Abstract: A method for driving a parallel hybrid drive train of a motor vehicle with at least one internal combustion engine, one electric motor and an output. The electric motor is arranged in the drive train between the output and the internal combustion engine. A shifting element is arranged between the internal combustion engine and the electric motor. A hydrodynamic torque converter is arranged between the electric motor and the output. A target output torque applied at the output is subject to the slip hydrodynamic torque converter, is produced by at least the internal combustion engine and the electric motor, and is determined with reference to at least the required target output torque, an actual turbine speed of the hydrodynamic torque converter, or a an equivalent speed of the parallel hybrid drive train, and the actual speed of the electric motor.