The high-pressure discharge lamp includes: an arc tube; sealing portions which respectively have preseal glasses embedded therein, and at least one of which has an inert gas enclosing space which is arranged so as to be in contact with an outer surface of a corresponding the one preseal glass; a pair of feeders including a pair of electrodes, external lead rods, and metal foils, respectively; an external conductor which is arranged on an outer surface of the one sealing portion so as to be corresponded to the inert gas enclosed space, and connected to the external lead rod from the other sealing portion; and an internal conductor which is arranged in the inert gas enclosing space in the one sealing portion, and which has an electric potential identical to that of one feeder corresponding to the one sealing portion around which the external conductor is arranged.