Conway is a city in Horry County, South Carolina, United States. The population was 17,103 at the 2010 census, and had an estimated population in 2016 of 22,761. It is the county seat of Horry County and is part of the Myrtle Beach metropolitan area. It is the home of Coastal Carolina University.Numerous buildings and structures located in Conway are on the National Register of Historic Places. Among these is the City Hall building, designed by Robert Mills, architect of the Washington Monument. Since the completion of the Main Street USA project in the 1980s, Conway's downtown has been revitalized with shops and bistros. Highlighting the renovation of the downtown area is the Riverwalk, an area of fine dining which follows a stretch of the Waccamaw River that winds through Conway.