The invention relates to a combustion method in a furnace provided with a burner including an inlet for an oxidizer containing from 10% to 30% of oxygen, and a fuel inlet giving into the furnace outside of the oxidizer inlet and at a distance therefrom of between 0.3 and 4 times the equivalent diameter of the oxidizer inlet, said oxidizer being fed into the furnace at a speed of between 10 and 60 m/sec. The method can be used for substantially reducing the nitrogen oxide emissions and is particularly useful for glass furnaces.