FDNY later said flames were located on the roof, and there was never fire inside the building.
Three people, including a firefighter, suffered minor injuries, officials said.
Trump's son, and the executive vice president of The Trump Organization, Eric Trump tweeted that an electrical fire in a cooling tower was being eyed as the cause.
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The fire department is on the scene, the police spokesman said.
There were numerous announcements addressing tenants to assure them that there was no need to evacuate because the smoke from the fire hadn't breached the building.
Cameras on the top of Rockefeller Center, about seven blocks away, showed firefighters crowding around on the top of the building as smoke emitted from one corner of the roof about 7:30 a.m.
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Likewise, the macOS High Sierra 10.13.2 Supplemental Update uses similar language with regards to stamping out the Spectre threat. The patches mitigate two security bugs (CVE-2017-5753 and CVE-2017-5715) collectively referred to as Spectre .
About 84 firefighters were at the scene initially. It took about an hour to put out the fire at the building, which is located on Fifth Avenue in Manhattan.
More than 100 firefighters have responded to a call from Trump Tower, where a blaze has broken out in the NY building.
President Donald Trump was not at the Manhattan high-rise at the time of the fire.
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The building houses luxury apartments and businesses. Several other members of the Trump family also live in the tower.