According to Det, the man was arrested by elevator between the basement and the first floor of the building on Third Avenue on the East Side of Manhattan. Sophia Mason, a police spokeswoman.
Rescue personnel have declared the man dead after an emergency call at the scene, Mason said.
The police said the man apparently left the elevator on the first floor as he plunged between the floors and held him there.
His ID card was not released until his family was notified, Mason said. The medical examination determines the cause of death.
The municipal building authority issued a statement declaring that it would conduct investigations and "take all appropriate enforcement action". Inspectors were on site.
"Elevators are the safest form of New York travel because of the city's stringent inspection and safety requirements," the statement said. "We are determined to find out what went wrong with this building and look for ways to prevent such incidents in the future." Kips Bay section of Manhattan.
There was no immediate comment from the property manager.