A method for laying down a pavement in which a compaction unit such as a tamper pre-compacts the paving material with a selectable stroke and at a selectable frequency while the pavement having a selectable pavement thickness is in the process of being laid down at a selectable paving speed, the stroke of the compaction unit is automatically adjustable in response to paving parameters, such as the paving speed and/or the pavement thickness, along a characteristic curve or in a characteristic map. The compaction unit includes an adjusting mechanism which is operable during the paving operation for adjusting the stroke of the compaction unit.