An apparatus for reconstructing a current motion vector of a current block in a current frame by determining a predicted motion vector of the current motion vector, includes: a differential motion vector decoder to reconstruct a differential motion vector by decoding an encoded differential motion vector included in a bitstream; and a motion vector reconstructor to derive one or more motion vector prediction candidates to predict the current motion vector, set the predicted motion vector to a motion vector prediction candidate determined among the one or more motion vector prediction candidates, and reconstruct the current motion vector of the current block by adding the predicted motion vector to the differential motion vector.