Lafayette Township is a township in Chautauqua County, Kansas, United States. As of the 2020 census, its population was 27.
Lafayette Township covers an area of and contains no incorporated settlements. According to the USGS, it contains three cemeteries: Crum, Saint Charles and Union Chapel.
The streams of Bachelor Creek, Broker Creek, Coon Creek, Coon Creek, North Salt Creek and Turkey Creek run through this township.