This work provides a series of methane adsorption isotherms and breakthrough curves on one 5A zeolite and one activated carbon. Breakthrough curves of CH4 were obtained from dynamic column measurements at different temperature and pressure conditions for concentrations of 4.4 – 17.3 mol.‐% in H2/CH4 mixtures. A simple model was developed to simulate the curves using measured and calculated data inputs. The results show that the model predictions agree very well with the experiments. Breakthrough curves of methane were measured on 5A zeolite and activated carbon at different operating conditions. A simple mathematical model was used to simulate the dynamic behavior of the adsorbent bed using inputs of previously measured adsorption isotherms, heat of adsorption and physical properties evaluated according to literature reports.