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.