In a valve operating control device hysteresis brake particularly for a valve drive of an internal combustion engine, including a hysteresis device rotatable about an axis of rotation so as to be movable along a pole structure of an electromagnet forming a magnetic field effect region in the hysteresis device along the pole structure, a compact and high-performance arrangement is provided for the hysteresis device by an offset in the axial and/or radial direction providing at least two magnetic field effect regions in which the hysteresis device is movably supported.