Green Township is one of fourteen townships in Morgan County, Indiana, United States. As of the 2010 census, its population was 3,520 and it contained 1,317 housing units.

According to the 2010 census, the township has a total area of 33.47 square miles (86.7 km), of which 33.15 square miles (85.9 km) (or 99.04%) is land and 0.32 square miles (0.83 km) (or 0.96%) is water.

• Adams at 39°28′56″N 86°21′20″W / 39.482270°N 86.355548°W / 39.482270; -86.355548
• Chetwynd at 39°26′35″N 86°16′10″W / 39.443104°N 86.269435°W / 39.443104; -86.269435
• Cope at 39°27′01″N 86°19′08″W / 39.450326°N 86.318881°W / 39.450326; -86.318881
• Exchange at 39°30′06″N 86°19′20″W / 39.501715°N 86.322214°W / 39.501715; -86.322214

(This list is based on USGS data and may include former settlements.)

The township contains these six cemeteries: Brian, Centennial Church, Flake, Scroggins, Thompson and Williams.

• Indiana State Road 37
• Indiana State Road 44

• Jungclause Airport

• Metropolitan School District of Martinsville Schools

• Indiana's 4th congressional district
• State House District 47
• State Senate District 37

• "Green Township, Morgan County, Indiana". Geographic Names Information System. United States Geological Survey, United States Department of the Interior. Retrieved September 26, 2009.
• United States Census Bureau 2008 TIGER/Line Shapefiles
• IndianaMap

• Indiana Township Association
• United Township Association of Indiana
• City-Data.com page for Green Township