In this work a fixed bed column was used to study the adsorption capability of Jordanian natural zeolite for capturing hydrogen sulfide (H2S) gas. The effect of pressure, inlet concentration, and zeolite particles size was study, and the breakthrough curves were obtained. The results indicate that Jordanian natural zeolite is an effective material for capturing H2S gas at a pressure around 5 atm or more and the adsorption capacity is comparable to commercial zeolite. At a pressure of 6atm or more, the saturation adsorption capacity of zeolite is about 0.24 g H2S/ g zeolite. For pressure more than 6atm the adsorption capacity remains almost the same, and therefore, 6 atm is the suitable operating pressure for Jordanian natural zeolite to capture H2S.