In this work the CO2 separation of the air was simulated. The process considered for CO2 removal was a hollow-fiber membrane contactor and an aqueous solution of 2-amino-2-methyl-1-propanol (AMP) as an absorbent. The model was developed on the basis of mass transfer as well as the chemical reaction of CO2 and solvent in the contactor. The equations of the model were solved using the finite element method. The results of the simulation were compared with the experimental data and a good agreement was observed. The results revealed that increasing the solvent velocity increases the removal of CO2 in the hollow fiber membrane contactor. In addition, it was found that the countercurrent process mode is more favorable to achieve maximum separation efficiency.