A kit (1) for the articulated connection between dividing panels, of the type that are used in stalls or cochineras to delimit stays, comprising a first pair of male parts (2) with a hook protrusion (3) and at least a side wing (4) prepared to be coupled at different levels in the vertical edge of a panel (10); and a second pair of female parts (5) with a hook hole (6) and at least one side wing (7) prepared to be coupled to the vertical edge of another adjacent panel (11), at levels equal to that of the male parts, the hooking protrusions (3) and the hooking holes (6) being configured so that the protrusions are susceptible to crimping in the holes upon simultaneous vertical relative movement between the first and the second pair of male and female parts ( 2 and 5) when they are conveniently fixed to the panels and thus articulately connect the respective panels, in which one of the first or second pair of pieces (2 or 4) are further configured with a recess (14) to fit into a slot ( 12) made on the edge of the corresponding panel so that they have the hooking protrusion or, where appropriate, the hooking hole in said groove, the kit being characterized in that it comprises an auxiliary part (8) provided with a check pin. (13) actuatable with a handle (9) and with a bent end (13a), the pin being mounted in a guided manner on the auxiliary part with the ability to slide longitudinally and rotate about its axis and this auxiliary piece being prepared ( 8) to be fixed to the lateral wing (4 or 7) of any of the male parts (2) leaving the pin parallel to the lateral wing and consequently outside the panel but so that, governed by the handle, the layered end of retainer (13a) of the pin is capable of being arranged in at least two positions: one of libration (a) in which the angled retaining end does not prevent disengagement of the first and second pair of parts (2, 5); and a locking (b) in which the elbow retaining end (13) is located in the recess (14) and acts as a m