Training equipment includes a punch bag suspended on a tensioned flexible resilient suspension cord between two vertically spaced apart fixed points, such as an overhead point and the floor. A pair of stop members limits sliding movement of the punch ball along the suspension cord. A bounce member is secured between the stop member(s) and the punch ball to impart unpredictability to the movement of the punch ball during horizontal and vertical displacement of the ball following a punch or a kick by a trainee.