The object of the present invention is to generate automatic down shift in a manual shift mode at appropriate timing. According to the control device of the automatic transmission for the vehicle, when performing the automatic down shift in the manual shift mode, an ECU calculates the residual driving force of the vehicle based on the detected vehicle speed and the engine load, the calculated vehicle driving resistance in advance and the estimated upgrade gradient and performs the correction of the automatic down shift speedometer switch based on the calculated residual driving force. Concretely, the residual driving force is less and the automatic down shift vehicle speed is arranged at the switch of the high speed side more possibly. Therefore, the automatic down shift is generated at the appropriate timing when the residual driving force of the vehicle is low. Thus it is possible to prevent the vehicle speed from stagnating. This makes it possible to prevent the slip ratio of the lock-up clutch from stagnating in the loose region for a long time. Therefore, it is possible to effectively suppress rise in temperature of the torque converter.