In this paper, we propose a new motion vector smoothing scheme which has high reliability and coding efficiency of motion vectors. In motion vector filed, groupings are made using angle and magnitude of the motion vectors. In each group, the unreliable motion vectors are corrected by the motion vector smoothing. In 3$ imes$3 window, motion vector of the current block is made to group, and the motion vector smoothing is performed only in that group. Result of computer simulation shows much improvement of the reliability of motion vectors. Moreover, coding bits of the motion vector are diminished from 0.967 to 6.773 bits per block.