A machine for laying concrete paths of the type in which a concrete mix in the plastic state is spread over a certain width and is then levelled to a certain height, in which a levelling element comprises at least two largely horizontal plates which are positioned at least partially laterally next to one another, viewed in the direction of movement of the machine, and which can be displaced in the lateral direction relative to one another for adjusting the working width of the machine, and in which the first plate bears with its lower face against the upper face of the second plate.