This article uses daily closing price data of iShare EWT listed in American Exchange (AMEX) . To examine between ETF and stock index the process of the price discovery and information transmission. The empirical finding indicates that there has a long-term relationship between ETF and stock index. Two markets contribute cointegration system and adjusting the price by comparing both. In the short run, we can know by using impulse response analysis and variance decomposition analysis, the stock index lead to ETF. But the relationship will tend to convergence after six periods (days).