A toque (pronounced /ˈtoʊk/) is a type of hat with a narrow brim or no brim at all. They were popular from the 13th to the 16th century in Europe, especially France.
Toque" is a main headword, "tuque" considered a variant spelling, "touque" does not appear. ^ Merriam-Webster states it derives from Canadian French tuque, in turn from French toque.