Covington is a city located on the western edge of Fountain County, Indiana. The population was 2,645 at the 2010 census. The city is the county seat of Fountain County.
Covington is located at 40°8′26″N 87°23′35″W / 40.14056°N 87.39306°W / 40.14056; -87.39306 (40.140518, -87.393106).
According to the United States Census Bureau, the city has a total area of 1.2 square miles (3.0 km²), all of it land. It is bounded on the west by the Wabash River and on the south by Interstate 74.