A system for horseback riding comprising an inverse stirrup which allows a horseback rider to use the top of the rider's foot to resist upward or transverse forces so as to maintain the rider's position on the horse. The inverse stirrup is attached to the horse by a circumferential or semi-circumferential strap passing beneath the horse such as the girth strap, or directly to the saddle, such that the system resists upward displacement of the inverse stirrup.