Greene Township is one of thirteen townships in Parke County, Indiana, United States. As of the 2020 census, its population was 413 and it contained 181 housing units.
The Portland Mills Bridge was listed on the National Register of Historic Places in 1978.
According to the 2010 census, the township has a total area of , of which (or 99.72%) is land and (or 0.25%) is water.
(This list is based on USGS data and may include former settlements.)
The township contains these nine cemeteries: Bruin, Clodfelter, Jarvis, Lane, Mount Moriah, Philadelphia, Raccoon, Seybold and Spencer.