A control device of a vehicle drive device includes an engine, a supercharger pressurizing intake air of the engine, and an automatic transmission outputting power of the engine to drive wheels. The control device makes a temporal rise rate of an engine torque larger from a predetermined time point during an upshift of the automatic transmission, the upshift being a shift with the engine torque after end of the upshift made larger than that before start of the upshift, the predetermined time point being made earlier when a response delay of supercharging by the supercharger becomes larger. During the upshift, the engine torque is raised in accordance with an assumed progress of the upshift from the predetermined time point and the assumed progress of the upshift being an assumption that the upshift does not progress until the predetermined time point and the upshift starts progressing from the predetermined time point.