The hinge mounting system according to the present invention is constituted of a link connector (10) comprising, on either side of a U-shaped opening (8), a first and a second vertical branch (11, 12) respectively cooperating through axes of rotation (13, 14) with a clamping element (15) enabling the linking rod (4) to be immobilized in translation and in rotation after it has been pivoted and locked above the opening (8) by a lock (16) elastically loaded by a leaf spring (29).