Photo #28462 - Point of Information - crossing the Savannah River. The Savannah River Site is located in the south eastern coastal area of the United States in the state of South Carolina. It is bordered to the west by the Savannah River and Georgia, and is close to several major cities, including Augusta, Georgia, and Savannah Georgia, Columbia, Greenville, and Charleston (SC). From ancient mountains to rolling rivers, charming towns to a bustling metropolis, Georgia offers whatever it is you’re looking for.