A process for producing a multicoat system on a substrate, in which a) an electrodeposition coating film is deposited on the substrate, b) the electrodeposition coating film is predried by heating to a predrying temperature for a predetermined period, c) a coat of a surfacer is applied to the electrodeposition coating film, and d) the electrodeposition coating film and the coat of the surfacer are baked together at elevated temperatures, and in which the predrying temperature in step b) is equal to the temperature (T.sub.p) or lies above the temperature (T.sub.p) at which the loss factor tan .delta., which is the quotient formed from the loss modulus E'' and the storage modulus E', of the unbaked electrodeposition coating material shows a maximum, and the use of the resulting multicoat system.