Clark Township is one of eleven townships in Montgomery County, Indiana, United States. As of the 2020 census, its population was 1,841 (representing no change from 2010) and it contained 766 housing units.
Clark Township was founded in 1830.
According to the 2010 census, the township has a total area of , of which (or 99.94%) is land and (or 0.06%) is water.
The township contains these six cemeteries: Harshbarger, Hicks, Inlow, Mount Pleasant, Stoner and Wesley.
Clark Township residents are served by the Ladoga-Clark Township Public Library.