Abstract: A damping element for attenuating hydraulic pressure pulses is integrated into a hydraulic chamber of a motor vehicle hydraulic system. The damping element includes a end cap support body and a membrane that fits over a portion of the support body. The membrane has a first side facing towards a source of hydraulic fluid and a second side facing away from the hydraulic fluid source. At least one space is provided between the second side of the membrane and the end cap support body to allow for deformation of the membrane under hydraulic pressure. The membrane has a collar with a lip seal provided for fitting into place on the wall of the hydraulic chamber. At least one second space for receiving hydraulic fluid is defined between the lip seal and a region of the membrane opposite the lip seal.