A method for braking a vehicle to a stop on a sloping section of a roadway wherein a slope inclination of the roadway section, a vehicle speed, an acceleration, and a vehicle brake operation status of the vehicle are continuously ascertained. The slope inclination of the roadway section and the vehicle brake operation status are compared with predetermined threshold values. The method includes activating a braking torque, continuously determined based on the slope inclination, the driving speed, and the acceleration when the instantaneous slope inclination of the roadway section reaches or exceeds the predetermined threshold value for a sloping section and the vehicle brake operation status lies within a predetermined range or value. The braking torque being independent of the vehicle brake operation status.