A method for detecting and compensating a transverse inclination of the roadway on which a vehicle is travelling, wherein the transverse inclination of the roadway is detected on the basis of a transverse acceleration (a y,S) of the vehicle which is generated by the transverse inclination of the roadway, comprising: measurement of a transverse acceleration (a y,Meas) of the vehicle by a measuring device; determination of a transverse acceleration (a y,Manvr) of the vehicle which is generated by driving manoeuvres, by a transverse inclination observer; determination of a transverse acceleration (a y,S) of the vehicle which is applied by the transverse inclination of the roadway, wherein the transverse acceleration (a y,S) of the vehicle applied by the transverse inclination of the roadway corresponds to a difference between the transverse acceleration (a y,Manvr) of the vehicle which is generated by driving manoeuvres and the transverse acceleration (a y,Meas) of the vehicle measured by the measuring device, setting of a steering angle (δ comp,ay) which compensates the transverse inclination of the roadway and which compensates the transverse acceleration (a y,S) of the vehicle applied by the transverse inclination of the roadway, by means of a transverse inclination compensator on the basis of the determined transverse acceleration (a y,S) of the vehicle applied by the transverse inclination of the roadway, wherein the steering angle (δ comp,ay) of the vehicle which compensates the transverse inclination of the roadway is determined from a correlation of the compensating steering angle (δ comp,ay) of the vehicle with a vehicle-dependent constant (k) and the transverse acceleration (a y,S) of the vehicle applied by the transverse inclination of the roadway; and the constant (k) is implemented in a speed-dependent and load-dependent fashion and is therefore a function of the velocity (v) of the vehicle and of the vehicle mass (m). measurement of a transverse acceleration (a y,Meas) of the vehicle by a measuring device; determination of a transverse acceleration (a y,Manvr) of the vehicle which is generated by driving manoeuvres, by a transverse inclination observer; determination of a transverse acceleration (a y,S) of the vehicle which is applied by the transverse inclination of the roadway, wherein the transverse acceleration (a y,S) of the vehicle applied by the transverse inclination of the roadway corresponds to a difference between the transverse acceleration (a y,Manvr) of the vehicle which is generated by driving manoeuvres and the transverse acceleration (a y,Meas) of the vehicle measured by the measuring device, setting of a steering angle (δ comp,ay) which compensates the transverse inclination of the roadway and which compensates the transverse acceleration (a y,S) of the vehicle applied by the transverse inclination of the roadway, by means of a transverse inclination compensator on the basis of the determined transverse acceleration (a y,S) of the vehicle applied by the transverse inclination of the roadway, wherein the steering angle (δ comp,ay) of the vehicle which compensates the transverse inclination of the roadway is determined from a correlation of the compensating steering angle (δ comp,ay) of the vehicle with a vehicle-dependent constant (k) and the transverse acceleration (a y,S) of the vehicle applied by the transverse inclination of the roadway; and the constant (k) is implemented in a speed-dependent and load-dependent fashion and is therefore a function of the velocity (v) of the vehicle and of the vehicle mass (m).