Method for warming up at least one catalytic converter arranged downstream of a spark-ignition, direct injection internal combustion engine, whereby after an end of an engine start (t1) of the internal combustion engine an exhaust gas temperature is increased at least temporarily by at least one engine-related measure, and the engine-related measures comprise a multiple injection, wherein at least two fuel injections into the cylinder are performed within an intake and compression stroke of a cylinder of the internal combustion engine, and/or a retardation of an ignition angle, characterized in that after the conclusion of the engine start (t1), an operation with 30 to 100% of an injected fuel quantity occurs during a first phase with an essentially homogeneous mixture preparation at an ignition time, and a multiple injection operation occurs in a subsequent second phase, wherein at the ignition time at least 35% of an injected fuel quantity is present as stratified charge and at least 20% of the fuel quantity is present in homogeneous distribution.