A process for the hydrodesulfurization of cracked olefin streams is described, the process aiming at reducing the sulfur content while at the same time minimizing the hydrogenation degree of said olefins. In order to dilute the added reaction hydrogen, the process makes use of non-reactive compounds such as N.sub.2, CH.sub.4, C.sub.2H.sub.6, C.sub.3H.sub.8, C.sub.4H.sub.10, Group VIII noble gases as well as admixtures of same in any amount, in gas or vapor phase.