This study discusses the dynamical volatility and correlation relationships among SSE Composite Index, Hang Seng China Enterprises Index and Hang Seng China Enterprises Futures Index under the crisis of subprime mortgage and global financial tsunami. Based on the empirical study, we find the VEC GJR-GARCH model is better than pure Vector error correction(VEC) approach when analyzing the interactions of these returns structure. By using ICSS method which proposed by Inclan and Tiao(1994), we can catch up the structure change points for variance processes. The variance structure change periods just correspond to the event of subprime mortgage and financial tsunami events. Under the method of VEC DCC GJR-GARCH model, we also find these crisis events will boost the level of volatility to respective financial market. As to the impact for the correlation structure created from the crisis events among these target markets, the influence from the financial tsunami event is stronger than the subprime mortgage event from the viewpoints of statistics significance.