Abstract: A process is for the operation of a burner, particularly an exhaust gas burner, which is intended for the regeneration of particle filter device in the exhaust gas section of a diesel internal combustion engine, for example. The burner has a precombusiton chamber, in which precombustion of a mixture of auxiliary air, exhaust gas and fuel is carried. In an afterburning chamber, heat generated from the precombustion chamber is used for the preparation of the fuel fed into the afterburing chamber to accelerate the combustion reaction. A burner intended for this process has a fuel feed device which introduces fuel into the precombustion chamber in a manner such that at least a portion of the fuel passes, in a manner that is substantially unaffected by the combustion in the precombustion chamber, into the afterburning chamber.