A distance regulating system is disclosed for the automatic adjusting of a distance of a motor vehicle to a motor vehicle travelling ahead. At least one sensor detects the distance to the motor vehicle travelling ahead. A route detector detects a route section lying ahead. A control unit is equipped in order to transmit acceleration commands to a drive of the motor vehicle, to accelerate with a preset acceleration upon increasing distance to the motor vehicle travelling ahead or during open straight-ahead travel. The control unit can determine a transverse acceleration to be expected and adjust a longitudinal acceleration as a function of the transverse acceleration to be expected when a curve lying ahead is detected by the route detection.