Video posted on social media showed flames pouring out of some windows of the building.
The New York Police Department warned of traffic and road closures in the area. He also thanked the fire department.
President Donald Trump lobbied not to have sprinklers installed on the residential floors of his NY properties.
Firefighters reported smoke throughout tower and inspected Trump's residence but did not say if it was damaged. As you can imagine, the apartment is quite large, we are 50 stories up. Firemen (and women) did a great job.
The FDNY said that six firefighters suffered injuries fighting the blaze.
On Sunday morning, Trump posted about a half-dozen tweets on a variety of subjects, including the "rigged" investigation into Hillary Clinton and how he and Chinese President Xi Jinping would "always be friends, no matter what happens with our dispute on trade".
Officials said no member of the Trump family was at the building Saturday.
The man who died was found inside an apartment on the 50th floor of the Manhattan skyscraper after flames broke out Saturday afternoon. On January 8, a fire had broken out there slightly injuring two citizens and a firefighter.
Nigro also said the upper floors of the building do not have fire sprinklers and that additional fire protection is required for the building when the President is staying in his unit.
The department said 200 firefighters and EMS members were at the scene of the fire to bring the blaze under control.
Both Donald and Eric Trump did not mention the casualty of the fire.
Trump Tower opened in 1983, and only has sprinklers on the first 10 floors, which have commercial tenants.