agent suggested Ramallah be Palestinian capital
In response, the SIS stated that the NYT report mentioned four of the "hosts of influential talk shows". Kirkpatrick, the Times' London-based global correspondent.
Firefighters stand on top of Trump Tower during a small fire on January 8, 2018.
The first story claimed that President Donald Trump was "feared dead" because of the fire on the roof of the building, which is also the President's home in the city. The New York Fire Department was here within minutes and did an incredible job. His son Eric Trump tweeted his praise of the firefighters for their quick response. Trump's primary residence was in the building before his election victory and inauguration almost a year ago.
Frank Beamer selected for College Football Hall of Fame
Beamer led Virginia Tech for almost three decades, winning 280 games in his coaching career, which ranks sixth in FBS history. Taylor was a key member of the Huskers' dominate run under Tom Osborne that ended with national titles in 1994-95 and 1997.