Shelby Township is one of eleven townships in Ripley County, Indiana. As of the 2020 census, its population was 1,038 (up from 999 at 2010) and it contained 373 housing units.
Collin's Ford Bridge, Marble Creek Bridge, and Old Timbers in the Big Oaks National Wildlife Refuge are listed on the National Register of Historic Places.
According to the 2010 census, the township has a total area of , of which (or 99.60%) is land and (or 0.39%) is water.