This paper investigates the hedging effectiveness of the Copper Futures contracts using daily settlement prices for the period from 23 July, 2008 to 3 July, 2009. Different econometric models are used to estimate the optimal hedging ratios of Copper Futures on the Shanghai Futures Market. The hedging performance is firstly analyzed by the OLS regression model, the Error Correction model (ECM) and the Bivariate-GARCH Model. Then the Minimum-Variance Hedge Strategy is adopted to evaluate the statistical models. Secondly this research uses a non-parametrical method, the Genetic Algorithms to predict the hedging ratio based on the historical data. Then finally whether the Genetic Programming could produce better hedging parameters than the standard hedging model will be revealed.