Conway is a city in Horry County, South Carolina, United States. The population was 11,788 at the 2000 census. It is the county seat of Horry County. It is the home of Coastal Carolina University. Numerous buildings and structures are on the National Register of Historic Place. 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.