A cylindrical burner comprising: a heat chamber, in a peripheral surface of which a plurality of burner ports are opened; a base plate mounted at a base end of the heat chamber; a cover plate mounted at a top end of the heat chamber; a distribution pipe extending in an axial direction from the base plate to the cover plate in the inside of the heat chamber, wherein the distribution pipe partitions the space in the heat chamber into an inner chamber on an inner side of the distribution pipe and an outer chamber on an outer side of the distribution pipe; wherein the base plate has an inlet port for allowing mixed gas to flow into the inner chamber and the distribution pipe comprises a plurality of distribution holes formed in the distribution pipe for allowing the mixed gas to flow from the inner chamber to the outer chamber; an inlet pipe arranged in the inner chamber, wherein the inlet pipe is connected to the inlet port, characterised in that the inlet pipe extends in the axial direction towards the top end of the heat chamber; in that an annular baffle board is arranged in an outer periphery of the distribution pipe and is located in a section a predetermined distance away from a top end of the inlet pipe towards a base end of the distribution pipe, wherein the baffle board narrows a gap between the outer periphery of the distribution pipe and an inner peripheral surface of the heat chamber; and in that a distribution hole density in an area between the top end of the inlet pipe and the top end of the heat chamber falls to approximately zero in a portion (c) towards the top end of the inlet pipe and wherein the distribution hole density falls to approximately zero in a portion (d) between the top end of the inlet pipe and a portion (e) near the arrangement section of the baffle board. a heat chamber, in a peripheral surface of which a plurality of burner ports are opened; a base plate mounted at a base end of the heat chamber; a cover plate mounted at a top end of the heat chamber; a distribution pipe extending in an axial direction from the base plate to the cover plate in the inside of the heat chamber, wherein the distribution pipe partitions the space in the heat chamber into an inner chamber on an inner side of the distribution pipe and an outer chamber on an outer side of the distribution pipe; wherein the base plate has an inlet port for allowing mixed gas to flow into the inner chamber and the distribution pipe comprises a plurality of distribution holes formed in the distribution pipe for allowing the mixed gas to flow from the inner chamber to the outer chamber; an inlet pipe arranged in the inner chamber, wherein the inlet pipe is connected to the inlet port, characterised in that the inlet pipe extends in the axial direction towards the top end of the heat chamber; in that an annular baffle board is arranged in an outer periphery of the distribution pipe and is located in a section a predetermined distance away from a top end of the inlet pipe towards a base end of the distribution pipe, wherein the baffle board narrows a gap between the outer periphery of the distribution pipe and an inner peripheral surface of the heat chamber; and in that a distribution hole density in an area between the top end of the inlet pipe and the top end of the heat chamber falls to approximately zero in a portion (c) towards the top end of the inlet pipe and wherein the distribution hole density falls to approximately zero in a portion (d) between the top end of the inlet pipe and a portion (e) near the arrangement section of the baffle board.