A metal halide lamp and a method for making the same, in which one end of each electrode projects into a discharge chamber to form a light-emitting portion and the other end thereof is supported by a pinch-sealed portion. A coil is wound around at least the pinch-sealed portion of the electrode to absorb gaseous impurities caused by the heat generated during the operation of the metal halide lamp and to prevent cracking, at the pinch-sealed portion, of bulb. A coil, made of high melting point material and gaseous impurities absorption material, is wound around at least the pinch-sealed portion of the electrode and the combination is disposed into the bulb. The diameter of the coil, the internal diameter of a circle made by the coil, and the pitch of the coil are fixed within specific values in connection with the diameter of the electrode.