Vine Grove is a home rule-class city in Hardin County, Kentucky, United States. The population was 6,559 as of the 2020 Census, up from 4,…Vine Grove is a home rule-class city in Hardin County, Kentucky, United States. The population was 6,559 as of the 2020 Census, up from 4,520 at the 2010 census. It is part of the Elizabethtown–Fort Knox Metropolitan Statistical Area.