A high pressure discharge lamp comprises a pair of electrodes that face each other in an electric discharge container, wherein an electrode axis of each electrode is buried in a sealing portion, each electrode axis is joined to a metallic foil, two or more grooves are formed in an axis direction on a portion of the electrode axis, which corresponds to the sealing portion, an upper shoulder portion of each groove is formed in a shape of a curved surface, a diameter of the electrode axis is 0.3 mm to 1 mm, and a curvature radius of the curved surface upper shoulder portion is 5 μm-50 μm.