Welch Township is a township in Goodhue County, Minnesota, United States. It lies about halfway between the cities of Hastings and Red Wing and 36 miles southeast of Saint Paul. The population was 697 at the 2000 census. It is centered on the small community of Welch on the Cannon River. Like many river towns in the Driftless Area, it is situated at the base of the steep bluffs of the river valley.

Goodhue County is a county in the U.S. state of Minnesota. As of the 2020 census, the population was 47,582. Its county seat is Red Wing. Nearly all of Prairie Island Indian Community is within the county.