A high-pressure discharge lamp includes a bulb that is made from glass in which a discharge space has been formed and a pair of electrode assemblies that are sealed in the end portions of this bulb. The electrode assemblies are each provided with an electrode rod for electrical discharge, and the electrode assemblies are sealed in the bulb with one part of each electrode rod extending into the discharge space. The part of each electrode assembly that is sealed in the bulb is in turn enclosed in an intermediate part. This intermediate part has a thermal expansion coefficient that is between the thermal expansion coefficient of the electrode rod and the thermal expansion coefficient of the bulb, is interposed between the electrode assembly and the bulb, and adheres to both the electrode assembly and the bulb.