Salem Township is one of twelve townships in Delaware County, Indiana. According to the 2010 census, its population was 4,034 and it contained 1,729 housing units.
The Richwood Evangelical Lutheran Church was listed on the National Register of Historic Places in 2004.
According to the 2010 census, the township has a total area of , of which (or 99.63%) is land and (or 0.40%) is water.
The township contains three cemeteries: Saunders, Sharp and Sunderland.