A ceramic discharge lamp in which an electric discharge gas is enclosed in an arc tube which is made up of a ceramic member and a metal member. The ceramic discharge lamp includes a first brazing material, which is formed so as to be fixed on a surface of the ceramic member without being covered with the metal member; a titanium layer, which is formed between the first brazing material and the ceramic member; and a second brazing material, which is continuously formed from the first brazing member, that covers part of the metal member so that the ceramic member and the metal member are airtightly joined to each other.