1. An apparatus of estimating a motion of a three dimensional (3D) video, comprising: a color/depth motion estimating unit to estimate a motion of a depth image macroblock based on a motion vector of a color image macroblock using at least one processor; a depth/color motion estimating unit to estimate a motion of a color image macroblock based on the motion vector of the depth image macro block; and a motion estimation selecting unit to select a first estimation result by the color/depth motion estimating unit or a second estimation result by the depth/color motion estimating unit.