Under high temperature combusting environment, very high level of thermal NOx is generated. In order to prevent environmental problems and pursue more power generation efficiency, we need to investigate the ability of our numerical prediction method in a practical combustor system. We predict time-averaged temperature in the 1300degC class gas-turbine combustor that is a commercial model fabricated by Kawasaki Heavy Industries, Ltd. The results show LES and 2-scalar Flamelet approach is effective to predict phenomena in practical gas-turbine combustor.