The victim, a male resident, died at the hospital and has not yet been identified, they said.
US President Donald Trump has a home and an office in the building, but is currently in Washington.
The fire was reported to be on the 50th floor of the high-rise, which contains apartments and office space.
The president tweeted that the fire was out, and had been "very confined" as the tower is a "well-built building".
Streets surrounding the building in Midtown Manhattan have been closed off.
A spokeswoman for First Lady Melania Trump confirmed that she and their son Barron Trump were also in Washington.
Mr Trump's son Eric tweeted that the fire had been at a "residential apartment" and thanked the "incredible" NYFD for their response.
Fire officials have not yet released a suspected cause of the blaze, adding no member of the Trump family was in the building at the time.
"This was a very difficult fire. As you can imagine, the apartment is quite large, we are 50 stories up. The rest of the building had a considerable amount of smoke," Fire Commissioner Daniel Nigro said on Twitter.
About 200 fire personnel responded to the incident that the department said was a four-alarm fire.
Video on social media showed flames outside of a few windows and black smoke billowing up from the high-rise.
In January, three people were injured in an early-morning fire at the top of Trump Tower. One firefighter was hospitalized while two people received minor injuries that were treated at the scene, the New York Fire Department said.
In addition to the president's 66th-floor penthouse, Trump Tower houses the headquarters of the Trump Organization as well as other residences, offices and stores.