A long-life high-pressure discharge lamp can (i) suppress damage to sealing portions, especially at an initial stage of the accumulated lighting time, (ii) allow for easy assembly of components such as electrodes and (iii) prevent deformation/ripping of metallic foils. An arc tube is a glass enveloping vessel with electrodes arranged therein, and includes: a light emitting portion in which materials are enclosed and a discharge space is formed; and sealing portions provided at ends of the light emitting portion. Each electrode includes an electrode bar whose first end is in the discharge space, and whose second end is in the corresponding sealing portion and connected to a metallic foil. The second end of each electrode bar is partially wrapped around by a sleeve-like metallic cover foil that has a cut-out section positioned over a joining area where the second end of each electrode bar is joined to the metallic foil.