Madison Township is one of twelve townships in Dubois County, Indiana. As of the 2010 census, its population was 2,696 and it contained 935 housing units.
The Shiloh Presbyterian Church was listed on the National Register of Historic Places in 1982.
According to the 2010 census, the township has a total area of , of which (or 98.26%) is land and (or 1.74%) is water.
(This list is based on USGS data and may include former settlements.)
The township contains six cemeteries: Alexander, Armstrong, Dillin, Hobbs, Mount Zion and Payne.
Madison Township is in Greater Jasper Consolidated Schools.
Previously Ireland had its own high school, known as Madison Township High School. The school colors were green and white, and the mascot was the "spuds" (meaning potatoes). A new building was being built circa 1948. In 1970 the school merged into Jasper High School.