A digital photographing apparatus includes a focus lens, a focus detection unit that detects focus in a contrast auto focusing (AF) method by moving the focus lens, and a controller that calculates a velocity of a subject from a first focus detection result and a second focus detection result in a continuous shooting operation. The controller restricts a U-turn driving for correcting backlash of the focus lens when the calculated velocity of the subject is equal to or greater than a predetermined value. An AF initiating location and a final correction operation are adaptively adjusted based on the velocity of the subject in each process of the continuous shooting, thereby improving an AF performance and the continuous photographing speed.