Flash discharge lamp having an arc tube in which there is a pair of opposed electrodes, a rod-shaped trigger electrode which runs along the outside surface of the arc tube in its lengthwise direction; and a sealed tubular body which jackets the trigger electrode and has a hermetically sealed arrangement containing a metal foil. The trigger electrode has a recessed part on its surface in the vicinity of the metal foil and the recessed part is at least partially filled with the material of which the sealed tubular body is formed.