Norton Township is a township in Jefferson County, Kansas, United States. As of the 2000 census, its population was 955.
Norton Township covers an area of 39.06 square miles (101.17 square kilometers); of this, 0.12 square miles (0.3 square kilometers) or 0.3 percent is water. The streams of Howard Creek and Hulls Branch run through this township.
The township contains three cemeteries: Corpus Christi, Nortonville, and Saint Josephs.