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In this paper, a steady state power model of a fuel cell stack is developed based on the polarization curve, meanwhile on the basis of experimental results, a parasite system power model is developed by fitting the experimental data with quadratic polynomial. On the basis of the fuel cell stack model and the parasite system model, a fuel cell engine (FCE) power model is developed. These three models (stack power model, parasite system power model, FCE power model) developed in this paper are all verified by test data. The results show that these models can predict the system steady state performance respectively. The advantages of these models are high precision, simple structure and less parameters, etc. The parameters of these models can be easily obtained from test data. They can be applied to the study of vehicle dynamics simulation.