A digital photographing apparatus for photographing a subject, the digital photographing apparatus comprising: a focus lens; a lens driving unit arranged to drive the focus lens in an optical axis direction; a focus detection unit arranged to detect an AF location by determining a peak value of a focus detection evaluation value in a contrast auto focusing method by moving the focus lens; a controller; characterised in that the controller is arranged to: store an AF result of the determined peak value by obtaining a time and a location of the subject calculated from a focal distance (f) of the focus lens and an AF location detected during contrast AF; calculate a velocity of the subject along the optical axis of the focus lens from a difference in location of the subject between a previous AF result and a current AF result, and a time interval therebetween in a continuous image shooting operation; drive the focus lens to the AF location through a U-turn lens driving operation for correcting backlash of the focus lens when the calculated velocity of the subject is less than a predetermined value; and omit a U-turn lens driving operation for correcting backlash of the focus lens and drive the focus lens to a location that is obtained by adding a backlash correction value to the last detected AF location, when the calculated velocity of the subject is equal to or greater than the predetermined value; wherein the backlash correction value is a positive value when the AF location is greater than a current location of the focus lens; and wherein the backlash correction value is a negative value when the AF location is less than or equal to the current location of the focus lens. a focus lens; a lens driving unit arranged to drive the focus lens in an optical axis direction; a focus detection unit arranged to detect an AF location by determining a peak value of a focus detection evaluation value in a contrast auto focusing method by moving the focus lens; a controller; characterised in that the controller is arranged to: store an AF result of the determined peak value by obtaining a time and a location of the subject calculated from a focal distance (f) of the focus lens and an AF location detected during contrast AF; calculate a velocity of the subject along the optical axis of the focus lens from a difference in location of the subject between a previous AF result and a current AF result, and a time interval therebetween in a continuous image shooting operation; drive the focus lens to the AF location through a U-turn lens driving operation for correcting backlash of the focus lens when the calculated velocity of the subject is less than a predetermined value; and omit a U-turn lens driving operation for correcting backlash of the focus lens and drive the focus lens to a location that is obtained by adding a backlash correction value to the last detected AF location, when the calculated velocity of the subject is equal to or greater than the predetermined value; wherein the backlash correction value is a positive value when the AF location is greater than a current location of the focus lens; and wherein the backlash correction value is a negative value when the AF location is less than or equal to the current location of the focus lens. store an AF result of the determined peak value by obtaining a time and a location of the subject calculated from a focal distance (f) of the focus lens and an AF location detected during contrast AF; calculate a velocity of the subject along the optical axis of the focus lens from a difference in location of the subject between a previous AF result and a current AF result, and a time interval therebetween in a continuous image shooting operation; drive the focus lens to the AF location through a U-turn lens driving operation for correcting backlash of the focus lens when the calculated velocity of the subject is less than a predetermined value; and omit a U-turn lens driving operation for correcting backlash of the focus lens and drive the focus lens to a location that is obtained by adding a backlash correction value to the last detected AF location, when the calculated velocity of the subject is equal to or greater than the predetermined value; wherein the backlash correction value is a positive value when the AF location is greater than a current location of the focus lens; and wherein the backlash correction value is a negative value when the AF location is less than or equal to the current location of the focus lens. wherein the backlash correction value is a positive value when the AF location is greater than a current location of the focus lens; and wherein the backlash correction value is a negative value when the AF location is less than or equal to the current location of the focus lens.