Jane F. Hague (born 1945 or 1946) is an American politician who served as a member of the King County Council in Washington state in the United States. She represented District 6, which encompasses the cities and towns of Beaux Arts, Bellevue, Clyde Hill, Hunts Point, Kirkland, Medina, Mercer Island, Redmond, Yarrow Point, and Woodinville.