Henryville Township was organized in 1871, and named for Peter Henry, an early settler.

[3] According to the United States Census Bureau, the township has a total area of 36.3 square miles (94 km2), all land.

There were 96 housing units at an average density of 2.6 per square mile (1.0/km2).

24.4% of all households were made up of individuals, and 7.0% had someone living alone who was 65 years of age or older.

About 5.2% of families and 2.4% of the population were below the poverty line, including none of those under the age of eighteen or sixty five or over.