The vehicle crashed into Universal Kingdom of God House of Israel, located at 133 W. 147th St. in Harvey, officials said.
Harvey police said those injured suffered non-life threatening injuries.
It was not immediately clear what led up to the crash.
SEE ALSO: Possible North Chicago armed kidnapping ends in Logan Square crash: police
Video of the scene showed heavy damage to both the car and the building.
Smoke could be seen, as firefighters responded to the scene. Some flames were visible, as well.
Police said the crash is under investigation, and the building will be demolished.