A cable transportation system extends along a track and has two haul cables driven respectively by respective motors and having respective mutually aligned end portions; a vehicle with two clamping devices configured to attach the vehicle to the haul cables; a passenger station at the end sections of the haul cables; two control cams arranged respectively at the end sections of the haul cables; and two actuators configured to bring the control cams into an operating position to open the clamping devices and into a resting position in which they do not interfere with the clamping devices, the control cams being spaced apart by a distance equal to the distance between the clamping devices in such a way that when the clamping device is at the control cam, the clamping device is at the control cam.