Montgomery Township is one of thirteen townships in Owen County, Indiana, United States. As of the 2020 census, its population was 1,203 (down from 1,304 at 2010) and it contained 562 housing units.
Montgomery Township was founded in 1819.
According to the 2010 census, the township has a total area of , of which (or 99.62%) is land and (or 0.38%) is water.
(This list is based on USGS data and may include former settlements.)
The township contains these three cemeteries: Cloyd, Kaufman and Smith.