The object of this thesis is trying to determine the risk-return relationship in bull and bear market.Whether it will be vary by the market conditonal(bull and bear market) .We gather TAIEX and the eight industires indices from of Taiwan stock market.Based on non-peremetric Bry-Boschan which was revise by Pagan and Sossounov(2003) to identify bull and bear market.The empirical result indicate that the relationship between risk and return in bull market is positive significant,and the bear market is negative significant.Even when macroeconomic variables taken into the account,these empirical result remain the same.The macroeconomic variable will help to predict the relationship between risk and return relation in Taiwan stock market.