A drivetrain of a motor vehicle has an internal combustion engine, an electric motor, a transmission, and a torque converter with a converter bypass clutch. The drivetrain is controlled such that, during an electric operating mode in which the internal combustion engine is deactivated and the electric motor is activated, and/or during a recuperation operating mode in which the internal combustion engine is deactivated and the electric motor is operated as a generator, the converter bypass clutch is permanently closed, at least between shift processes of the transmission, in order to bypass the torque converter.