Rush Township covers an area of 27.64 square miles (71.6 km2) and contains two incorporated settlements: Lewis and Clark Village and Rushville. It contains four cemeteries: Armstrong, Gore, Hudseph and Sugar Creek.
Lewis and Clark Lake and Mud Lake are within this township. The streams of Goose Creek, Horseshoe Slough, Little Sugar Creek and Lost Creek run through this township.
Rush Township contains one airport or landing strip, East Atchison Airport (historical).