Grant Township is one of fifteen townships in Greene County, Indiana, USA. As of the 2020 census, its population was 682, down from 739 at 2010.
According to the 2010 census, the township has a total area of , of which (or 99.92%) is land and (or 0.12%) is water. The stream of Buck Creek runs through this township.
The township contains three cemeteries: Buzan, Switz City and Waggoner.