The incident was reported at 1 Bell Slip, a 31-story building near Commercial and Clay Streets, on Thursday afternoon.
The arm of the crane could be seen dangling off the side of the building, instead of being perched above it.
The collapsed potion of the crane was said to be about 175 feet.
The Department of Buildings said their preliminary investigation revealed at the time of the incident, technicians were on site performing maintenance work on the tower crane when the crane's boom experienced a partial collapse.
No injuries were reported and it appears the rest of the crane is structurally sound.
No part of the crane fell to the ground and the tower construction project was not damaged in the incident.
The DOB is continuing its investigation and working with engineers and the crane company to assess the damage to the crane and determine what measures should be taken to make the site safe.
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