A reusable ankle support structure comprises an inner layer of a resilient material, such as neoprene rubber, and an outer layer of a relatively non-resilient but flexible material, such as denim cloth, that is secured as a pair of mirror image sections to the outside surface of the inner layer. Each of the outer layer sections includes an integral, elongated flexible strap extending therefrom. The resilient inner layer is snugly wrapped around the ankle of a human with the straps to the front of the ankle. The straps are snugly wrapped around the foot crossing over the top of the foot and again under the arch of the foot, pulled upwardly on opposite sides of the ankle and then secured under tension to the sides of the structure. The straps thus combine with the inner layer to provide stirrup-like support against eversion and inversion of the ankle. Hook and loop fastening panels may be secured to the structure to facilitate its application.