The racial makeup of the township was 98.53% White, 0.49% African American, 0.49% Asian, and 0.49% from two or more races.

23.2% of all households were made up of individuals, and 8.5% had someone living alone who was 65 years of age or older.

About 3.3% of families and 4.8% of the population were below the poverty line, including 5.1% of those under the age of eighteen and 6.5% of those 65 or over.

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

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