Green Township is one of eleven townships in Randolph County, Indiana. As of the 2020 census, its population was 1,019 (up from 957 at 2010) and it contained 413 housing units.
Green Township was established in 1834.
According to the 2010 census, the township has a total area of , of which (or 99.49%) is land and (or 0.51%) is water.
(This list is based on USGS data and may include former settlements.)