An agricultural machine hitched to a tractor and includes two side units and a frame, which extends in a longitudinal direction, each side unit including an arm mounted so as to pivot relative to the frame around a respective folding axis oriented substantially parallel to the longitudinal direction, each side unit including a tool unit connected to the frame through the respective arm and being able to occupy a work position in which it rests on the ground, each side unit including a connection allowing the respective tool unit in work position to move relative to the respective arm, the connection includes a lightening actuator enabling to exert an upward force on each tool unit in work position. The machine includes a tie-rod connected to each of the arms through a respective upper joint of an axis parallel to the respective folding axis.