La Vergne is a city in Rutherford County, Tennessee, United States. The population was 38,719 at the 2020 census. La Vergne lies within the …La Vergne is a city in Rutherford County, Tennessee, United States. The population was 38,719 at the 2020 census. La Vergne lies within the Nashville Metropolitan Statistical Area. Notably, its police department was the subject of a 2023 sex scandal.