A post office was built in Cherry Township in 1878.

As of the census of 2010[5] there were 1,705 people, 739 households, and 505 families residing in the township.

The population density was 29.6 people per square mile (11.4 people/km2).

There were 1,227 housing units at an average density of 21.3 per square mile (8.2/km2).

There were 739 households, out of which 23.0% had children under the age of 18 living with them, 55.8% were married couples living together, 7.3% had a female householder with no husband present, and 31.7% were non-families.