Burton is a census-designated place in Beaufort County, South Carolina, United States. The population was 7,180 at the 2000 census. As defined by the U.S. Census Bureau, Burton is part of the Beaufort Urban Cluster and the larger Hilton Head Island-Beaufort Micropolitan Area. Burton apartments for rent comparison page shows most up to date rent information on Burton apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.