The fire at the Harbor Point apartments was reported at about 3 a.m. Tuesday.
Firefighters focused on a fourth-floor apartment where the blaze is thought to have originated. That's where the victim, described as an elderly man, was found.
Four other residents were taken to hospitals for treatment of smoke inhalation, while a firefighter suffered a shoulder injury.
About 50 residents were briefly displaced from their apartments.
There was no immediate word on a cause.