A method of operating a motor vehicle drive train having a hybrid drive including an internal combustion engine, an electric motor and an automatic transmission. A clutch is located between the internal combustion engine and the electric motor, and a clutch or a torque converter is located between the electric motor and the automatic transmission such that, when the drive train is powered exclusively by the electric motor, the internal combustion engine can be started by engagement of the clutch located between the internal combustion engine and the electric motor. The clutch, arranged between the internal combustion engine and the electric motor, is engaged during the process of downshifting when the internal combustion engine is started.