Harrison Township is one of thirteen townships in Owen County, Indiana, United States. As of the 2020 census, its population was 434 (down from 444 at 2010), and it contained 191 housing units.
Harrison Township was organized in 1837.
According to the 2010 census, the township has a total area of , of which (or 99.83%) is land and (or 0.17%) is water.
The township contains Asher Cemetery.