It was first known as Union Township until 1854, when the name was changed to its present form.

[1] Orange Township covers an area of 29.53 square miles (76.5 km2) and contains one incorporated settlement, Grand Mound.

According to the USGS, it contains five cemeteries: Allison, Barber, Calvary, Evergreen and Smith.

The stream of Barber Creek runs through this township.

This article about the geography of Clinton County, Iowa is a stub.