An elevator, which comprises a hoistway; an elevator car vertically movable in the hoistway; a balancing weight vertically movable in the hoistway; a first roping comprising one or more belt-shaped first ropes (r) interconnecting the elevator car and the balancing weight, each of said one or more ropes (r) passing around one or more first rope wheels mounted in proximity of the upper end of the hoistway, each of said one or more belt-shaped first ropes (r) being untoothed and comprising one or more load-bearing members (c), each of which load-bearing members (c) are made of composite material comprising reinforcing fibers embedded in a polymer matrix (m), each of said one or more belt-shaped first ropes (r) having at least one contoured side provided with guide rib(s) and guide groove(s) oriented in the longitudinal direction of the rope (r), said contoured side being fitted to pass against a contoured circumference of the one or more first rope wheels said circumference being provided with guide rib(s) and guide groove(s) so that said contoured circumference forms a counterpart for said contoured side(s) of the first rope(s) (r).; a second roping comprising one or more toothed belt-shaped second ropes interconnecting the elevator car and the balancing weight, each passing around one or more second rope wheels (6,7) mounted in proximity of the lower end of the hoistway, each of said one or more second ropes comprising one or more load-bearing members, each of which load-bearing members are made of composite material comprising reinforcing fibers embedded in a polymer matrix (m), load-bearing member(s) of each second rope being embedded in a coating (p) made of elastomer and forming the outer surface of the second rope and having a toothed shape, thereby forming teeth of the toothed belt-shaped second rope; said one or more second rope wheels (6,7) comprising a toothed drive wheel engaging said one or more toothed belt-shaped second ropes; and a motor for rotating the drive wheel. a hoistway; an elevator car vertically movable in the hoistway; a balancing weight vertically movable in the hoistway; a first roping comprising one or more belt-shaped first ropes (r) interconnecting the elevator car and the balancing weight, each of said one or more ropes (r) passing around one or more first rope wheels mounted in proximity of the upper end of the hoistway, each of said one or more belt-shaped first ropes (r) being untoothed and comprising one or more load-bearing members (c), each of which load-bearing members (c) are made of composite material comprising reinforcing fibers embedded in a polymer matrix (m), each of said one or more belt-shaped first ropes (r) having at least one contoured side provided with guide rib(s) and guide groove(s) oriented in the longitudinal direction of the rope (r), said contoured side being fitted to pass against a contoured circumference of the one or more first rope wheels said circumference being provided with guide rib(s) and guide groove(s) so that said contoured circumference forms a counterpart for said contoured side(s) of the first rope(s) (r).; a second roping comprising one or more toothed belt-shaped second ropes interconnecting the elevator car and the balancing weight, each passing around one or more second rope wheels (6,7) mounted in proximity of the lower end of the hoistway, each of said one or more second ropes comprising one or more load-bearing members, each of which load-bearing members are made of composite material comprising reinforcing fibers embedded in a polymer matrix (m), load-bearing member(s) of each second rope being embedded in a coating (p) made of elastomer and forming the outer surface of the second rope and having a toothed shape, thereby forming teeth of the toothed belt-shaped second rope; said one or more second rope wheels (6,7) comprising a toothed drive wheel engaging said one or more toothed belt-shaped second ropes; and a motor for rotating the drive wheel.