In this study, an arc numerical simulation model of xenon short arc lamp was developed by modifying numerical simulation model of free burning arc. The influence of the difference in the filling gas pressure on the energy consumed by the lamp voltage, current and gas radiation was investigated. It became clear that the radiation power of the xenon arc lamp strongly depends on the filling gas pressure. Furthermore, when the lamp is turned on with constant power, the radiation efficiency is determined by the balance between the radiation power density and the high temperature arc volume, and as a result, it is clear that the maximum value exists of the radiation power fraction.