Machine train composed of a road milling machine that travels in front and comprises a machine frame supported by crawler tracks (3, 4) or wheels and a milling drum arranged on the machine frame that is for milling away material, and a road finisher that travels behind and comprises a machine frame which is supported by crawler tracks or wheels and on which a reservoir for material to be laid and a screed for laying material are arranged, wherein the road finisher comprises a levelling device for adjusting the position of the screed, and the levelling device is configured so that the position of the screed in relation to a reference line or reference surface can be changed, wherein the road milling machine comprises a profile data determining device for the levelling device of the road finisher, the profile data determining device being configured so that a sequence of height profile data describing the height of the road surface in the longitudinal direction is determined while the road milling machine advances, and comprises a data transmission device for transmitting the height profile data to the road finisher, the tracks (4, 5) or wheels of the road milling machine are fastened via lifting columns (8, 9) to the machine frame in such a manner that the height of the machine frame relative to the surface of the ground can be changed in order to adjust the milling depth of the milling drum, characterised in that the milling machine comprises a milling depth control device that is for controlling the lifting columns (8, 9) and comprises a measurement device for measuring the distance of a reference point on the road milling machine to the surface of the unprocessed ground on one of the two sides of the milling drum, wherein the milling depth control device is configured so that the lifting columns (8, 9) are controlled such that when the road milling machine advances, the milling depth on one of the two sides of the milling drum is kept substantially constant, regardless of the condition of the ground surface, wherein a transverse incline control device is provided that is configured so that the lifting columns (8, 9) are controlled such that the transverse incline of the machine frame when the road milling machine advances is kept substantially constant, regardless of the condition of the ground surface, and a measurement device (33A, 33B) for measuring the distance of a reference point on the road milling machine to the surface of the unprocessed ground on the other side of the two sides of the milling drum is provided, the measurement device generating a sequence of distance data, wherein the profile data determining device is configured so that the height profile data is obtained from the distance data. the road milling machine comprises a profile data determining device for the levelling device of the road finisher, the profile data determining device being configured so that a sequence of height profile data describing the height of the road surface in the longitudinal direction is determined while the road milling machine advances, and comprises a data transmission device for transmitting the height profile data to the road finisher, the tracks (4, 5) or wheels of the road milling machine are fastened via lifting columns (8, 9) to the machine frame in such a manner that the height of the machine frame relative to the surface of the ground can be changed in order to adjust the milling depth of the milling drum, characterised in that the milling machine comprises a milling depth control device that is for controlling the lifting columns (8, 9) and comprises a measurement device for measuring the distance of a reference point on the road milling machine to the surface of the unprocessed ground on one of the two sides of the milling drum, wherein the milling depth control device is configured so that the lifting columns (8, 9) are controlled such that when the road milling machine advances, the milling depth on one of the two sides of the milling drum is kept substantially constant, regardless of the condition of the ground surface, wherein a transverse incline control device is provided that is configured so that the lifting columns (8, 9) are controlled such that the transverse incline of the machine frame when the road milling machine advances is kept substantially constant, regardless of the condition of the ground surface, and a measurement device (33A, 33B) for measuring the distance of a reference point on the road milling machine to the surface of the unprocessed ground on the other side of the two sides of the milling drum is provided, the measurement device generating a sequence of distance data, wherein the profile data determining device is configured so that the height profile data is obtained from the distance data.