Natural gas is a fossil fuel whose participation in the world's energy matrix has been growing, but before becoming marketable, it has to undergo some treatments to eliminate corrosive compounds. Such treatments focus, mainly, on removing hydrogen sulphide (H2S) and carbon dioxide (CO2) with adsorption being one of the recommended techniques for removal. The presence of H2S in the gas stream can lead to serious problems of corrosion and deposition of elemental sulfur. Its burning can also result in environmental and health problems. In this work, we evaluated the influence of operating parameters (bed length, feed flow of the adsorption column, adsorbate concentration in the gas stream, pressure, and temperature) on the removal of H2S from a gas stream, and to this end, we employed a factorial design, which resulted in the simulation of different cases by modifying the above-cited parameters. To execute the simulations, we used Comsol Multiphysics 4.3a, a computational fluid dynamics software, and processed the results using Statistica 8.0. The results showed that at the significance level of 95%, only pressure and temperature were statistically significant parameters. Moreover, we observed that an increase in pressure favors the adsorption, while for the temperature, the opposite process occurs.