Provided is a control unit capable of improving drivability in a vehicle driving device provided with an engine with a supercharger and an automatic transmission. An electronic control unit (52) suppresses the progress of supercharging pressure increase if the supercharging situation before the start of the inertia phase of an upshift is the situation of the beginning side of the progress of the supercharging pressure increase, and meanwhile delays the start timing of the inertia phase of the upshift if the supercharging situation before the start of the inertia phase is the situation of the end side of the progress of the supercharging pressure increase. Accordingly, the electronic control unit (52) can suppress a transmission shock that may occur by an overlap between the torque variation of an engine (10) due to the increase of supercharging pressure (Pcmout) and the transmission operation of an automatic transmission (12). In addition to this, if the supercharging situation is the situation of the beginning side of the progress of the supercharging pressure increase, the execution of the upshift takes precedence over the supercharging pressure increase, and therefore an excessive delay in the end of the upshift is avoided, thereby enabling improved drivability.