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In this paper, H∞ loop shaping controller was adopted to realize balance control of double inverted pendulum system. The choice of weight function directly affect controller performance for H∞ loop shaping controller. Weight function is often got by trial and error of designer. This method is not only inefficient, but unable to get the optimal control performance. This paper introduces artificial bee colony algorithm. The algorithm has excellent global optimization ability and can get the weight function of H∞ loop shaping controller and ensure the optimal controller performance. The simulation results show that artificial bee colony algorithm can achieve the desired weight function parameters. H∞ loop shaping controller can keep the double inverted pendulum system the equilibrium position by outside interference.