The city of Greenville occupies what was originally the northern part of Eureka Township.

State highways M-57 and M-91 cross the township, intersecting in Greenville.

Wabasis Creek, a tributary of the Flat River, drains the southwest part of the township.

As of the census[3] of 2000, there were 3,271 people, 1,179 households, and 929 families residing in the township.

17.2% of all households were made up of individuals, and 5.5% had someone living alone who was 65 years of age or older.