A gas turbine combustor comprising: a cylindrical combustion chamber that burns combustion air and fuel to thereby produce combustion gas ; an outer casing disposed concentrically on an outside of the combustion chamber ; an end cover disposed at an upstream side end portion of the outer casing ; an annular passage formed by an outer peripheral surface of the combustion chamber and an inner peripheral surface of the outer casing , the annular passage allowing the combustion air to flow therethrough; and a passage formed inside a combustion chamber wall between the outer peripheral surface and an inner peripheral surface of the combustion chamber , the passage having a U-shape turned sideways and having ends disposed on an upstream side in a transverse cross-sectional view, wherein the passage includes a first passage that extends in parallel with an axial direction of the combustion chamber and has a supply hole on a first end side thereof, the supply hole communicating with an outside of the combustion chamber wall , and a second passage that has a second end side communicating with a second end side of the first passage and has a jet hole on a first end side thereof, the jet hole communicating with an inside of the combustion chamber wall , said passages arranged in a way such that part of the combustion air that has flowed in through the supply hole flows through the first passage in a direction identical to a flow direction of the combustion gas and thereafter turns back in the second passage to thereby flow in a direction opposite to the flow direction of the combustion gas before jetting out into the inside of the combustion chamber through the jet hole , characterized in that the jet hole is formed radially in the combustion chamber between the first passage and the second passage. a cylindrical combustion chamber that burns combustion air and fuel to thereby produce combustion gas ; an outer casing disposed concentrically on an outside of the combustion chamber ; an end cover disposed at an upstream side end portion of the outer casing ; an annular passage formed by an outer peripheral surface of the combustion chamber and an inner peripheral surface of the outer casing , the annular passage allowing the combustion air to flow therethrough; and a passage formed inside a combustion chamber wall between the outer peripheral surface and an inner peripheral surface of the combustion chamber , the passage having a U-shape turned sideways and having ends disposed on an upstream side in a transverse cross-sectional view, wherein the passage includes a first passage that extends in parallel with an axial direction of the combustion chamber and has a supply hole on a first end side thereof, the supply hole communicating with an outside of the combustion chamber wall , and a second passage that has a second end side communicating with a second end side of the first passage and has a jet hole on a first end side thereof, the jet hole communicating with an inside of the combustion chamber wall , said passages arranged in a way such that part of the combustion air that has flowed in through the supply hole flows through the first passage in a direction identical to a flow direction of the combustion gas and thereafter turns back in the second passage to thereby flow in a direction opposite to the flow direction of the combustion gas before jetting out into the inside of the combustion chamber through the jet hole , characterized in that the jet hole is formed radially in the combustion chamber between the first passage and the second passage. <EOS>