Abstract: A chucking device, in particular for workpieces that are to be machined on more than one side, has a workpiece carrier with at least one turret, arranged to receive workpieces, that is supported rotatably about an axis of rotation on the workpiece carrier, A positive-engagement locking device is associated with the turret, on the workpiece carrier, by which locking device the turret can be locked positionally precisely in a predetermined rotary angle position relative to the workpiece carrier. The locking device has at least three locking parts disposed coaxially to one another, which on the plane faces facing one another each carry pairs of cooperating locking means that can be brought into and out of engagement with one another by means of an axial relative motion of the locking parts.