A hybrid motor vehicle includes a differential having a differential mechanism equipped with a first rotating element that is connected to an engine, a second rotating element that is connected to a first electric motor and a third rotating element connected to both a second electric motor and a transfer member; and a transmission provided in a power transmission path, extending from the transfer member to driven wheels, that establishes a plurality of transmission ranges by selectively operating a plurality of coupling devices. An irreversible rotation member connected to a non-rotation member against reverse rotation through a one-way clutch is provided in the transmission. When the second electric motor is malfunctioning, an engine start control unit starts the engine by driving the first electric motor while selectively engaging the coupling devices to connect the transfer member to the irreversible rotation member.