A control device of a vehicle drive device includes a mechanical oil pump, a hydraulic power transmission device transmitting power of the engine and the electric motor to drive wheels via an interposed engagement device when it is engaged. While the electric motor drives the mechanical oil pump while an operation of the engine is stopped, the control device executing neutral control of putting the engagement device into a slip state or released state to suppress power transmission between the hydraulic power transmission device and the drive wheels, the hydraulic power transmission device including a lockup clutch mechanically coupling input and output members of the hydraulic power transmission device when engaged, the lockup clutch being engaged during executing of the neutral control. Also, after it is determined that the engine is likely to be restarted after a stop of operation while the vehicle remains stopped, the lockup clutch being released.