Canyon is a city in Randall County, Texas, United States. The population was 12,875 at the 2000 census. It is the county seat of Randall County. It is the home of West Texas A&M University and Panhandle-Plains Historical Museum. Palo Duro Canyon State Park can be found 10 miles east of Canyon. Canyon apartments for rent comparison page shows most up to date rent information on Canyon apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.