Sweet Township is a township in Pipestone County, Minnesota, United States. The population was 448 at the 2000 census. The unincorporated community of Airlie is located here one mile east of the South Dakota border. The Pipestone National Monument is also located here. The township lies just outside the city of Pipestone, adjacent to the city's western and southwestern sides.Sweet Township was incorporated in 1879, and named for Daniel E. Sweet, a pioneer settler.