A chuck for a machine tool having a rotation spindle with a main axis of rotation. The chuck comprises a base plate, a first rotatable plate eccentrically mounted on the base plate, a second rotatable plate eccentrically mounted on the first rotatable plate, balancing means for aligning a principal axis of inertia of the chuck with the main axis of rotation and a holding mechanism. The chuck is provided with an actuating mechanism for angularly displacing the first rotatable plate around a first rotation axis over a first angle of rotation and/or the second rotatable plate around a second rotation axis over a second angle of rotation such that the position of the object with respect to the main axis of rotation can be altered.