Sponsored Topics. Auburn is a town in Barrow and Gwinnett Counties, Georgia. The population was 6,904 at the 2000 census. Auburn is located at 34°1′0″N 83°49′55″W / 34.016667°N 83.83194°W / 34.016667; -83.83194 (34.016692, -83.831869). According to the United States Census Bureau, the town has a total area of 5.3 square miles (13.8 km²), all of it land.