The present invention relates to a head lamp apparatus of an automobile and a method of controlling the same, and the head lamp apparatus of the automobile includes: left and right static bend lights (SBL) for lighting to a left or right side of a driving direction of the automobile; an automobile speed sensing sensor; a global positioning system (GPS); and a controller configured to turn on at least one of the left SBL and the right SBL when the driving speed of the automobile sensed by the automobile speed sensing sensor is equal to or smaller than a reference speed when the driving position of the automobile unit is a predetermined position to enter a crossroad so that a time at which the SBL is turned on is controlled by reflecting the reference speed when the automobile enters the crossroad, thereby improving visibility of a driver at the crossroad.