Green Township is one of fourteen townships in Madison County, Indiana, United States.

As of the 2010 census, its population was 7,537 and it contained 2,758 housing units.

[3] According to the 2010 census, the township has a total area of 24.13 square miles (62.5 km2), of which 23.99 square miles (62.1 km2) (or 99.42%) is land and 0.14 square miles (0.36 km2) (or 0.58%) is water.

[2] The township contains these eight cemeteries: Doty, Fausset, Gravel Lawn, Hiday, Jones, Mount Carmel, Nicholson and Pleasant Valley.

Green Township residents may obtain a free library card from the Pendleton Community Public Library in Pendleton.