Monroe Township is one of eleven townships in Randolph County, Indiana. As of the 2020 census, its population was 3,459 (down from 3,711 at 2010[4]) and it contained 1,577 housing units.[2]
According to the 2010 census, the township has a total area of 29.14 square miles (75.5 km2), of which 29.14 square miles (75.5 km2) (or 100%) is land and 0.01 square miles (0.026 km2) (or 0.03%) is water.[4]