A method and apparatus for providing air cooling to the venturi and the combustion chamber in a low NOx emission combustor as used in a gas turbine engine that includes providing an annular air passage surrounding said combustion chamber and venturi where said cooling air enters the combustion chamber/venturi near the aft portion of the combustion chamber passing the air along the combustion chamber, past the venturi where the air exits near the front portion of the convergent area of the venturi. The structure prevents any channel/passage cooling air from being received into the combustion chamber at the same time introducing the outlet of the cooling air after it has passed over the combustion chamber of the venturi and been heated back into the premix chamber thereby improving the efficiency of the combustor while reducing and lowering NOx emission in the combustion process.