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 decoder to reconstruct a differential motion vector and a prediction candidate identification flag by decoding 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 identified by the prediction candidate identification flag 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.