The invention discloses a test device for the conduit burst pressure under static conditions and a working method thereof and belongs to the technical field of medical apparatus detection. The test device includes a body, wherein the body is internally provided with a pressure device container, one end of the pressure device container is in sliding connection with a liquid push device, the other end of the pressure device container is provided with a liquid inlet and a liquid outlet, the liquid outlet is communicated with a conduit interface, a ball screw transmission mechanism is formed between the liquid push device and a driving device, one end opposite to the driving device is provided with a constant temperature water bath tank and a water pipeline, a liquid outlet pipe is internallyprovided with a pressure sensor, the driving device is provided with a controller, and the pressure sensor is connected with a controller of the driving device. The invention further discloses the working method of the test device. The test device is advantaged in that the fluid with the stable rate is supplied into the conduit, the conduit is guaranteed to be in the constant temperature environment, and test requirement in accord with the industrial standards is met.