Abstract: The assembly arrangement according to the invention concerns the tubes which are used primarily in oil industry installations. It permits the sealing assembly of a male end to a female end, each provided with frustoconical screwthreads.The end region of the male component comprises a convex frustoconical sealing surface for providing a metal-metal sealing connection with a surface of the female component, the internal edge of which is connected to the concave frustoconical abutment region and the external edge of which is connected to the external surface of the end region, having a portion parallel to the generatrix which is tangential to the bottom of the threads of the male screwthread. The diameter of the external edge is such that the prolongation of the generatrix which is tangential to the thread bottoms of the male screwthread passes beyond said external edge.Use for the assembly of tubes with male ends by means of female sleeves.