A flush-type integral threaded joint with truncated-cone threads, with two scaling surfaces 11′, 12′, 11″, 12″) set at the end of the threaded portions (7, 8), and with two annular scaling shoulders (5′, 6′, 5″, 6″). The two threaded portions (7, 8) of the male element (1) and female element (2), respectively, have the same value of conicity, and the two sealing surfaces (11′, 12′, 11″, 12″) are, in one case, conical or cylindrical, and in the other spherical. The threaded portion of each male and female element may have an end area with a thread that is not perfect.