A pipe connection includes a ball joint having shell parts and pipe connection elements at the ends of the shell parts which face away from each other are to be connected to a respective pipe section. The shell parts surround one another in a contacting manner and define a respective longitudinal center line; they are rotatable relative to one another between an aligned position, in which the longitudinal center lines coincide, and a rotated position, in which the longitudinal center lines form an angle which differs from zero. The shell parts together enclose an axial passage which extends between the ends of the shell parts. A sealing element is provided between the outermost and innermost shell part. A lining extends between the outermost shell part and the corresponding pipe connection element. The inner lining surface has a curvature corresponding to that of the outer surface of the innermost shell part.