A gripping device (10, 10) for a milking unit (12, 12) provided with a manifold (14, 62), a pulse tube (16, 64), shells and teat-cups to be connected to the udders of the animal, the gripping device applied to a terminal portion of the pulse tube (16, 64) connected to the manifold (14, 62), said device comprising means for a firm, safe and ergonomic grip and means for a quick replacement and maintenance of the unit or components thereof.
