The invention relates to a printing ink which is to be used for printing paper and which consists of pigment, an alkyd resin binder which has been modified with fatty acids having an iodine number below 20, and, if desired, further binder and further customary constituents, such as lubricants, solvents, thickeners and thixotropic agents. The alkyd resin is an epoxy alkyd resin having an acid number below 11 and is present in the printing ink in an amount of at least 40% by weight, based on the total binder content. It has been prepared by reacting(a) a fatty acid of 6-20 carbon atoms or a mixture of such acids or triglycerides thereof,(b) a polyol,(c) an epoxy resin having a molecular weight of 380-2,900, an epoxide equivalent weight of 175 to 2,050 and an ester equivalent weight of 80 to 200 and(d) a dicarboxylic acid, the proportion of the epoxy resin amounting to 1 to 40 mole %, based on the total amount of polyol and epoxy resin.