An apparatus for decoding a current motion vector of a current block in a current frame from a bitstream, includes: a differential motion vector decoder to reconstruct a differential motion vector by decoding an encoded differential motion vector included in the bitstream; and a motion vector reconstructor to select one or more motion vector prediction candidates to predict the current motion vector, determine a predicted motion vector 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.