Central High is a town in Stephens County, Oklahoma, United States. The population was 1,199 at the 2010 census, an increase of 25.7 percent from 954 at the 2000 census. The town was named in 1921, because it was near the center of a consolidated high school district (District 34), created from four smaller districts in Stephens County: Wolf Creek, Nellie, Prairie Center, and Pleasant Hill.