A method of laying a finishing layer with a road finisher F having a screed B, whereby the screed, equipped with a tamper device T and a smoothing plate, at least compacts and superficially smoothes the finishing layer, and the stroke and/or the frequency of the tamper device T are remotely varied for laying a finishing layer with a paving thickness and/or laying rate V which vary over the pave width and transversely to the working direction R within the pave width. A road finisher having a screed suitable for implementing the method set forth above wherein the road finisher or screed has an adjustment device for the remotely actuated local variation of at least the stroke of the tamper device within the pave width.