A control device of a vehicle including an engine, a power transmission device, a shift operation device, and a switching device includes: a shift-switching control portion outputting the control command signal when it is determined that the shift switching is permitted, and not outputting the control command signal when it is determined that the shift switching is prohibited, at the time of a shift switching operation; and an engine-starting control portion outputting a first signal causing the shift-switching control portion to determine that the shift switching is prohibited and initiating starting of the engine after determining that the shift switching is not being performed when it is determined that the shift switching is permitted at the time of an engine starting operation performed by the driver for starting the engine, and immediately initiating the engine when it is determined that the shift switching is prohibited.