A hydraulically actuated, preferably variable, valve drive of an internal-combustion engine is provided, with a slave unit (15), which is embodied as a separate component relative to a master unit. A special characteristic is that the slave unit is provided with a hydraulic backlash compensation element (9), which is connected to a path (12) for feeding hydraulic medium only outside of a stroke phase of a slave piston (5). As a result, on one hand an easy-to-produce valve drive with slave unit (15) is provided. On the other hand, unnecessary "pumping up" of the backlash compensation element (9) during the stroke phases of the slave piston (5) is prevented by the previously mentioned admission of hydraulic medium.