Monroe Township is one of fourteen townships in Carroll County, Indiana. As of the 2020 census, its population was 2,863 (up from 2,797 at 2010) and it contained 1,287 housing units.
Monroe Township was organized in 1840.
According to the 2010 census, the township has a total area of , of which (or 99.92%) is land and (or 0.08%) is water.
The township contains three cemeteries: Maple Lawn, Moss, and Shirar Landis.
Monroe Township residents may obtain a library card at the Flora-Monroe Township Public Library in Flora.