Abstract: A visor construction with inverted display material for enabling the visor to be worn of a head of a wearer in an upside down orientation while providing an upright disposition of display material. The visor has a header panel with a first, outwardly facing surface and a second surface for being disposed adjacent to the head of the wearer. An arcuate bill is fixed to the header projecting transversely from the first, outwardly facing surface of the header panel. A strap, resiliently deflectable legs, or any other appropriate arrangements can be employed to retain the header panel and the arcuate bill relative to the wearer's head. Display material is oriented oppositely to the visor construction thereby enabling the visor construction to be worn upside down while retaining the display material in an upright orientation.