Grundy is a town in Buchanan County, Virginia, United States. The population was 1,105 at the 2000 census and 1,021 at the 2010 census. It is the county seat of Buchanan County. The town is noted for its educational institutions and their role in the town's economic rebirth. In the past, the town served as a stopover for Union troops on their way to the Battle of Saltville.