The fire in the building, which is still under construction, caused evacuations and disrupted light rail service.
Flames could be seen across the Hudson River in Manhattan. The fire quickly accelerated, feeding on lumber being used to frame interior areas of the upper floors.
The building's steel and concrete construction helped limit most of the damage to the two upper floors, fire officials said, and the building itself was in no danger of collapse. Occupancy is slated for the summer of 2009.