This paper proposes a 3D model data hiding scheme on a new local coordinate system, which is obtained by the vertex and its 1-ring neighbors, which can describe the appearance of the local geometry better than that of others using only the neighbors. Messages are embedded by modifying spherical coordinate of the central vertex meanwhile the local coordinate system remains unchanged for synchronization. An improvement is also made to achieve better capacity. This algorithm is proved by experimental results to have good imperceptibility, high capacity and robustness against RST attack.