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 (S10) of a transverse acceleration (a y,Meas ) of the vehicle by a measuring device; determination (S20) of a transverse acceleration (a y,Manvr ) of the vehicle which is generated by driving manoeuvres, by a transverse inclination observer ; determination (S30) 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 (S40) 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 (S10) of a transverse acceleration (a y,Meas ) of the vehicle by a measuring device; determination (S20) of a transverse acceleration (a y,Manvr ) of the vehicle which is generated by driving manoeuvres, by a transverse inclination observer ; determination (S30) 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 (S40) 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). <EOS>