Rossville is a town in Fayette County, Tennessee, United States. The population was 1,041 at the 2020 census, up from 664 at the 2010 census. Rossville is located in southwestern Fayette County at 35°2′38″N 89°32′35″W / 35.04389°N 89.54306°W. It is bordered to the west by the city of Piperton and to the south by Marshall County, Mississippi.