An elevator includes a hoistway, an elevator car and a counterweight vertically movable in the hoistway, a drive machine including a drive sheave, a roping including one or more ropes between the elevator car and the counterweight and passing around the drive sheave and suspending the elevator car and the counterweight. The drive sheave is positioned in the hoistway space between a hoistway wall and the vertical projection of the car, the drive sheave rotation plane being at least substantially parallel to the hoistway wall. The rope(s) is/are belt-like, each including at least one force transmission parts for transmitting force in the longitudinal direction of the rope, which force transmission part is made of composite material including reinforcing fibers in a polymer matrix. The reinforcing fibers are carbon fibers, and the force transmission part has width larger than thickness thereof as measured in width-direction of the rope.