Madison Township is one of thirteen townships in Putnam County, Indiana. As of the 2020 census, its population was 1,105 (up from 1,028 at 2010) and it contained 477 housing units.
According to the 2010 census, the township has a total area of , of which (or 99.69%) is land and (or 0.31%) is water.
(This list is based on USGS data and may include former settlements.)
It is in Greencastle Community School Corporation, which includes Greencastle High School.