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 and nickel-containing catalyst. The catalytically active mass of the catalyst, prior to its reduction with hydrogen, contains oxygen-containing compounds of zirconium, copper, nickel and cobalt and 5.5 to 12 wt% of oxygen-containing compounds of molybdenum, calculated as MoO3.