Abstract: A method for heating an electrically heatable catalytic converter in an exhaust duct of a motor vehicle having a combustion engine. To heat the catalytic converter prior to a start of the combustion engine, the catalytic converter should already be electrically heated prior to the start of the combustion engine, and the oxygen storage capacity of the electrically heatable catalytic converter should be filled. Thus, an efficient exhaust-gas aftertreatment is made possible already at the start of the combustion engine. A further heating of the catalytic converter by a combined electrical and chemical heating takes place following an electrical preheating phase after the start of the combustion engine by the exothermic reaction of unburned fuel components on a catalytically active surface of the electrically heatable catalytic converter. Also, a motor vehicle having a combustion engine and an exhaust system in which a method according to the present invention is implemented.