A steering system (1) of a vehicle, having a steering wheel (2) which is connected mechanically to the steerable vehicle wheels (11) via a steering column (3). A superimposition actuator (26) which can be actuated independently of the driver by a control device (25) is provided for generating a superimposition variable (U). A superimposition device (6) superimposes a steering wheel variable (δH) which describes the steering actuation of the steering wheel (2) and the superimposition variable (U) to form an output variable. A steering actuator (19) sets a steering angle (δL) at the steerable vehicle wheels (20) as a function of the output variable. An actuating device (27) is provided which is actuated by the control device (25) in order to generate an actuating device torque (MS) which acts on the steering column. Here, the control device (25) at the same time actuates the superimposition actuator (26) and the actuating device (27), with the result that the steering angle (δL) and a reaction moment (MR) which results from the superimposition variable (U) and the actuating device torque (MS) and feeds back on the steering wheel (2) are influenced independently of the driver.