A method to compensate geometrical errors in processing machines, in which a workpiece holder (8) is arranged such that it can be adjusted on the basis of measurement signals that have been received by being able to be rotated relative to a fixture (9) in the processing machine to which the workpiece holder is attached. A method for the alignment of a workpiece in processing machines, and an arrangement for the realization of the method are disclosed. The arrangement includes a workpiece holder (8), the angle of which relative to a fixture (9) in the processing machine to which the workpiece holder (8) is connected can be adjusted.