Abstract: Part of new generation reactors are widely using passive containment cooling system (PCCS) in order to export the decay heat and maintain the integrity of the containment under long term post accidents. During the steam condensation, the presence of non-condensable gases (air/hydrogen) is an important issue affecting the efficiency of the whole thermodynamic process. For this reason, many researchers have investigated it by theoretical or experimental methods. In this paper, the review of steam condensation with non-condensable gases under nuclear plant accident was made. By the depth and comprehensive analysis of the heat transfer process, specific comments were proposed aimed at enhancing the thermal-hydraulic research foundation of steam condensation under nuclear power plant containment cooling system condition.