Provided is a short arc discharge lamp that includes: a body including therein a reflection surface and having a front opening; a cathode and an anode opposed to each other in discharge space defined by the reflection surface surrounding the discharge space; a window member provided in front of the body and covering the front opening; and a window supporting member including an inner ring section, an outer ring section, and a coupling section. The inner ring section is configured to allow a circumferential side surface of the window member to be fixed thereto, the outer ring section is larger in diameter than the inner ring section, and the coupling section connects the inner ring section and the outer ring section together. The inner ring section includes, in front of the window member, a front edge section having a shape bent in a radial direction of the window member.