Steer-by-wire steering system for a motor vehicle, comprising a steering handle for inputting a steering command by a driver of the motor vehicle, a haptic actuator, which is mechanically coupled to the steering handle, for simulating a steering reaction for the driver at the steering handle, a wheel actuator for setting a steering angle at steerable vehicle wheels of the motor vehicle, control means configured on the basis of the driver-side steering command to cause the wheel actuator to effect a steering operation of the vehicle wheels and to cause the haptic actuator to generate a steering reaction, the control means comprising a first calculation module for the steering reaction provided by the haptic actuator and a second calculation module for the steering angle to be set by the wheel actuator, and a variable (φL) representing the steering command being connected as an input variable to both calculation modules (8, 9) or at least to the second calculation module, and a device for determining the lateral acceleration (a) on the vehicle, the control means being configured to convert the lateral acceleration (a) directly into a feedback torque (S a) by uniquely assigning a value from the value range, namely a feedback torque (S a), to each value from the definition range, namely a lateral acceleration, by means of a mathematical function, and to incorporate this feedback torque (S a) in the first calculation module, completely or with a scaling factor greater than 0 and less than 1, as a summand in a setpoint torque (S H) of the haptic actuator representing the steering reaction, characterized in that the second calculation module generates an additional feedback torque (S d), which is used in the first calculation module with a scaling factor between 0 and 1 as a summand in the setpoint torque (S H) of the haptic actuator, the additional feedback torque (S d) being based on the output signal of a controller and a variable (φL) representing the steering command from the driver and a corresponding variable (φR) representing the position of the wheel actuator and thus the steering angle of the vehicle wheels 5 being connected to this controller as input variables as a difference to be corrected. a steering handle for inputting a steering command by a driver of the motor vehicle, a haptic actuator, which is mechanically coupled to the steering handle, for simulating a steering reaction for the driver at the steering handle, a wheel actuator for setting a steering angle at steerable vehicle wheels of the motor vehicle, control means configured on the basis of the driver-side steering command to cause the wheel actuator to effect a steering operation of the vehicle wheels and to cause the haptic actuator to generate a steering reaction, the control means comprising a first calculation module for the steering reaction provided by the haptic actuator and a second calculation module for the steering angle to be set by the wheel actuator, and a variable (φL) representing the steering command being connected as an input variable to both calculation modules (8, 9) or at least to the second calculation module, and a device for determining the lateral acceleration (a) on the vehicle, the control means being configured to convert the lateral acceleration (a) directly into a feedback torque (S a) by uniquely assigning a value from the value range, namely a feedback torque (S a), to each value from the definition range, namely a lateral acceleration, by means of a mathematical function, and to incorporate this feedback torque (S a) in the first calculation module, completely or with a scaling factor greater than 0 and less than 1, as a summand in a setpoint torque (S H) of the haptic actuator representing the steering reaction, characterized in that the second calculation module generates an additional feedback torque (S d), which is used in the first calculation module with a scaling factor between 0 and 1 as a summand in the setpoint torque (S H) of the haptic actuator, the additional feedback torque (S d) being based on the output signal of a controller and a variable (φL) representing the steering command from the driver and a corresponding variable (φR) representing the position of the wheel actuator and thus the steering angle of the vehicle wheels 5 being connected to this controller as input variables as a difference to be corrected.