A method and system for promoting a uniform driving style. A longitudinal speed of a motor vehicle and a route section curvature radius lying ahead of the vehicle are determined when the vehicle approaches the route section. An expected lateral acceleration is determined from the curvature radius and longitudinal speed as the route section is driven through. The lateral acceleration is compared with a permanently predefined lateral acceleration limiting value which can be predefined by the driver. In the event the expected lateral acceleration is greater than at least one of the lateral acceleration limiting values, the longitudinal speed is lowered by an optical, acoustic and/or haptic request to the driver and/or by autonomous braking intervention. If the expected lateral acceleration is smaller than or equal to the lower of the two lateral acceleration limiting values the lowering of the longitudinal speed is reduced by decreasing the engine drag torque.