To stabilize the illumination fluctuation rate of a short arc type discharge lamp of the type having a pair of electrodes disposed inside an arc tube in a manner of facing each other and a hydrogen getter, by absorbing hydrogen gas in an arc tube without causing a decline in the performance of the short arc type discharge lamp arising out of a hydrogen getter, the hydrogen getter is formed of a hollow container made of a material that allows the transmission of hydrogen with a getter material sealed tightly inside the hollow container, and a holder for the hydrogen getter is held on the electrode with the hydrogen getter fixed in the holder.