Method for operating a burner of a motor vehicle which has an exhaust tract through which exhaust gas from an internal combustion engine can flow, wherein the burner comprises: - a combustion chamber, in which a mixture comprising air and a liquid fuel is to be ignited and thereby combusted, - an inner swirl chamber, through which a first portion of the air can flow and which causes a swirl-like flow of the first portion of the air, which inner swirl chamber comprises a first outflow opening, through which the first portion of the air flowing through the inner swirl chamber can flow, via which first outflow opening the first portion of the air can be discharged from the inner swirl chamber, - an introduction element, which has at least one outlet opening through which the liquid fuel can flow and which is arranged in the inner swirl chamber, by means of which introduction element the fuel can be introduced into the inner swirl chamber via the outlet opening, through the first outflow opening of which swirl chamber the fuel which exited the introduction element via the outlet opening and was thereby introduced into the inner swirl chamber can also flow, and - an outer swirl chamber, which surrounds at least a length region of the inner swirl chamber in the circumferential direction of the inner swirl chamber and through which a second portion of the air can flow and which causes a swirling flow of the second portion of the air, which outer swirl chamber has a second outflow opening, through which the second portion of the air flowing through the outer swirl chamber, the fuel flowing through the first outflow opening, and the first portion of the air flowing through the inner swirl chamber and the first outflow opening can flow, via which second outflow opening the portions of the air and the fuel can be introduced into the combustion chamber, wherein in order to start the burner: ∘ during a period of time, the fuel is introduced into the inner swirl chamber by means of the introduction element, ∘ during the period of time, active supply of the air to the swirl chambers and ignition in the combustion chamber are completely stopped, and ∘ after the period of time, the swirl chambers are actively supplied with air, the fuel is introduced into the inner swirl chamber by means of the introduction element, and the mixture is ignited and combusted in the combustion chamber. - a combustion chamber, in which a mixture comprising air and a liquid fuel is to be ignited and thereby combusted, - an inner swirl chamber, through which a first portion of the air can flow and which causes a swirl-like flow of the first portion of the air, which inner swirl chamber comprises a first outflow opening, through which the first portion of the air flowing through the inner swirl chamber can flow, via which first outflow opening the first portion of the air can be discharged from the inner swirl chamber, - an introduction element, which has at least one outlet opening through which the liquid fuel can flow and which is arranged in the inner swirl chamber, by means of which introduction element the fuel can be introduced into the inner swirl chamber via the outlet opening, through the first outflow opening of which swirl chamber the fuel which exited the introduction element via the outlet opening and was thereby introduced into the inner swirl chamber can also flow, and - an outer swirl chamber, which surrounds at least a length region of the inner swirl chamber in the circumferential direction of the inner swirl chamber and through which a second portion of the air can flow and which causes a swirling flow of the second portion of the air, which outer swirl chamber has a second outflow opening, through which the second portion of the air flowing through the outer swirl chamber, the fuel flowing through the first outflow opening, and the first portion of the air flowing through the inner swirl chamber and the first outflow opening can flow, via which second outflow opening the portions of the air and the fuel can be introduced into the combustion chamber, wherein in order to start the burner: ∘ during a period of time, the fuel is introduced into the inner swirl chamber by means of the introduction element, ∘ during the period of time, active supply of the air to the swirl chambers and ignition in the combustion chamber are completely stopped, and ∘ after the period of time, the swirl chambers are actively supplied with air, the fuel is introduced into the inner swirl chamber by means of the introduction element, and the mixture is ignited and combusted in the combustion chamber. ∘ during a period of time, the fuel is introduced into the inner swirl chamber by means of the introduction element, ∘ during the period of time, active supply of the air to the swirl chambers and ignition in the combustion chamber are completely stopped, and ∘ after the period of time, the swirl chambers are actively supplied with air, the fuel is introduced into the inner swirl chamber by means of the introduction element, and the mixture is ignited and combusted in the combustion chamber.