Green Township is one of thirteen townships in Noble County, Indiana, United States. As of the 2020 census, its population was 2,016 (down from 2,123 at 2010) and it contained 739 housing units.
The Stanley School-District No. 2 was listed on the National Register of Historic Places in 2014.
According to the 2010 census, the township has a total area of , of which (or 99.00%) is land and (or 1.03%) is water.
(This list is based on USGS data and may include former settlements.)
The township contains Grays Cemetery.