A counterweight and an elevator car are suspended on a set of hoisting ropes. The elevator comprises one or more rope pulleys provided with rope grooves, one of said pulleys being a traction sheave driven by a drive machine and moving the set of hoisting ropes. At least one of the rope pulleys has against the hoisting rope a coating adhesively bonded to the rope pulley and containing the rope grooves, said coating having an elasticity that is greater in the edge portions of the rope groove than at the bottom of the rope groove. In a preferred solution, the traction sheave is a rope pulley like this.