Abstract: A multiple fiber formation machine permits a simultaneous drawing of a plurality of N optical fibers and then a linear multifiber stranding. It comprises a first drawing assembly for a plurality of N fibers constituted by N regulatable preformed supports, a system of N fiber formation enclosures, a system for the simultaneous coating of N fibers, a plurality of N drawing or pulley capstans, and a fiber diameter measuring system. A second linear multifiber stranding assembly comprises a cable support supply system, positioning means for the N fibers from the first drawing assembly, a system of coating the support with its fibers and a cable reception drum.