Abstract: The liquid flow valve of the present invention is a one-way shock-absorbing valve specifically designed to dampen noise and vibrations, and exhibiting improved durability and utility. The valve comprises a housing defining a passageway extending longitudinally therethrough and a shoulder extending into the passageway. It also includes a valve element housing a main body defining a central longitudinal conduit and also having an expanded seat. The element is slideably disposed in the passageway for movement between a valve-closed seated position on the shoulder and a valve-open unseated position. The valve element features a bellows connected to the main body to seal the conduit. The bellows elongated, that is, unfolds in response to liquid back pressure directed upstream and thus dampens shocks and knocking which otherwise would occur. The bellows comprises readily moveable durable components and may be disposed in the conduit and/or extend from an end of the valve element main body.