An elevator comprising - an elevator car and a counterweight, - a first roping between the elevator car and counterweight suspending the elevator car and the counterweight and comprising at least one rope, - a second roping between the elevator car and counterweight suspended to hang from the elevator car and counterweight and comprising at least one belt-like rope (7-7""), and - a rope wheel arrangement, having at least one rope wheel, around which said at least one rope (7-7"") of the second roping passes, wherein the longitudinal force transmission capability of said at least one rope (7-7"") of the second roping is based essentially on non-metallic fibers (f), characterized in that said at least one rope (7-7"") of the second roping is a belt-like rope (7-7"") having at least one contoured side provided with guide rib(s) and/or guide groove(s) oriented in the longitudinal direction of the rope (7-7""), said side being fitted to pass against a contoured circumference (12-12"") of a rope wheel of said rope wheel arrangement, said circumference being provided with guide rib(s) and/or guide groove(s) so that said contoured circumference (12-12"") forms a counterpart for said contoured side of the rope (7-7""), each of said rope(s) (7-7"") of the second roping comprising a force transmission part or a plurality of force transmission parts for transmitting force in the longitudinal direction of the rope, which force transmission part is made of composite material, said composite material comprising non-metallic reinforcing fibers (f) in a polymer matrix (m), and in that the rope wheel arrangement is arranged to exert with said at least one rope wheel a tensioning force on the rope (7-7""), and in that the elevator comprises means for blocking radially directed movement of said at least one rope wheel, and in that said at least one rope wheel is mounted such that it can move in its radial direction at most an amount of a certain margin of movement. - an elevator car and a counterweight, - a first roping between the elevator car and counterweight suspending the elevator car and the counterweight and comprising at least one rope, - a second roping between the elevator car and counterweight suspended to hang from the elevator car and counterweight and comprising at least one belt-like rope (7-7""), and - a rope wheel arrangement, having at least one rope wheel, around which said at least one rope (7-7"") of the second roping passes, wherein the longitudinal force transmission capability of said at least one rope (7-7"") of the second roping is based essentially on non-metallic fibers (f), characterized in that said at least one rope (7-7"") of the second roping is a belt-like rope (7-7"") having at least one contoured side provided with guide rib(s) and/or guide groove(s) oriented in the longitudinal direction of the rope (7-7""), said side being fitted to pass against a contoured circumference (12-12"") of a rope wheel of said rope wheel arrangement, said circumference being provided with guide rib(s) and/or guide groove(s) so that said contoured circumference (12-12"") forms a counterpart for said contoured side of the rope (7-7""), each of said rope(s) (7-7"") of the second roping comprising a force transmission part or a plurality of force transmission parts for transmitting force in the longitudinal direction of the rope, which force transmission part is made of composite material, said composite material comprising non-metallic reinforcing fibers (f) in a polymer matrix (m), and in that the rope wheel arrangement is arranged to exert with said at least one rope wheel a tensioning force on the rope (7-7""), and in that the elevator comprises means for blocking radially directed movement of said at least one rope wheel, and in that said at least one rope wheel is mounted such that it can move in its radial direction at most an amount of a certain margin of movement.