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.

[2] The Portland Mills Bridge was listed on the National Register of Historic Places in 1978.

[5] (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.