A method and a device detect a transverse inclination of a roadway on which a vehicle is traveling. The transverse inclination is detected on the basis of a transverse acceleration of the vehicle that is generated by the transverse inclination of the roadway. A transverse acceleration of the vehicle is measured with a measuring device. A transverse acceleration that is generated by driving maneuvers of the vehicle is determined by a transverse inclination observer. The transverse acceleration of the vehicle due to the transverse inclination of the roadway is subsequently determined by determining a difference between the transverse acceleration generated by the driving maneuvers and the transverse acceleration measured by the measuring device. A method and a device are also provided for compensating for the transverse inclination of the roadway on which a vehicle is traveling. A steering angle which compensates for the transverse acceleration of the vehicle that is caused by the transverse inclination of the roadway, by way of a transverse inclination compensator. The steering angle is set by taking into consideration the transverse acceleration of the vehicle caused by the transverse inclination of the roadway.