Trump was in Washington, where he has lived since he was elected president.
Investigators are looking into a possible electric issue as the cause of the fire, Sakowich said.
The president's son Eric tweeted his thanks to firefighters for doing "an incredible job".
Trump Tower was also the setting for the developer-turned-president's reality TV show, The Apprentice, and the headquarters of his presidential campaign.More news: Real Madrid are f****** sunk! - Marcelo fumes after latest loss
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The city's Fire Department said the blaze started at about 7am (noon GMT) on the roof of the 68-storey building, which contains United States president Donald Trump's home and business offices.
No injuries have been reported due to the one-alarm fire, according to the NYPD.
A view of Trump Tower in New York City. Located on Fifth Avenue, the glitzy building contains offices, cafes, condos, and an atrium that's open to the public.
His main residence is the White House, although he maintains a luxurious apartment in Trump Tower.