A sealed threaded connection with a male end and a female end, the male end having a sealing surface and finishing in a terminal surface orientated transversely to the axis of the connection. The female end has a threaded zones inclined in accordance with a conical generatrix forming an angle of taper alpha; with the axis of the connection, sealing surface being cooperating with the sealing surface of the male end along a radially interfering contact zone, and finishing in a terminal surface which is transversely orientated, the tangent at the contact zone of the sealing surface being inclined along a line forming an angle beta; with the axis of the threaded connection, wherein the inclination defined by the conical generatrix relative to the threaded zones is in a direction opposite to the inclination defined by the tangent at the contact zone of the sealing surface.