Control device and a control method of a vehicle equipped with an automatic transmission

An ECU executes a program including the steps of: determining whether or not the conditions for execution of low-temperature neutral control: the temperature of the automatic transmission hydraulic fluid is at most a threshold value; the shift position is D or R position; the vehicle speed is zero; and the brake is ON and the vehicle is stopped, are continuously satisfied for a period of time represented by a threshold value; executing the neutral control when the conditions for execution of low-temperature neutral control are continuously satisfied for at least the period represented by the threshold value; returning from the neutral control when the conditions for execution of low-temperature neutral control are not satisfied; and restricting the throttle opening position in returning from the neutral control.