The tree crashed into the fourth floor of the Methodist Home for Nursing and Rehabilitation on 4499 Manhattan College Parkway between 4:30 and 5 a.m.
The force of the tree knocked a 2-foot hole into the facade.
Residents of the apartment were uninjured, but several were forced to evacuate.
Other residents were permitted to stay in the building.
The Department of Buildings will determine the nursing home's structural integrity.