As of the census[1] of 2000, there were 493 people, 166 households, and 152 families residing in the township.

The racial makeup of the township was 99.19% White, 0.41% African American, 0.20% Asian, and 0.20% from two or more races.

6.6% of all households were made up of individuals, and 4.2% had someone living alone who was 65 years of age or older.

Luverne Township is located in Minnesota's 1st congressional district, represented by Mankato educator Tim Walz, a Democrat.

At the state level, Luverne Township is located in Senate District 22, represented by Republican Doug Magnus, and in House District 22A, represented by Republican Joe Schomacker.