Morgan Township is one of thirteen townships in Owen County, Indiana, United States. As of the 2020 census, its population was 1,148 (down from 1,237 at 2010) and it contained 593 housing units.
Morgan Township was founded in the 1820s.
According to the 2010 census, the township has a total area of , of which (or 99.73%) is land and (or 0.27%) is water.
(This list is based on USGS data and may include former settlements.)
The township contains these three cemeteries: Olive Hill, Pleasant Grove and Spears.