Police said they received a call about a disturbance at about 5:25 a.m. in the 100-block of South Roselle Road.
Officers found a woman at the scene; police said she was dead when they arrived.
A man who was at the scene was taken into custody, police said.
Schaumburg police said the two knew each other and it appeared to be a "domestic related incident."
A large police presence was seen in the shopping center area on Tuesday morning.
Chopper 7 was over the scene as police investigated a white Range Rover in the area of the parking lot.
No other information regarding the woman's death was released.
You can contact the Illinois domestic violence hotline at 1-877-863-6338 click here for more information.