Adsorptive storage of CO2 in a fixed bed is studied numerically. The simulation of an adsorption process of CO2 on a fixed bed has been carried out to evaluate the capacity of metal-organic framework novel materials (MOF-5 also known as IRMOF1) for CO2 storage with varying feed gas pressure up to 50 bar and ambient temperature. We also have presented similar studies for activated carbon bed. The adsorption model has been validated by testing it against experimental data for adsorption storage characteristics of hydrogen on activated carbon. The mathematical model used to carry out the numerical simulations is a one-dimensional transient model accounting for mass, momentum, species, and energy transport including mass transfer and empirically based adsorption models. The developed model has been coded in matlab to carry out the presented simulations.