In this study, a mathematical model has been developed for a catalytic membrane reactor system (CMRS) including catalytic membrane reactor (CMR), catalytic combustor (CC), feed preheater (FP) and air preheater (AP). Both bulk conduction and film convection are considered in the energy balances between CC and CMR, FP or AP to improve the feasibility and accuracy of the computer simulation. Simulation results reveal that the film convection dominates the heat transfer between the combustor and the rest of the reactor system. By adjusting the density profiles of the reaction and combustion catalysts, the reactor temperature can be maintained at the desired value between 300℃ and 375℃. However, a large temperature difference exists between the combustor and reactor, due to the large film heat transfer resistance. Results of computer simulation show that hydrogen yield can be over 70% without external heat source.