An engine mount with hydraulic damping for motor vehicles which has at least two chambers, which are provided with at least partially elastically deformable walls in a housing and are filled with a damping fluid. A common valve plate is between the chambers. An uncoupling membrane of an elastic material is arranged in a cage structure with openings. The edge of the uncoupling membrane is inserted radially movably with a gentle pretension or clamping force in a recess between two disks of the valve plate, which are designed as a cage, wherein at least one of these openings is continued radially to the edge of the uncoupling membrane.