Method of manufacturing a tubular compression article (1), of the sock type (1), half or half-sock or pantyhose, having at least one leg (2), a toe (3), a heel (4), a foot (5) and a ribbed cane (6) in the extension of the leg (2) that delimits an opening for the introduction of the foot in said article (1), which comprises the following steps: a. A first stage of knitting of the leg (2), foot (5) and ribbed cane (6) with at least one mesh thread (7) on a double cylinder knitting loom comprising an upper cylinder and a lower cylinder each working with (m) needles, in the course of which several rows of mesh are knitted in ribbed (n) * (p), (n ') * (p') and (n '') * ( p '') respectively for the leg (2), the foot (5) and the cane (6), being (m), (n), (n '), (n' '), (p), (p ') and (p' ') whole numbers greater than or equal to 1, b. An insertion stage in the course of the first knitting stage of an elastic weft thread (8) between two rows of ribbed meshes (n) * (p) and (n ') * (p') every 1/1 a 1/5 rows of leg meshes (2) and foot (5) and every 1/2 to 1/5 rows of ribbed mesh (6), about at least 50% in number of the number (m) of needles without forming a load, or mesh, the density of weft threads (8) in the ribbed cane (6) being less than or equal to the density in weft threads in the leg (2), c. A second knitting stage of the toe (3) and heel (4) on said double cylinder knitting loom with at least one mesh thread (7) and possibly an elastic weft thread.Procedimiento de fabricación de un artículo tubular de compresión (1), de tipo calcetín (1), media o media-calcetín o pantys, que tenga al menos una pernera (2), una puntera (3), un talón (4), un pie (5) y una caña de canalé (6) en la prolongación de la pernera (2) que delimita una abertura para la introducción del pie en dicho artículo (1), que comprende las etapas siguientes: a. Una primera etapa de tricotado de la pernera (2), del pie (5) y de la caña de canalé (6) con al menos un hilo de malla (7) sobre un telar de tric
