Abstract: In order to effectively predict the dynamic response of fuel cell under different operating conditions,the output voltage and temperature were investigated. Firstly,the output voltage model of Proton Exchange Membrane Fuel Cell（PEMFC） stack was established based on empirical formulas and experimental data. The parameters of the model are determined by genetic algorithm. Then,the stack temperature model was established by the fuel cell heat balance equation. The air heat transfer coefficient of the heat loss equation in the model was controlled by PID controller and digitally simulated. A 1 kW stack system with an auxiliary cooling fan was built to verify the output voltage and temperature model. The average error of output voltage is 0.45 V and the average error of output temperature is 0.6℃. The results show that the output voltage model and temperature model can effectively predict the output voltage and temperature of the stack respectively. The stack temperature model can be applied to the research of stack performance and auxiliary system control during low temperature start-up of PEMFC.