A support element system, particularly for elevators, has at least one support element having two load-bearing tensile carriers which are arranged horizontally adjacent to one another and which are enclosed in a common elastomeric casing separating the two tensile carriers. The tensile carriers respectively have an opposite direction of wrap. The system has a drive pulley for transmission of a drive force to the at least one support element, wherein the drive pulley has a contoured traction surface with two support surfaces, which are provided for transmission of the drive force and which co-operate with the support element.