A cooling control device has an inverter control unit that executes switching control of an inverter for driving a rotary electric machine, and a cooling control unit. On condition that the switching control is stopped, if it is judged that a control temperature is below a threshold value thereof, the cooling control unit executes driving and control of a cooling device such as to lower a degree of cooling of a cooling target component below the degree of cooling when it is judged that the control temperature is above the threshold value. The cooling target component is composed of at least one of the rotary electric machine and the inverter. The control temperature is either a detected temperature value of the cooling target component or an estimated temperature value from a temperature estimation unit that estimates the temperature of the cooling target component.