  We report on results of a search for the decay mode K_L -> pi^0 gamma e^+ e^-
conducted by the E162 experiment at KEK. We observed no events and set a 90%
confidence level upper limit of Br(K_L -> pi^0 gamma e^+ e^-)< 7.1x10^{-7} for
its branching ratio. This is the first published experimental result on this
decay mode.
