Abstract: A nocking system for use in archery includes a plastic nock element at the end of an arrow and a plastic nocking member carried on a bowstring to cooperate with the nock element when the arrow is shot. The nock element has a spherically concave receptacle between a pair of nock wings. The nocking member is spherically convex and fits into the receptacle. Such an arrangement permits the nock element and the nocking member to rotate relative to one another in any direction, which improves accuracy when the arrow is shot while protecting the bowstring from wear. The nocking member may be a ball with a central bore which is threaded so that the archer can screw the ball to a desired position on a nocking region of the bowstring, the bowstring having a yarn winding at the nocking region. The nocking member may also be two ball-halves that are joined together at the nocking region between two yarn windings. The nocking wings of the nock element have tabs which grip the ball.