Exeter Township is a township in Clay County, Kansas, United States.

As of the 2000 census, its population was 81.

Exeter Township covers an area of 36.19 square miles (93.7 km2) and contains no incorporated settlements.

According to the USGS, it contains three cemeteries: Lutheran, Pleasant Ridge and Wesleyan.

This article about a location in Clay County, Kansas is a stub.