Abstract: The method of applying plastic material or layers containing plastic material onto metallic components is effected such that a) the components are brought in contact with a solution or dispersion containing 5 to 50 wt-% organic polymer, b) the solution or dispersion is dried on, c) the components are brought in contact with a qualitatively substantially identical solution or dispersion in accordance with stage a), which only contains 0.5 to 5 wt-% organic polymer, and d) are finally dried. Preferably, the solution or dispersion contains a chromium(VI) and/or chromium(III) compound and/or adhesion-promoting pigments, flow-control agents and/or defoaming agents (additives). Further preferred aspects of the invention consist in that the components are brought in contact with a solution or dispersion having a temperature of 5 to 40° C., drying on in accordance with stage b) is effected at a temperature in the range from 40 to 60° C.