Disclosed herein an excimer discharge lamp that is capable of mitigating a stress concentration occurring due to a fixing method of an outer electrode, and achieving a desired life of lamp in an ensured manner. The excimer discharge lamp comprises: an arc tube for enclosing a luminous gas inside and having a sealing portion formed contiguous to, via a reduced diameter portion, one end of a tube shaped luminous portion; and an outer electrode of a net-like shape arranged on an outer peripheral surface of the art tube. The one end of the outer electrode being fixed via an outer electrode fixing member provided on an outer surface of the sealing portion.