Rocket Based Combined Cycle (RBCC) engine is considered to use the hydrocarbon fuel. Endothermic fuel and surrogate fuel of Jet A are including various hydrocarbon fuel and chemical reaction is complicated. It is necessary to investigate the ignition characteristics due to the difference in the mixing ratio of the hydrocarbon fuel mixture gas. However, there are few studies on ignition characteristics at different mixing ratios. In this study, the research was carried out to analyze the ignition delay time of hydrocarbon mixture gas that was the methane/ethylene mixture gas by using analysis of zero-dimensional chemical reaction. In the case of larger ethylene ratio than 50[%], ethylene fraction had little effect on ignition delay time. It could be inferred that these may be caused by C2H4+OH=C2H3+H2O. Because, in the case of high ethylene rate, easily H atoms abstraction reaction from ethylene and to fast formation rate of H2O.