A pipe seal connection defines the seal between confronting pipe ends of two pipes which are coaxial and rotatable relative to each other. The confronting pipes ends are provided with spaced conical surfaces forming therebetween an annular slot which widens radially outwardly. An annular seal ring is positioned within the annular slot. A clamping band circumferentially surrounds the annular sealing ring and presses the sealing ring radially inwardly into contact with the spaced conical surfaces.