Logan Township is one of nine townships in Pike County, Indiana, United States. As of the 2020 census, its population was 440 and it contained 179 housing units.
Logan Township was organized in 1846.
According to the 2010 census, the township has a total area of , of which (or 98.48%) is land and (or 1.52%) is water. The Patoka River defines the township's southern border.
(This list is based on USGS data and may include former settlements.)
The township contains these seven cemeteries: Barnes, Beck, DeJarnett, Loveless, McGillem, Willis and Wilson.