A hydraulic valve drive for a cylinder valve of an internal combustion engine, comprising: a housing having an inlet passage and an outlet passage , a control piston arranged in the housing 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 into the working position causes a pressure rise inside the housing due to hydraulic fluid flowing in through the inlet passage , and a movement of the control piston into the rest position causes a pressure drop inside the housing due to hydraulic fluid flowing out of the outlet passage , a working piston which is arranged in the housing , 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 for braking a movement of the control piston 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 , 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 through a braking channel , characterized in that the hydraulic valve drive further comprises a second hydraulic brake for braking a movement of the control piston from the working position into the rest position by increasing a flow resistance of a hydraulic fluid displaced by the control piston 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 through a second braking channel . a housing having an inlet passage and an outlet passage , a control piston arranged in the housing 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 into the working position causes a pressure rise inside the housing due to hydraulic fluid flowing in through the inlet passage , and a movement of the control piston into the rest position causes a pressure drop inside the housing due to hydraulic fluid flowing out of the outlet passage , a working piston which is arranged in the housing , 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 for braking a movement of the control piston 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 , 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 through a braking channel , characterized in that the hydraulic valve drive further comprises a second hydraulic brake for braking a movement of the control piston from the working position into the rest position by increasing a flow resistance of a hydraulic fluid displaced by the control piston 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 through a second braking channel . <EOS>