This contribution proposes the modeling and validating results of a CO2 packed bed absorber operating with 2-Amino 2-Methyl Propanol (AMP). The rate-base model presented in this work considers mass transfer, heat of absorption and evaporation, solubility of CO2 inside the amin solution, absortion reaction, enhancement facror, thermodynamic equilibrium, and mass diffusion resistances in gas and liquid interface. All differential and algebric equations of the mathematical model are implemented in the MATLAB program, and they are solved numerically as a boundary value problem using the corresponding MATLAB function. Then, the proposed model is validated against both the experimental and modeling results gathered from the literature. The results obtained by the presented model in this research are in good agreement with the pilot plant data, and it can predict the mole fraction of CO2 in gas phase, liquid temperature and CO2 loading with the AAD% of 8.46, 2.47 and 12.33, respectively. Moreover, in comparison with the results of the other proposed model in the literature, the AAD% of the predicted CO2 mole fraction in the gas phase and temperatue of the liquid decrease to the extent of 13.094% and 5.56%, respectively.