Abstract: A method of manufacturing a ball-and-socket joint particularly for use with pipe lines, which comprises a first coupling portion provided with a coupling rim and having a conical inner wall and a second coupling portion at least partly surrounding the first coupling portion and provided with a coupling rim and part of a spherical wall, the portions being connected with each other by means of a lock ring, the two coupling portions are separately made on a jig, the external dimensions of which correspond with the internal dimensions of the coupling portion concerned, for which purpose layers of crossing, continuous, resin-impregnated threads are wound around the jig, while said threads are at an acute angle to the longitudinal axis of the coupling portion concerned, in order to form the conical wall and the part of the spherical wall respectively.