Results of the analysis of a catalytic membrane reactor for the water gas shift (WGS) reaction are presented and discussed using CFD (computational fluid dynamics) technique. Reaction kinetic expressions were researched, and Langmuir-Hinshelwood kinetic’s expression gives the best result. The optimal operation temperature was found out to be 630K. A CFD module for the palladium (Pd) membrane, separating hydrogen, was also developed, simulated and compared to the references. It easily simulates the effects of the reaction temperature, pressure, sweep gas flow rate, sweep gas flow direction and palladium membrane thickness on the CO conversion of the catalytic membrane reactor. Results of the analysis are very useful in the commercialization of the hydrogen-generation process, and the developed simulation framework is easily adaptable for further design and modification when more detailed profiles are necessary.