In this essay, we analyze the dependence structures of equity, bond and money markets in Australia, the United States as well as the linkages between the two countries. The dependence structures have become more important for investors, risk managers and regulatory policy makers during the current period of financial crisis. Especially investors should be aware of the dependence structures which show the co-movement patterns between different markets in order to diversify and reduce the risks of their portfolios. To capture the structure linkages between different markets, we propose the combination of empirical distributions and time- varying copula models. Furthermore, we show an effective and informative way to analyze dependence between variables, especially to provide a better understanding of the co-movements of financial variables as well as the risks associated with dependence structures among them. The empirical findings provide some important implications of a wide range of areas related to investment in Australian and US financial markets.