Peace Township was named to contrast with Warman.

As of the census[1] of 2000, there were 963 people, 358 households, and 264 families residing in the township.

The population density was 26.5 inhabitants per square mile (10.2/km2).

There were 358 households, out of which 33.8% had children under the age of 18 living with them, 61.7% were married couples living together, 7.8% had a female householder with no husband present, and 26.0% were non-families.

20.4% of all households were made up of individuals, and 6.1% had someone living alone who was 65 years of age or older.