It said the crane had been leased by a subcontractor, from New York Crane and Equipment Corp.
Construction cranes have been a source of safety worries in the city since two giant rigs collapsed within two months of each other in Manhattan in 2008, killing a total of nine people.
New York Crane's equipment was involved in one of those collapses. Owner James Lomma was tried and acquitted on manslaughter charges.
A call to their offices seeking comment Wednesday wasn't answered.
Those accidents spurred the resignation of the city's buildings commissioner and fueled new safety measures, including hiring more inspectors and expanding training requirements and inspection checklists.
Another crane fell and killed a worker in April at a construction site for a new subway line. That rig was exempt from most city construction safety rules because it was working for a state-overseen agency that runs the subway system.
During Superstorm Sandy in late October, a construction crane atop a $1.5 billion luxury high-rise in midtown Manhattan collapsed in high winds and danged precariously for several days until it could be tethered.
The latest crane collapse wasn't the only notable accident in New York City on Wednesday. A high-speed ferry loaded with hundreds of commuters from New Jersey crashed into a dock in lower Manhattan during morning rush hour, seriously injuring 11 people. The cause of that crash is also under investigation.