Abstract: A grinding machine includes a machine bed on which a workpiece spindle with a workpiece holder and a tool spindle with a tool holder are arranged. A workpiece held in the workpiece spindle, relative to a tool held in the tool holder, is displaceable along an X-axis running in a first direction parallel to the surface of the machine bed, is displaceable along a Y-axis, running in a second direction parallel to the surface of the machine bed, is displaceable along a Z-axis running perpendicular to the surface of the machine bed, is rotatable about an A-axis running parallel to the surface of the machine bed, and is rotatable about a C-axis running perpendicular to the surface of the machine bed. The tool spindle is completely kinematically separated from the workpiece spindle. Movements along the X-axis, about the A-axis and about the C-axis being carried out by the workpiece spindle.