A cooling system for a farm machine comprises a heat exchange assembly (1) having a plurality of radiators (2, 3, 4, 5) arranged one close to the other and so as to be passed through by a same air flow. According to the invention, at least a first radiator (3, 4, 5) can be shifted angularly with respect to a second radiator (2, 3, 4), so as to make cleaning operations for the latter easier.