Wright Township is one of fifteen townships in Greene County, Indiana, United States. As of the 2020 census, its population was 3,550, down from 3,921 at 2010.
Wright Township was named after Reverend Richard Wright, a pioneer preacher.
The Shakamak State Park Historic District was listed on the National Register of Historic Places in 2000.
According to the 2010 census, the township has a total area of , of which (or 98.62%) is land and (or 1.38%) is water.
(This list is based on USGS data and may include former settlements.)
The township contains three cemeteries: Bethel, Frye and Terhune.