Madison Township is one of eleven townships in Montgomery County, Indiana, United States. As of the 2010 census, its population was 1,192 (down from 1,272 at 2010) and it had 512 housing units.
According to the 2010 census, the township has a total area of , all land.
Madison Township residents may obtain a free library card from the Linden Carnegie Public Library in Linden.