The corresponding machine tool or milling machine for carrying out the method described has a milling spindle which is displaceable in three spatial directions and with which the workpiece can be machined in a machining region, the machine tool or milling machine having at least one mounting slide, with which the workpiece, for the first machining step, can be mounted in gripping adapters. Furthermore, the machine tool or milling machine has at least one rocker, with which the partly machined workpiece can be mounted by means of at least one special gripping adapter in the first, finally machined region of the workpiece for the second machining step.