Abstract: In such an arrangement a faultless clamping of the rope in the traction sheave is necessary. For that purpose two-piece traction sheaves are known whose sheave halves can be pressed together. Further, seat grooves are known wherein the ropes are radially pressed down into the seat grooves. In the so-called V-shaped grooves clamping of the ropes takes place by means of counterweights at the unloaded rope ends. Disadvantages of the known types of construction are unnecessary loads, considerable wear, high weights, bulky arrangements and poor efficiency. For doing away with these disadvantages, two sheaves halves 7, 14 are now mounted parallel to one another and are provided with a common peripheral V-shaped groove. The sheave halves 7, 14 are spring-loaded pressed together and at the periphery of the V-shaped rope groove, rope-supporting elements 20 are fixedly mounted. Thereby a simple construction is achieved, safety has increased and the operation is simplified by requiring no maintenance.