In a method of coupling a first pipe with a second pipe having a circumferential bead, use is made of an annular clamping band which is applied on the outside of the end beads and is tightened around the end beads when the pipes are placed end to end. The clamping band has on its inside a sealing ring, which is arranged against the end beads. A first recess of the sealing ring is formed on and held on the outside of the end bead of the first pipe in such a manner that a second recess of the sealing ring is arranged axially outside this end bead. The second recess of the sealing ring is then formed on the end bead of the second pipe, and finally the clamping band is tightened around the end beads with the sealing ring placed between the clamping band and the end beads.