January effect and Chinese New Year effect means that the investors will have excess return in January and Chinese New Year. In this research, we examine whether the January effect and Chinese New Year effect exist in Taiwan's stock market by using the GARCH (1, 1) model during November 1995 to December 2003. The empirical results from GARCH (1, 1) model substantiate that January effect and Chinese New Year effect exist in Taiwan's stock market and the return is higher than other months fifteen days before Chinese New Year.