An apparatus of encoding an image in an advanced motion vector prediction (AMVP) mode can include an inter prediction module for determining motion information of a current block, and generating a prediction block of the current block using the motion information; a transform module for transforming the residual block to generate a transformed block; a quantization module for quantizing the transformed block using a quantization parameter and a quantization matrix to generate a quantized block; a scanning module for scanning quantized coefficient components of the quantized block; and an entropy coding module for entropy-coding the scanned quantized coefficient components of the quantized block; in which the motion information is encoded by performing the sub-steps of: constructing an AMVP list using available motion vector candidates of a left motion vector candidate, an above motion vector candidate and a temporal motion vector candidate; selecting a motion vector predictor among motion vector candidates of the AMVP candidate list; generating a differential motion vector by subtracting the motion vector predictor from the motion vector; and encoding a reference picture index, the differential motion vector and an AMVP index specifying the motion vector predictor.