A process for the preparation of a multi-layer coating wherein a colour- and/or special effect-imparting base lacquer coating compound is applied to a substrate optionally precoated with a primer and/or primer surfacer coating compound and/or further coating compounds and a clear lacquer layer is then applied to the colour- and/or special effect-imparting base lacquer layer, wherein the colour- and/or special effect-imparting base lacquer coating compound used is one which contains binders which can be cured by free-radical and/or cationic polymerisation under the action of high-energy radiation.