Riley Township is one of twelve townships in Vigo County, Indiana, United States. As of the 2010 census, its population was 3,123 and it contained 1,260 housing units.
According to the 2010 census, the township has a total area of , of which (or 98.24%) is land and (or 1.76%) is water.
The township contains six cemeteries: Cooper, Jones, Liberty, Mewhinney, Miner, and Oak Hill.