[3] According to the United States Census Bureau, the township has a total area of 37.2 square miles (96 km2), all land.
12.9% of all households were made up of individuals, and 2.9% had someone living alone who was 65 years of age or older.
About 21.6% of families and 16.5% of the population were below the poverty line, including 5.1% of those under the age of eighteen and 27.8% of those 65 or over.
Fountain Prairie Township is located in Minnesota's 7th congressional district, represented by Collin Peterson, a Democrat.
At the state level, the township is located in Senate District 22, represented by Republican Bill Weber, and in House District 22A, represented by Republican Joe Schomacker.