Secure Socket Layer (SSL) is widely utilized to establish secure Web communication. However. SSL communication needs more computational power than a TCP one. Therefore, convergence of numerous SSL accesses to SSL server makes the server's load rise critically. As a solution for it , a load-balancing cluster for SSL Web system is popular to apply. However, there is possibility that the existing load-balancing schemes degrade total system's performance, because of out of balance of loads. In this paper, we reconsider the existing load-balancing clusters for SSL Web system , we propose a new load-balancing cluster that can dynamically migrate SSL session from one to other servers. We also show its implementation and evaluate i t from the viewpoint of its performance.