Abstract: A chain with curvilinear path for supporting flexible conduits of the type in which the links are constituted by two sides each having a male connection at one end and a female connection at the other, which can be connected male to female to the adjacent link by way of an appropriate dowel thus permitting reciprocal articulation, said sides being connected to one another by means of a root and a detachable upper link stud which form the support surface for the flexible conduits carried by the chain, characterized by the fact that the said links are curvilinear, thus permitting articulated movement of each link in order to follow the traditional curve during the back and forth movement but also to take on a skewed attitude during the course of the curve in order to be able to follow the rotational movements of the rotating equipment which must be supplied by the flexible conduits. Thus this chain can also be applied to machine tools and robots which carry out reciprocal rotary movements.