Abstract: The invention relates to a process for the production of hollow bodies of revolution formed from threads extending in three different directions, as well as to a machine for performing this process. The machining of a mandrel, the installation or implantation of retaining or locking rings on this mandrel, the winding and weaving of the threads in circumferential, longitudinal passages formed between the locking rings and the appropriate dimensional controls and checks are carried out on the same machine. On one side of the horizontal axis of the machine is provided a mobile support on which can be mounted the subassemblies for machining the mandrel, the implantation of the locking rings, winding and control, the weaving system being placed on the other side of the axis. In order the facilitate the weaving operations, the weaving carriage moves parallel to a fictitious generatrix joining the ends of the body, the weaving means being oriented perpendicular to said generatrix.