A plate-link chain for a belt-driven conical-pulley transmission having a continuously variable transmission ratio and having a large number of link plates pivotally connected with each other via pairs of rocker members that each includes two rocker members. The rocker members extend transversely to the longitudinal direction of the plate-link chain and are positioned in openings in the link plates. Curved contact surfaces are provided on the rocker members and on the link plate openings, along which curved surfaces of the rocker members and link plates bear against each other to transmit force. Curved rolling surfaces are provided on the rocker members, along which contacting rocker members of a rocker member pair roll against each other and/or slide on each other on pitch lines to transmit force. The link plate openings have at least three inwardly extending, convexly curved regions.