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Differential Evolution (DE) is based on both an evolutionary strategy and a parallel direct search method employing a population. DE is an effective optimization method available for solving global optimization problem over continuous space. DE has a few control parameters that have to be set by users. This paper describes a new DE using Down-hill Simplex Method. Then we consider average distance of a new DE and we examine DE to choice a proposal method or the other proposal method according to the average distance. The feasibility and advantage of the proposed DE are demonstrated through some numerical simulations using four different typical global optimization test problems.