[7] Norwood Township is located along the shores of Lake Michigan and contains the southern portion of Fisherman's Island State Park.

As of the census[2] of 2000, there were 714 people, 283 households, and 213 families residing in the township.

There were 385 housing units at an average density of 21.2 per square mile (8.2/km2).

There were 283 households, out of which 29.7% had children under the age of 18 living with them, 67.8% were married couples living together, 3.5% had a female householder with no husband present, and 24.4% were non-families.

21.6% of all households were made up of individuals, and 10.6% had someone living alone who was 65 years of age or older.