A kinesiology tape bandage includes a piece of anisotropically stretchable woven fabric, a stretchable dressing attached to a first side of the fabric, and pressure-sensitive adhesive applied to at least some of an exposed area of the first side of the fabric. The kinesiology tape bandage is applied to a body by stretching the kinesiology tape bandage to at least 125% of its unstretched length, positioning a dressing of the bandage over a wound on the body, and pressing the stretched bandage against the body to activate a pressure-sensitive adhesive on the bandage and adhere the stretched bandage to the body.