A clutch device for a motor vehicle has friction elements around which coolant flows and which, by way of a piston, can be pressed against one another for torque transmission. The first piston side is acted on with operating pressure, and the second piston side is acted on with coolant pressure. A valve, by which the operating pressure can be set, and a device which makes a reaction of the coolant pressure on the operating pressure possible are provided. The device is designed as a hydraulic resistance cascade and is connected between coolant supply and coolant return lines of the friction elements. A return pressure line branches off in the center of the hydraulic resistance cascade and is connected to the valve.