A hydraulic control apparatus for a hydraulic torque converter may include a lock-up switch valve and a slip switch valve. The lock-up switch valve may be connected to the first and second hydraulic lines of the hydraulic torque converter to control hydraulic pressure supplied to the disengagement-side oil chamber and the engagement-side oil chamber, and adapted to supply the hydraulic pressure exhausted from the engagement-side oil chamber to a lubricating portion or a cooling portion or to supply hydraulic pressure supplied from an additional hydraulic pressure supply source to the lubricating portion or the cooling portion. The slip switch valve may be disposed between the third hydraulic line of the hydraulic torque converter and the lock-up switch valve and adapted to selectively exhaust or not exhaust the hydraulic pressure supplied to the engagement-side oil chamber to the lock-up switch valve.