<p>: A gas turbine combustor that produces a small amount of NOx has a head combustion chamber and a rear combustion chamber which is larger in diameter than the head combustion chamber. The head combustion chamber is provided with an axially extending hollow frustoconical tubular member to form an annular combustion space therein. Air holes are provided for axially jetting air into the annular combustion chamber. There are also air holes formed on the peripheral wall for injecting air and a plurality of fuel nozzles projected into the annular combustion space for injecting fuel into a vortex formed by the air jet and the injected air flow, whereby the flame is stabilized and lean combustion can be performed. The rear combustion chamber has a fuel and air supply on the upstream side, which consists of air inlets formed by whirling vanes and fuel nozzles disposed in the air inlets so that the fuel and air are mixed well. The fuel and air mixture is jetted substantially axially, while whirling it so that hot spot formation is avoided. As a result, the NOx formation is very limited.</p>
