As of the census[1] of 2000, there were 1,411 people, 555 households, and 405 families residing in the township.

There were 790 housing units at an average density of 26.1 per square mile (10.1/km2).

The racial makeup of the township was 98.72% White, 0.35% Native American, and 0.92% from two or more races.

22.5% of all households were made up of individuals, and 11.4% had someone living alone who was 65 years of age or older.

Harrisville Township is served entirely by Alcona Community Schools.