A non-compliant medical balloon may be changed from a deflated state to an inflated state by increasing the internal pressure within the balloon. The balloon comprises a balloon layer having an outer surface, the balloon layer including a base layer, a first reinforcing layer and a second reinforcing layer. The base layer is formed of a polymer material. The first reinforcing layer is one of either a plurality of discrete inelastic fibers oriented substantially parallel to the long axis of the balloon and a first layer of textile fabric material, the textile fabric material being one of a woven, knitted, braided and non-woven fabric. The second reinforcing layer is one of either at least one inelastic fiber wrapped around the circumference of the balloon substantially transverse to the long axis of the balloon and a second layer of textile fabric material, the textile fabric material being one of a woven, knitted, braided and non-woven fabric. At least one of the first and second reinforcing layers is a layer of textile fabric material. At least one strengthening rod is connected to the outer surface of the balloon layer.