Abstract: A nonaqueous, heat-cured, two-component coating has a combination of good scratch resistance and resistance to etching by acid rain and comprises a solvent-containing polyol component and a cross-linking component. The cross-linking component comprises at least one aliphatic and/or cycloaliphatic polyisocyanate having 2 to 6 NCO functional groups per molecule in which 0.1 to 95 mol % of the isocyanate groups of the polyisocyanate are reacted with an N-alkyl-3-aminopropyltrialkoxysilane and/or an N-aryl-3-aminopropyltrialkoxysilane. The weight ratio of the polyol to the cross-linking component in the coating is 6:1 to 1:2.