A hydrostatic drive of a wind turbine, consisting of at least one rotor, which can be driven by wind energy, for generating a rotation of a rotor shaft connected to the rotor, a hydraulic pump, which can be driven by means of the rotor shaft, for converting the rotational energy of the rotor shaft into hydraulic energy and a hydraulic motor combination (3, 4) having a fixed hydraulic motor and an adjustable hydraulic motor, which are connected via hydraulic hoses (VP, VM, RP, RM) of the hydraulic pump and which can therefore be driven by the latter, wherein the hydrostatic energy is converted in the hydraulic motor combination (3, 4) into a rotational movement and this movement of the hydraulic motor combination (3, 4) which comprises a common shaft or is rigidly coupled can be transferred to a drive shaft of a synchronous generator of the hydrostatic drive in order to generate electrical energy, wherein the hydrostatic drive in a first configuration includes a closed hydraulic circuit (T 1) or, alternatively, in a second configuration, includes a plurality of closed hydraulic sub-circuits (T 1-n), to which the total volumetric flow conveyed by the hydraulic pump is distributed, wherein the circuit (T 1) or each sub-circuit (T 1-n) has a proportional control valve for blocking or partially blocking the volumetric flow and a hydraulic motor combination (3, 4) each having an adjustable hydraulic motor and a fixed hydraulic motor, wherein the adjustable hydraulic motor and the fixed hydraulic motor of each circuit (T 1-n) each have their own flow on the high-pressure side from the hydraulic pump and their own return on the low-pressure side to the hydraulic pump, wherein the hydrostatic drive includes a controller which is configured to set the displacement of the adjustable hydraulic motor(s) such that, during isolated operation, the rotational speed of the drive shaft of the associated synchronous generator assumes a constant value so that the synchronous generator of each circuit (T 1-n) can be connected directly to the consumers on the output side and, during operation in parallel with a network, at a constant rotational speed determined by the network, a power equilibrium is set between the power received by the rotor from the wind and the power output by the synchronous generator(s), taking account of the conversion losses in the hydrostatic drive and in the synchronous generator(s), wherein it is true of each circuit (T 1-n) that the hydraulic connection of the fixed hydraulic motor from and to the hydraulic pump is effected indirectly via a first valve block (2a1) and the hydraulic connection of the adjustable hydraulic motor from and to the hydraulic pump is indirectly effected via a second valve block (2a2), wherein the proportional current control valve is arranged in series with the volumetric flow in the respective valve block in the respective flow on the high-pressure side and in which a parallel connected anti-cavitation valve connecting the flow on the high-pressure side and the return on the low-pressure side is arranged on the hydraulic motor side downstream of the proportional current control valve, which anti-cavitation valve can maintain the supply with supply oil during a transition of the connected synchronous generator from generator-driven to motor-driven operation and can secure the desired motor-driven operation of the synchronous generator, when the latter is operating in a motor-driven manner with a stationary rotor as a phase shifting machine, wherein a parallel connected pressure relief valve connecting the flow on the high-pressure side and the return on the low-pressure side and a safety relief valve are arranged in each valve block on the pump side upstream of the proportional current control valve.