The invention concerns a method for burning a fuel by means of at least one a burner, each burner comprising two half-assemblies (1, 1′) comprising each at least one fuel injecting means (2) associated with a primary oxidant injecting means (3), and at least one secondary oxidant injecting means (4), a first oxidant jet being injected at a first distance from the fuel by the primary injecting means so as to generate a first incomplete combustion, and a second oxidant jet being injected at a second distance (L1), greater than the first distance, from the fuel injecting means so as to generate a second combustion with the remaining fuel of the first incomplete combustion. Said method is characterized in that each half-assembly delivers a combustion power different from the one delivered by the other half-assembly.