A catalyst is described for hydrogenation of unsaturated hydrocarbons, containing catalytically active amounts of Pd and optionally Ag in a support. The catalyst is characterized by the fact that the support represents a shaped body with a trilobal cross section, the lobes being provided with continuous openings. The catalysts can be produced according to a method, in which the support is impregnated with a solution of salts of Pd and optionally Ag. These salts are reduced by means of a reducing agent, whereupon the support so impregnated is washed, dried and calcined and, if reduction is not complete, the still present oxides of Pd and Ag are reduced to the corresponding metals in a hydrogen-containing atmosphere.