A process for the selective oxidation of hydrogen sulphide in a hydrogen sulphide containing feed gas to elemental sulphur, wherein the hydrogen sulphide containing feed gas (3), an inert liquid medium (5), and a molecular-oxygen containing gas (4) are supplied to a reaction zone (1) comprising at least one catalytic zone (2) comprising an oxidation catalyst to form elemental sulphur and a gaseous stream depleted in hydrogen sulphide (8), in which process the oxidation catalyst of each catalytic zone (2) is contacted with hydrogen sulphide and/or molecular-oxygen in the presence of inert liquid medium at a temperature in the range of from 120 to 160° C., under such conditions that the elemental sulphur formed is essentially in liquid form and is removed from the reaction zone with the inert liquid medium.