The broke broke out around 6:30 p.m. Sunday in the roof of the property's administrative building.
A witness tells WMBD 31 smoke and flames could be seen coming from the second level.
Firefighters arrived with multiple engines, including a latter truck, and had everything under control around 7 p.m.
No one was inside the building when the fire started. There were no reports of any other injuries Sunday night.
Brenda Coates is the Executive Director of the Peoria Housing Authority, which runs Taft Homes.
She told WMBD 31 the second level is used for a food pantry and educational programs.
Coates said the area was damaged, but the extent was still being determined Sunday night.
She said residents should see no disruption in services.
The building's second level will be off limits until further notice. Coates said Taft residents can enter the building using the main entrance on the first floor.
A damage estimate and exact cause of the fire was not available as of 8:45 p.m. Sunday.
Battalion Chief Ron Jones told WMBD 31 he believed an electrical problem is to blame.