Abstract: A method of obtaining a core-spun yarn, according to which the fibers are subjected to a momentary false twist, and elementary fibers are projected on the spun yarn in the upwardly twisting area by means of a movable surface. According to the invention, all of the fibers (core and sheath) are subjected to the action of a common drawing system. After drawing, part of the fibers are delivered to the guiding surface to form the sheath while the other part of the fibers, which will form the core, is moved away from said surface and returned in contact therewith downstream of the zone in which the first part of the fibers are delivered. It is possible with this method to obtain, from only one supply, a variety of yarns of which the core and sheath can be composed of fibers of the same or of a different nature.