In this research, a mathematical model based on the finite volume analysis is proposed to simulate the flow and concentration in a hollow fiber Polytetrafluoroethylene (PTFE) membrane contactor for CO2. To develop this model, the membrane contactor is divided into three parts including the tube, shell and membrane. Then, to validate and test the model, the obtained results are compared with the experimental data reported in open literature. It is confirmed that the simulation results are in good agreement with the actual data. Moreover, by considering the mass transfer resistances in studied system, it is found that the gas phase mass transfer resistance in gas stripping membranes has a minor effect on the CO2 desorption flux.