Process for the selective hydrogenation of polyunsaturated compounds with a metallic catalyst. The selectivity is increased and trans-isomerization is decreased by carrying out the hydrogenation in the presence of a catalyst to which, before the hydrogenation is started, an external potential, differing from the naturally occuring equilibrium potential, is applied while in contact with an electrolyte, such as a quaternary ammonium salt, dissolved in a liquid, such as an alcohol or a ketone.