A road paver comprises a paving screed, wherein the paving screed comprises a tamper, and the road paver further comprises a GNSS receiver and a material conveyor. In addition, the road paver comprises an electronic control system, which comprises a memory and a data processor, wherein digital construction data, in particular a target height profile of a road surface to be paved, a target layer thickness of paving material and, if necessary, a height profile of a roadbase are stored in the memory. The control system is configured to automatically control compaction performance of the paving screed as a function of the target layer thickness in order to pave the paving material for the respective local coordinate point of the road paver determined by the GNSS receiver.