The invention relates to a grinding machine for grinding a surface of a workpiece, wherein the grinding machine comprises a plurality of grinding elements (2) and at least one drive device, by means of which the plurality of grinding elements (2) can be set in oscillatory motion, wherein the grinding machine comprises at least two supporting structures (4), on which at least one grinding element (2) is arranged and which can be moved in an oscillatory manner in directions opposite each other by the at least one drive device.
