Abstract: The current invention relates to an alkyd resin particularly useful in high-solids coating compositions. The alkyd resin comprises the reaction product of an unsaturated fatty acid, a polyol, and the adduct of an .alpha.,.beta.-unsaturated dicarboxylic acid to an unsaturated fatty acid wherein the resin containsa) about 5 to about 40 weight % of the adduct of an .alpha.,.beta.-unsaturated dicarboxylic acid to an unsaturated fatty acid,b) about 50 to about 90 weight % of an unsaturated fatty acid which is not part of an adduct,c) about 8 to about 18 weight % of a polyol free from carboxylic groups,d) about 1 to about 30 weight % of an at least two hydroxyl groups-containing monocarboxylic acid,e) optionally, up to about 10 weight % of a dicarboxylic and/or a tricarboxylic acid, andf) optionally, up to 15 weight % of one or more monomers other than the monomers (a) through (e).Also disclosed is their use in coating compositions, particularly high-solids coating compositions having a VOC of less than 170.