By law, motorists must notify the Illinois Secretary of State's office within 10 days when their address or name changes (Illinois Vehicle Code, Sec. 3-416, 6-116 and 6-511). This will ensure that you receive your renewal notices and other correspondence at the appropriate address.
If you would like to update the address on your actual driver's license/State ID card, you must visit a Secretary of State facility and bring one Acceptable Identification (Group D) and pay the appropriate fee.
You can change just your address online.