A bidirectional metal-to-metal seal of material composition with low modulus of elasticity and yield strength which is gall resistant and designed to seal against fluid pressure in the annulus between concentric cylindrical members. The seal comprises an annular body of U-shape and radial cross section with an annular base and a pair of coaxial sealing lips integral therewith. An annular bridge of similar composition is inserted in the gap between the sealing lips and fluid pressure in the annulus is cemented to the gap by recesses in the inner wall of one of the sealing lips. The exterior surface of the one lip is provided with a pair of axially spaced circumferential flanges, the radial extremities of which provide annular sealing surfaces. The exterior of the other lip is provided with a central circumferential cylindrical sealing surface between adjoining tapered surfaces, diverging from the respective ends of said other lip to the central cylindrical sealing surface and the upper one of which is adapted to engage a similarly tapered shoulder on the member with which it is to seal.