A gas turbine combustor, comprising: an inner casing that defines thereinside a combustion chamber; an outer casing disposed so as to cover the inner casing; an annular flow path disposed between the inner casing and the outer casing, the annular flow path allowing high-pressure air to flowing therethrough; a fuel header disposed downstream of the outer casing in a flow direction of the high-pressure air; a plurality of fuel nozzles supported concentrically on the fuel header; an air hole plate disposed downstream of the fuel nozzles in a flow direction of fuel, the air hole plate having a plurality of air holes associated with the respective fuel nozzles; characterized in that the gas turbine combustor comprises: a guide including a wall portion that protrudes from an outer peripheral surface of the air hole plate further than an outer peripheral side of the inner casing and a bent portion formed into a convex shape protruding toward the outer casing and the fuel header and arcuately connected with those of said plurality of air holes that are arranged on an outermost periphery in a radial direction of the air hole plate; and an outer peripheral flow path defined between the outer peripheral surface of the air hole plate and the inner casing, the outer peripheral flow path supplying an outer peripheral portion of a part of the combustion chamber on a side of the air hole plate with the high-pressure air. an inner casing that defines thereinside a combustion chamber; an outer casing disposed so as to cover the inner casing; an annular flow path disposed between the inner casing and the outer casing, the annular flow path allowing high-pressure air to flowing therethrough; a fuel header disposed downstream of the outer casing in a flow direction of the high-pressure air; a plurality of fuel nozzles supported concentrically on the fuel header; an air hole plate disposed downstream of the fuel nozzles in a flow direction of fuel, the air hole plate having a plurality of air holes associated with the respective fuel nozzles; characterized in that the gas turbine combustor comprises: a guide including a wall portion that protrudes from an outer peripheral surface of the air hole plate further than an outer peripheral side of the inner casing and a bent portion formed into a convex shape protruding toward the outer casing and the fuel header and arcuately connected with those of said plurality of air holes that are arranged on an outermost periphery in a radial direction of the air hole plate; and an outer peripheral flow path defined between the outer peripheral surface of the air hole plate and the inner casing, the outer peripheral flow path supplying an outer peripheral portion of a part of the combustion chamber on a side of the air hole plate with the high-pressure air. a guide including a wall portion that protrudes from an outer peripheral surface of the air hole plate further than an outer peripheral side of the inner casing and a bent portion formed into a convex shape protruding toward the outer casing and the fuel header and arcuately connected with those of said plurality of air holes that are arranged on an outermost periphery in a radial direction of the air hole plate; and an outer peripheral flow path defined between the outer peripheral surface of the air hole plate and the inner casing, the outer peripheral flow path supplying an outer peripheral portion of a part of the combustion chamber on a side of the air hole plate with the high-pressure air.