According to the 2021 census gazetteer files, Crescent Township has a total area of 36.42 square miles (94.33 km2), all land.

[2] The township contains Saint Peter's Lutheran Cemetery.

As of the 2020 census[1] there were 567 people, 235 households, and 187 families residing in the township.

There were 259 housing units at an average density of 7.11 per square mile (2.75/km2).

14.90% of all households were made up of individuals, and 8.10% had someone living alone who was 65 years of age or older.