A grinding machine for external cylindrical grinding of hollow shafts may include at least one grinding disc, at least one support disc, and at least two centrings for a face-side fixing of a hollow shaft. At least one of the at least two centrings may be configured as a point. A ruler may be arranged to adjust and hold a position of the hollow shaft during a grinding operation. A rotation axis of the at least one grinding disc and of the at least one support disc may be arranged parallel to one another and define a plane. A rotation axis of the hollow shaft to be ground may extend outside of the plane by a distance of a>12 mm.