Based on Law of One Price and using the cointegration concept and the error correction model, this research examines money market integration between two major offshore centers and five domestic markets. Both bivariate and multivariate empirical evidence support the hypothesis that all included markets are cointegrated together and don't drift apart from their long-term fundamental values. Empirical results also show the importance and the influential power of Singapore in the international banking society. Finally, the implications of Singapore's experience are discussed.