A grinding machine and a method for grinding large crankshafts are disclosed. During pre-grinding, steady-rest seats are ground, and a plurality of steady rests are placed against them. Synchronous electric drives drive the crankshaft at both ends. A desired shape is produced by interpolating motion of a first grinding disk about CNC-controlled X and Z axes and about a WK pivot axis. The grinding disk is a CBN grinding disk with a width less than the axial length of the main journals and crankpins of the crankshaft. Diameters are measured along the axial length of the main journals and/or crankpins by an in-process device. The drives for the X1, Z1, and WK axes are controlled in an interpolating manner on the basis of the measurements to achieve the desired shape.