Chicago Fire Department CFD spokesman Larry Langford said one person was found dead on the 15th floor.
Eight people were transported to the hospital, officials said, and an elderly woman was in critical condition. One firefighter was also hospitalized.
Sophia King, the alderman for the area, said the person who died was found in the apartment where officials believe the fire began. Authorities have not released further information about the person who died.
The fire began around 10 a.m. at 4850 Lake Park on the 15th and spread to the 24th floor.
At least nine levels appeared to have been damaged with windows blown out and burn marks around the window frames.
The Associated Press contributed to this report.