The present invention relates to an agricultural machine intended to be hitched to a tractor and comprising two side units and a frame, which extends in a longitudinal direction, each side unit comprising 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 comprising a tool unit connected to the frame by means of the respective arm and being able to occupy a work position in which it rests on the ground, each side unit also comprising a connection means, which is configured to allow the respective tool unit in work position to move relative to the respective arm and which comprises at least one lightening actuator enabling an upward force to be exerted on each tool unit in work position. It is noteworthy in that the machine comprises a tie-rod connected to each of the arms through a respective upper joint of an axis parallel to the respective folding axis.