In a vehicle having a torque converter and a lock-up clutch for effecting engagement and disengagement between input and output shafts of the torque converter, an engine brake controlling apparatus provides engine brake control independently of vehicle speed and includes a device for detecting the number of revolutions of the input shaft of the torque converter; a device for detecting the number of revolutions of the output shaft of the torque converter; and a control device for allowing the lock-up clutch to be engaged when the number of revolutions of the output shaft has exceeded the number of revolutions of the input shaft and for releasing the lock-up clutch when brake operation is detected.