Police said the crash happened near West 84th Place and South Kedzie Avenue around 2:15 p.m.
A 67-year-old man was driving an SUV eastbound on 84th Place when he collided with a black Nissan sedan, which was traveling southbound on Kedzie Avenue, police said.
The SUV then crashed into the New Knowledge Learning Center Pre-School & Kindergarten.
A 5-year-old girl, who was inside the daycare, suffered a cut to her head, police said. She was taken to Comer Children's Hospital in good condition.
Both drivers were taken to Little Company of Mary Hospital in good condition for observation.
Citations are pending, and CPD's Major Accidents detectives are investigating.
Further information was not immediately available.