Abstract: The invention concerns a sealing connector with variable geometry, comprising two hollow elements (2, 3) having respectively a truncated surface (22, 32) inclined at an angle (&agr;) relative to the generator (23, 33) of the element, each truncated surface (22, 32) has a circular and planar contact surface to enable the elements (2, 3) to be assembled by fixing means such that the generators (22, 23) of each element are assembled in one single point of intersection (C) so that the connection (1) may present two different angular positions when one of the two elements rotates.