Early Taiwan investors already were familiar to participate in China Growth through Greater Chinese stock mutual funds .The developments of Greater Chinese stock mutual funds have some differences due to the open door police of china. So, the Greater Chinese Stock funds were distinguished as Chinese concept funds, Chinese A-shares stock funds and Chinese ETFs. We try to evaluate the performance of these funds. In empirical study, we apply the traditional T-M model, H-M-model and modified T-M-GARCH, H-M-GARCH model to compare with the ability of selection ability and market timing ability of different Chinese A-share funds’ manager. In addition, we also investigate the relationship between the scale of the fund, turnover rate and the net return with panel regression analysis model. The empirical results are consistent with some early researches. Most of the greater Chinese A-shares funds manager’s performance haven’t the consistence．Also, the fund managers have the negative market timing ability, alos with the stock selection ability. On the other hand, evidences also confirmed that the fund scale, turnover rate are also significant factors affecting the performance of the fund. The empirical results of this thesis can also available for theoretical or practical operation reference.