Method of constructing a cover layer on a planum by use of a paving screed towed at pulling bars by a road paver, according to which method the actual elevation of the paving screed above the planum is measured by elevation sensor 5 placed at the rear edge of the paving screed or in close vicinity to the rear edge of the paving screed and/or the actual actual-inclination of the paving screed is measured by at least one lateral inclination sensor, at a construction convoy consisting of the road paver and the paving screed with the help of a reference arranged on the planum in the form of a regulating differential measurement value and upon occurrence of a deviation levelling cylinders displacing pulling points of the pulling bars are adjusted in height direction by a regulating system incorporated into a computerized control device for correcting the deviation, characterized in that for the correction each levelling cylinder is adjusted in a closed regulation loop starting from a selected zero-point of the levelling cylinder exclusively for an absolute stroke which is calculated with the help of measuring values obtained from the regulating differential measurement value measured at a reference measuring point and of an input construction ratio factor considering at least the lever arm between the pulling point and the reference measuring point, that the new levelling cylinder adjustment position resulting from the absolute stroke automatically and in a self-learning fashion in selected as new zero point for a subsequent equal regulating cycle, that prior to a start of a construction cycle either on the basis of the paving screed adjusted to the target layer thickness or of previously learned-in parameters in the regulating system the levelling cylinder adjustment position is selected as the zero point of the levelling cylinders and an actual regulating differential measurement value of the elevation sensors and/or of the lateral-inclination sensor relative to the reference is set to zero, that during the ongoing construction the actual-elevation is measured by the elevation sensors and/or the actual-inclination is measured by the lateral-inclination sensor respectively relative to an absolute target value towards the reference and in case of an occurring deviation from the target value of the elevation and/or the inclination a new actual regulating differential measurement value different from zero is determined, that the absolute stroke for the levelling cylinder is calculated from the new actual regulating differential measurement value with the help of the input construction ratio factor, and that the levelling cylinder exclusively is adjusted over the calculated absolute stroke starting from the selected zero point and in a direction for reducing the new actual regulating differential value in order to reach a predetermined minimum, wherein with then continued construction reaching the predetermined minimum is monitored by continued reference measurement and either the previously set construction ration factor is increased or decreased by means of a learning construction ratio factor regulator until the expected minimum of the regulating differential measurement value is reached, in case that the predetermined minimum was not reached, or upon reaching the predetermined minimum the new levelling cylinder adjustment position is selected as a new zero point and the reached minimum is considered in the regulating system.