This article examines the dynamics of the linkages between Shanghai and Hong Kong stock indices. While the volatility linkage is analysed by a Multivariate Generalized Autoregressive Conditional Heteroscedasticity (MVGARCH) framework, the dependence of returns is examined by a copula approach. Eight different copula functions are applied in this study including two time-varying ones which capture the dynamics of the linkage. The result shows significant tail dependence of the returns in the two markets.