Abstract: A difference vector determination element used in an apparatus for coding motion vector includes register memories (PMV) of which number is equal to sum of maximum transmission numbers N and M of forward predictive and backward predictive motion vectors. Motion vector counter counts the number of transmission of motion vectors to output a motion vector count signal. Register index designation signal generator designates indices of (1.about.N (N+1).about.(N+M)) in order of transmission of forward predictive or backward predictive motion vectors on the basis of attached information such as motion compensation mode, prediction type, and picture structure, etc. of motion vector, and the motion vector count signal from the motion vector counter to allow switch to perform switching operation, thus allowing register memories (PMV) and motion vectors to have one-to-one correspondence relationship.