The invention relates to a method for the combustion of a fuel and an oxidant, in which at least one jet of fuel and at least two jets of oxidant are injected. According to the invention, at least one first oxidant is injected at a distance I1, at most 20 cm, from the fuel injection point and at least one second oxidant is injected at a distance I2 from the fuel injection point, I2 being greater than I1. The aforementioned oxidants are injected in quantities such that the sum of the quantities thereof is at least equal to the stoichiometric quantity of oxidant necessary in order to ensure the combustion of the injected fuel. Moreover, the first oxidant is oxygen-enriched air having a temperature of at most 200 DEG C. and the second oxidant is air preheated to a temperature of at least 300 DEG C.