Burnham is a village in Cook County, Illinois, United States. The population was 4,046 at the 2020 census. Burnham has a Chicago ZIP code and was named for Telford Burnham, who drew its plat. There are two sections of Burnham. The westernmost section surrounds Torrence Avenue, a north–south street. Torrence Avenue leaves this part of Burnham via a bridge, with Chicago on the other side. The eastern section surrounds Burnham Avenue, another north–south street.