A container conveying system for transporting baggage items in containers has at least one unloading station and/or a loading station for loading or unloading the container. The baggage item lies on an endless supporting belt which is guided transversely to the transporting direction of the container so as to be drivable about a deflection roller arranged on both sides of the container, wherein, for driving in the region of the loading and/or unloading station, a stationary drive is provided which is in operative connection during the loading and/or unloading operation with a drive element for the supporting belt that is provided on the container. In order to provide a drive design which is low-wear and guarantees a high degree of availability of the system, which minimizes the maintenance intervals and which represents a cost-effective alternative to prior solutions, it is proposed that in each case at least one planar field winding for generating an electric traveling field is installed as a stationary drive for the supporting belt in defined path segments. The field contactlessly drives an endlessly circulating runner element which is arranged on the container and which in turn is coupled in terms of gearing to the supporting belt.