Abstract: The invention relates to a drive device for a hydraulic elevator, the device comprising an actuator (1) whose pressure chamber (1a) is connected to a pump (11) via a down duct (15) and via an up duct (16). A pressure accumulator (4) is connected to the down and up ducts (15, 16) via parallel ducts (15a, 16a), each duct having an electrically controlled valve (2, 2a; 6, 6a). While the elevator is moving downwards, hydraulic fluid is transferred from the pressure chamber (1a) to the accumulator (4) via the down duct (15) and the parallel duct (16a). While the elevator is moving upwards, hydraulic fluid is transferred from the accumulator (4) to the pressure chamber (1a).