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. <EOS>