Royalton Township was named for Royal C. Gray, a pioneer settler.
As of the census[1] of 2000, there were 976 people, 340 households, and 266 families residing in the township.
The population density was 28.4 inhabitants per square mile (11.0/km2).
There were 340 households, out of which 37.9% had children under the age of 18 living with them, 66.8% were married couples living together, 6.2% had a female householder with no husband present, and 21.5% were non-families.
17.9% of all households were made up of individuals, and 7.4% had someone living alone who was 65 years of age or older.