A gas turbine combustor of the present invention includes a cylindrical combustor liner, a cylindrical combustion chamber inside the combustor liner, and a burner that includes a plurality of fuel nozzles for injecting the gas fuel into the combustion chamber and an air hole plate with a plurality of air holes for guiding the compressed air into the combustion chamber. The air hole plate joins the combustor liner and is disposed between the fuel nozzles and the combustion chamber. The junction between the air hole plate and the combustor liner is provided with an inclined component which covers the junction and has a connecting surface connecting the air hole plate and the combustor liner.