Recently, various three-dimensional(3-D) mesh coding schemes have been proposed to improve compression efficiency or error resilience. However, we need to consider both coding efficiency and error resilience when we send 3-D mesh data over bandwidth-limited transmission channels. In this paper, we propose a sequential mesh coding algorithm using the vertex pedigree based on the wave partitioning. After a 3-D mesh model is partitioned into several small processing blocks (SPB) using wave partitioning, we obtain vertices for each SPB along circumferences defined by outer edges of the attached triangles. Once all the vertices within each circumference are arranged into one line, we can encode the mesh model. Computer simulations show that the proposed algorithm provides both higher error resilience and improved coding efficiency.