This paper applies a GARCH(1,1) model to investigate empirically the effects of daily oil prices change on stock markets during 1 January 1999 to 31 December 2004 Asia Dubia closing price and daily stock index in Hong Kong, Singapore, South Korea and Taiwan. The empirical analyses indicate that oil price change affect negatively stock market returns. The empirical also shown Taiwan and South Korea market have asymmetric phenomenon and according to Joint test suggest that Taiwan and South Korea market can use the asymmetric model to apply.