A control device of a vehicle drive device having an electric motor coupled to a power transmission path between an engine and drive wheels, the control device providing fuel cut electric motor drive control of increasing a rotation speed of the engine with a drive force of the electric motor and interrupting fuel supply to the engine at the time of acceleration operation of a vehicle, and the fuel cut electric motor drive control being terminated if a rotational angular acceleration of the engine becomes equal to or less than a predetermined engine rotational angular acceleration determination value after starting provision of the fuel cut electric motor drive control.