Abstract: An aqueous electrophoretic coating material, which can be deposited at the cathode and contains(A) 90 to 50% by weight, based on the total portion of synthetic resin vehicle, of one or several polycondensation, polymerization and/or poly-addition resins, the resin or, in the event that several resins are present, their mixture(a) having a number average molecular weight (Mn) of 700 to 10,000(b) having 1.2.times.10.sup.23 to 21.7.times.10.sup.23 lateral or terminal double bonds per 1,000 g, corresponding to a hydrogenation iodine number of 5 to 90,(c) optionally containing primary and/or secondary hydroxyl groups, corresponding to a hydroxyl number of 0 to 450 mg KOH/g of resin, and(d) tertiary amino groups corresponding to an amine number of 30 to 450 mg KOH/g of resin.