The disclosure relates to a road finishing machine with a screed for producing a paving layer, wherein the screed includes at least one compacting unit for precompacting paving material supplied to the screed. The compacting unit includes at least one eccentric bushing mounted on an eccentric shaft supporting the same and rotatable to a desired angle of rotation to thereby continuously variably set a desired tamper stroke of a tamper bar of the compacting unit. For rotating the eccentric bushing, the compacting unit includes at least one adjusting mechanism, wherein the adjusting mechanism includes an adjusting drive mounted on the eccentric shaft and rotatable along with the eccentric shaft. The disclosure furthermore relates to a method for a continuously variable tamper stroke adjustment at a compacting unit of a road finishing machine.