A light source apparatus includes a light source, a duty determining part, a luminance shifting determining part and a duty compensation part. The light source includes a plurality of light-emitting blocks. The duty determining part determines a duty of light-emitting blocks by using a block representative value obtained from a plurality of image blocks that are divided in accordance with a plurality of light-emitting blocks. The luminance shifting determining part compares block representative values of a previous frame with block representative values of a current frame to determine whether a luminance shifting is generated at an adjacent light-emitting block. The duty compensation part compensates a duty of the adjacent light-emitting blocks when the luminance shifting is generated at the adjacent light-emitting blocks. Thus, the duty of the adjacent light-emitting blocks determined as a block representative value is compensated so that an occurrence of flicker may be decreased.