A drive system for a motor vehicle with a continuously driven primary axle and a selectably driven secondary axle has a differential that acts between the wheels of the secondary axle, and has a torque transmission device for transmitting a drive torque to the differential. The torque transmission device has a clutch and a pump, wherein the pump produces a hydraulic pressure in a first pressure chamber of the clutch when a speed difference occurs between the primary axle and the secondary axle. The first pressure chamber is connected via a connecting line to a second pressure chamber, which is associated with an actuating member of the differential, so that the pressure produced by the pump also permits an at least partial locking of the differential. The first pressure chamber is connected to a low-pressure chamber through a first discharge line, in which is arranged a first control valve. The second pressure chamber is connected to the low-pressure chamber through a second discharge line, in which is arranged a second control valve. A pressure reduction member is located in the connecting line between the first pressure chamber and the second pressure chamber, in the first discharge line, or in the second discharge line.