State police said troopers that are part of the Governor's Executive Protection Unit responded to the home around 9:40 a.m. when someone threw rocks, breaking three windows.
The troopers, along with Chicago police, searched the area. CPD located and arrested a suspect.
Illinois State Police said the governor and his wife were home at the time of the incident, but no one was hurt.
The suspect remains in custody pending charges from the Cook County State's Attorney's Office.
Track crime and safety in your neighborhood