The invention relates to a method for producing an amine by reacting a primary or secondary alcohol, aldehyde and/or ketone with hydrogen and a nitrogen compound, selected from the group comprising ammonia, primary and secondary amines, in the presence of a zirconium dioxide-containing catalyst and a nickel-containing catalyst. The invention is characterised in that the catalytically active weight of the catalyst, prior to reduction with hydrogen, contains oxygen-containing compounds of zirconium, copper, nickel and cobalt and oxygen-containing compounds of one or more metals, selected from Pb, Bi, Sn, Sb and In.