Sublette is a city in and the county seat of Haskell County, Kansas, United States. The population was 1,592 at the 2000 census. It was named for William Lewis Sublette, a French Huguenot who was a partner in the Rocky Mountain Fur Company. Sublette was a mountain man, fur trapper and pioneer who blazed a trail through the area and was known by the local natives as "Cut Face".