A very versatile device is proposed for high-precision machining of optical workpieces, in particular optical lenses, which comprises a horizontally displaceable gantry with at least one vertically displaceable tool spindle and a yoke with workpiece holding means mounted so as to be rotatable about a swivel axis by means of journals fitted on both sides. For swivelling of the yoke without gearing and therefore without backlash, a torque motor is provided concentrically to the swivel axis, which motor is directly connected actively with one of the journals.