Greenville Township is one of five townships in Floyd County, Indiana. As of the 2010 census, its population was 6,746 and it contained 2,532 housing units.
The Jersey Park Farm was listed on the National Register of Historic Places in 1984.
According to the 2010 census, the township has a total area of , of which (or 99.67%) is land and (or 0.33%) is water.
The township contains three cemeteries: Buttontown (in an 1876 obituary, it was called Kepley Schoolhouse Cemetery), Greenlawn and Mount Eden.