A traction system includes a composite rope (1), especially for an elevator. The composite rope (1) is driveable by a traction sheave (6). The traction system has a composite rope that is easy to handle, whereby high traction forces can be transferred, and the composite rope enables a narrower drive unit than known belt technology. To this end, the composite rope has parallel individual tension members (4) surrounded by an elastomer material which are interconnected by an elastomer connecting layer (5) on one side, and the tension members (4) engage in corresponding grooves (7) of the traction sheave (6). The penetration depth of the individual ropes (2) of the tension members (4) in the grooves of the traction sheave (6) is at least 25% of the diameter (d) of the individual ropes (2).