Covesville is an unincorporated community in Albemarle County, Virginia, United States. Covesville is located 15.7 miles southwest of Charlottesville, Virginia and has a post office with ZIP code 22931.The community is listed on the National Register of Historic Places as the Covesville Historic District. In addition, Cove Presbyterian Church, Redlands, and Edgemont are individually listed on the National Register in the community.