The present invention provides a short arc typed discharge lamp which is provided with a hydrogen getter which is obtained through packaging hydrogen absorbing getter material that absorbs hydrogen in a tight-closed hollow container with hydrogen permeability. The short arc typed discharge lamp has a structure that the hollow container is easily equipped to an electrode shaft. Wave-like recesses are formed at an inner surface of the hollow container of the hydrogen getter, where the inner surface lies opposite to the electrode shaft. The hydrogen getter is bent to an annular shape or a coil shape and is equipped to the periphery of the electrode shaft.