To improve the search ability of differential evolution(DE), a new chaotic differential evolution algorithm(called CGLSDE) is proposed in this paper. Firstly, two methods(one is replacement of one of the parameters of DE using chaotic sequences, the other is chaotic global search) are used to improve the global search ability of DE. Secondly, in the CGLSDE, the single-dimensional and multi-dimensional chaotic local search ways are employed to enhance the local search capability of DE. The simulation results show that the CGLSDE is better than the other three chaotic differential evolution algo...