A drive train of a motor vehicle with an internal combustion engine, an electric motor and a coupling device. The coupling device includes a first coupling unit allocated to the internal combustion engine and a second coupling unit allocated to the electric motor. By way of the coupling device, the internal combustion engine and/or the electric motor can be connected for drive purposes with a common drive shaft to drive at least one wheel of the motor vehicle. The first coupling unit and the second coupling unit are separate components which can be coupled together automatically by a clutch depending on a difference between a rotation speed of the internal combustion engine and a rotation speed of the electric motor.
