Fulton Township is one of eleven townships in Fountain County, Indiana, United States.

[3] Fulton Township covers an area of 30.63 square miles (79.3 km2); 0.28 square miles (0.73 km2) (0.91 percent) of this is water.

It contains two unincorporated settlements: Cates, in the eastern part of the township, and Silverwood in the southwest, just north of Lodi in Parke County.

Indiana State Road 234 passes through Silverwood on its way east from Cayuga in neighboring Vermillion County.

[5] The township contains these six cemeteries: Baker,[6] Bethel,[7] Cates,[8] Hibbs,[9] Norton[10] and Silver Island.