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[1]) and it contained 562 housing units.

[3] According to the 2010 census, the township has a total area of 23.55 square miles (61.0 km2), of which 23.46 square miles (60.8 km2) (or 99.62%) is land and 0.09 square miles (0.23 km2) (or 0.38%) is water.

[1] (This list is based on USGS data and may include former settlements.)

The township contains these three cemeteries: Cloyd, Kaufman and Smith.