Abstract: The traditional hedging models only consider the asset risk at the end of hedging period and the information supplied by the sample of assets prices are not fully taken into account. A kind of hedging models,called whole period hedging models, are proposed to fully take the information of assets prices into account and to consider the risks of hedging assets at the whole hedging period. The whole period hedging models control the risks in a stable level during the whole hedging period by minimizing the asset risks of different time periods within the hedging period. Empirical analyses and comparisons are made based on Hu-Shen 300 index and it's simulated stock index future. GARCH curves are presented to show the dynamic ffects of these hedging models. Empirical and comparison results show that the effects of the whole period hedging models are better than those of the traditional hedging models, and that the whole period hedging models can reduce the risks when the hedging is terminated ahead of the hedging period.