A hydraulic valve drive for a cylinder valve of an internal combustion engine, comprising: a housing (2, 3, 5, 6) having an inlet passage and an outlet passage, a control piston (13, 14, 15) arranged in the housing (2, 3, 5, 6) and adapted to be reciprocated between a rest position, in which it closes the inlet passage while the outlet passage is open, and a working position, in which it closes the outlet passage while the inlet passage is open, wherein a movement of the control piston (13, 14, 15) into the working position causes a pressure rise inside the housing (2, 3, 5, 6) due to hydraulic fluid flowing in through the inlet passage, and a movement of the control piston (13, 14, 15) into the rest position causes a pressure drop inside the housing (2, 3, 5, 6) due to hydraulic fluid flowing out of the outlet passage, a working piston (10, 11) which is arranged in the housing (2, 3, 5, 6), which is operatively connected to the cylinder valve, and which reciprocates inside the housing in dependence on the pressure rise and the pressure drop so as to open and close the cylinder valve, and a hydraulic brake (13, 14, 15, 42) for braking a movement of the control piston (13, 14, 15) from the rest position into the working position in the final phase of the movement by increasing a flow resistance of a hydraulic fluid displaced by the control piston (13, 14, 15), wherein the flow resistance is increased in that, in the end phase of the movement, part of the displaced hydraulic fluid is pressed by the control piston (13, 14, 15) through a braking channel, characterized in that the hydraulic valve drive further comprises a second hydraulic brake (13, 14, 15, 43) for braking a movement of the control piston (13, 14, 15) from the working position into the rest position by increasing a flow resistance of a hydraulic fluid displaced by the control piston (13, 14, 15) in the end phase of the movement, and the flow resistance in the second hydraulic brake is increased in that, in the end phase of the movement, part of the displaced hydraulic fluid is pressed by the control piston (13, 14, 15) through a second braking channel. a housing (2, 3, 5, 6) having an inlet passage and an outlet passage, a control piston (13, 14, 15) arranged in the housing (2, 3, 5, 6) and adapted to be reciprocated between a rest position, in which it closes the inlet passage while the outlet passage is open, and a working position, in which it closes the outlet passage while the inlet passage is open, wherein a movement of the control piston (13, 14, 15) into the working position causes a pressure rise inside the housing (2, 3, 5, 6) due to hydraulic fluid flowing in through the inlet passage, and a movement of the control piston (13, 14, 15) into the rest position causes a pressure drop inside the housing (2, 3, 5, 6) due to hydraulic fluid flowing out of the outlet passage, a working piston (10, 11) which is arranged in the housing (2, 3, 5, 6), which is operatively connected to the cylinder valve, and which reciprocates inside the housing in dependence on the pressure rise and the pressure drop so as to open and close the cylinder valve, and a hydraulic brake (13, 14, 15, 42) for braking a movement of the control piston (13, 14, 15) from the rest position into the working position in the final phase of the movement by increasing a flow resistance of a hydraulic fluid displaced by the control piston (13, 14, 15), wherein the flow resistance is increased in that, in the end phase of the movement, part of the displaced hydraulic fluid is pressed by the control piston (13, 14, 15) through a braking channel, characterized in that the hydraulic valve drive further comprises a second hydraulic brake (13, 14, 15, 43) for braking a movement of the control piston (13, 14, 15) from the working position into the rest position by increasing a flow resistance of a hydraulic fluid displaced by the control piston (13, 14, 15) in the end phase of the movement, and the flow resistance in the second hydraulic brake is increased in that, in the end phase of the movement, part of the displaced hydraulic fluid is pressed by the control piston (13, 14, 15) through a second braking channel.