Comparative adsorption of methane and carbon dioxide on activated carbon and ZIF-8 (Zeolitic Imidazolate Framework) at 35 °C and up to 100 psi was made. In addition, different ratios of polyvinylidene fluoride (PVDF) with ZIF-8 were also investigated. The textural properties of adsorbents were analyzed by X-ray diffraction (XRD), scanning electron microscope (SEM), and Quantachrom/Autosorb1-MP. All adsorbents were microporous materials. ZIF-8 has uniform crystalline structure, which is different from the amorphous structure of activated carbon. The result showed the increase in the methane and carbon dioxide adsorption when the pressure increased. ZIF-8 (pure) showed higher methane and carbon dioxide adsorption capacity than the activated carbon corresponding to its surface area, micropore volume, and average pore diameter. The addition of PVDF decreased the methane uptake. Furthermore, ZIF-8 (pure) and activated carbon adsorbed carbon dioxide more than methane, approximately twice due to its preferential adsorption towards carbon dioxide.