Randolph Township is one of four townships in Ohio County, Indiana, United States. As of the 2020 census, its population was 4,307 and it contained 2,008 housing units.
According to the 2010 census, the township has a total area of , of which (or 96.89%) is land and (or 3.14%) is water. The Ohio River defines the township's eastern border.
(This list is based on USGS data and may include former settlements.)
The township contains these three cemeteries: Cedar Hedge, LaGrange and Rising Sun.