An embodiment of the present disclosure provides a welding fixture, including: a base; a supporter; a fixing device arranged to fix a member to be welded on the supporter; and a damping hinge which includes a first hinge plate, a second hinge plate and a pivot, the first hinge plate being fixed to the base, the second hinge plate being fixed to the supporter, wherein each of the first hinge plate and the second hinge plate has a pivot hole and is connected to the pivot via the pivot hole, and wherein the pivot is fitted into the pivot hole of each of the first hinge plate and the second hinge plate by interference. An embodiment of the present disclosure provides a welding method using the welding fixture.