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Two different combustion models, the autoignition （AI） model and flamelet/progress variable （FPV） model, have been applied to study the auto-ignition process of methane/air jet flame in vitiated co-flow. A priori study was conducted to test the validity of the two models. Results show that the different range of predicted reaction rates is mainly responsible for their different performances in large eddy simulation （LES） studies. In this paper, beta PDF was used to model the mixture fraction distribu- tion, while two different shapes of PDF, delta function and beta function, were applied for the reaction progress. Compared to the FPV model, the AI model combined with beta function for reaction progress could capture the auto-ignition process and predict the exact lifted height. Also the results indicate that the variance of reaction progress plays an important role in pre- dicting the flame lifted height.