System for compaction measurement, comprising: a first compaction measurement apparatus arrangeable on a compaction machine and configured to determine, on the basis of a measured acceleration of a measurement probe of the first compaction measurement apparatus as a result of a measurement vibration and/or an acceleration of a compaction element (11, 12) of the compaction machine, at least one first stationary compaction value that informs about a local compaction of the subsoil or the surfacing for at least a first position, and to output the same with associated positional information for the first position; a second compaction measurement apparatus being mobile and configured to identify, upon interaction or contact with the subsoil or the surface, the local compaction of the subsoil or the surfacing for at least the first position and to output, on the basis thereof, at least one first mobile compaction value with associated positional information for the first position; wherein the second compaction measurement apparatus is hand-held; wherein the second compaction measurement apparatus has a higher accuracy than the first compaction measurement apparatus; a calculation unit configured to compare the first stationary compaction value and the first mobile compaction value so as to determine a correction value for the first compaction measurement apparatus that depends on the deviation of the first stationary compaction value from the first mobile compaction value; a position determination apparatus (24, 33) or GNSS apparatus coupled to the first compaction measurement apparatus so as to identify the positional information for the first position if the first compaction measurement apparatus is positioned at the first position; and a further position determination apparatus (24, 33) or further GNSS apparatus so as to identify the positional information for the first position if the second compaction measurement apparatus is positioned at the first position; wherein the second compaction measurement apparatus comprises the further position determination device (24, 33) or the further GNSS apparatus as well as a radio interface configured to transmit at least the first mobile compaction value to the calculation unit. a first compaction measurement apparatus arrangeable on a compaction machine and configured to determine, on the basis of a measured acceleration of a measurement probe of the first compaction measurement apparatus as a result of a measurement vibration and/or an acceleration of a compaction element (11, 12) of the compaction machine, at least one first stationary compaction value that informs about a local compaction of the subsoil or the surfacing for at least a first position, and to output the same with associated positional information for the first position; a second compaction measurement apparatus being mobile and configured to identify, upon interaction or contact with the subsoil or the surface, the local compaction of the subsoil or the surfacing for at least the first position and to output, on the basis thereof, at least one first mobile compaction value with associated positional information for the first position; wherein the second compaction measurement apparatus is hand-held; wherein the second compaction measurement apparatus has a higher accuracy than the first compaction measurement apparatus; a calculation unit configured to compare the first stationary compaction value and the first mobile compaction value so as to determine a correction value for the first compaction measurement apparatus that depends on the deviation of the first stationary compaction value from the first mobile compaction value; a position determination apparatus (24, 33) or GNSS apparatus coupled to the first compaction measurement apparatus so as to identify the positional information for the first position if the first compaction measurement apparatus is positioned at the first position; and a further position determination apparatus (24, 33) or further GNSS apparatus so as to identify the positional information for the first position if the second compaction measurement apparatus is positioned at the first position; wherein the second compaction measurement apparatus comprises the further position determination device (24, 33) or the further GNSS apparatus as well as a radio interface configured to transmit at least the first mobile compaction value to the calculation unit.