This present study uses monthly data, applies bounds testing approach of Pesaran, Shin and Smith (2010) to investigate the long-term relationship among oil price, its volatility, and Taiwan stock index. As oil price volatility is an unobserved variable, this study first uses GARCH model to estimate the oil price volatility, and then applies bound testing approach to investigate the long-term relationship among oil price, its volatility, and stock index. The empirical result shows no significant long-term relationship among oil price, its volatility and Taiwan stock index. Stock index is a weighted index, it may offsets the industrial effect of oil price and its volatility and leads to insignificant result.