A cableway installation has a suspension and hauling cable with transport devices such as cableway gondolas, lift chair, or the like, which are capable of being disconnected from the suspension and hauling cable in the stations. There, they are conveyed along guide rails through the stations and subsequently reconnected to the suspension and hauling cable. The transport devices can be caused to rotate in relation to the suspension rods about an approximately vertical axis by way of a turntable drive unit. A detector device is disposed in the entry area to the stations, by way of which the rotational position of the transport devices is monitored as they enter the stations and switching-off of the cableway gondola installation is occasioned in the event that a preset value for the rotational position is exceeded.