A bearing arrangement of a rear axle transmission case of a motor vehicle has a member frame having one respective linking at both ends of the transmission case situated in the driving direction which acts elastically in at least one direction. I order to have a softer construction with respect to its elasticity in the driving direction than in all other directions. The bearing takes place at least on one of the two ends of the transmission case exclusively by way of at least one lever which can be swivelled in a plane in parallel with respect to the vertical and longitudinal axis of the vehicle and which is linked in the direction of the vertical vehicle axis in mutually spaced positions to the transmission case and in the member frame. In this case at least the bearing arrangement of the lever in the member frame is implemented by means of at least one elastic bearing.