The invention relates to a method for the continuous production of 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, and primary and secondary amines, at a temperature of between 60 and 300°C, in the presence of a catalyst containing copper and aluminium oxide, wherein the reaction takes place in the gas phase and the catalytically active mass of the catalyst before the reduction thereof with hydrogen contains between 20 and 75 wt. % of aluminium oxide (AI
2 O
3 ), between 20 and 75 wt. % of oxygen-containing compounds of copper, as CuO, between 0 and 2 wt. % of oxygen-containing compounds of sodium, as Na
2 O, and less than 5 wt. % of oxygen-containing compounds of nickel, as NiO. The catalyst moulded body has a tablet shape with a diameter of between 1 and 4 mm and a height of between 1 and 4 mm.