Green Township is one of 13 townships in Grant County, Indiana, United States. As of the 2010 census, its population was 500 and it contained 225 housing units.
According to the 2010 census, the township has a total area of , all land.
(This list is based on USGS data and may include former settlements.)
The township is in Madison-Grant United School Corporation. The district's comprehensive high school is Madison-Grant High School.