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In recently 40 years, there were great developments either in theory or application. Shape and sizing optimization techniques have achieved a great improvements in the emergence of new optimum designs. But now, many researches focus on topology which consists of determining the best arrangement of a limited volume of structural material with a given spatial domain so as to obtain the optimal mechanical performance of the concept design. This paper do a research on artillery bracket optimization which focus on sizing and shape design and topology design. The optimal math model of structure is established, in which, the structure weight is taken as objective function. In the process, the reliability of structural displacement and stress and the buckling factor are taken as constraint functions.The main research are as follow: The value of displacement and stress and for the optimal design of the artillery bracket; Designing a reducing weight scheme and confirming parameter range and creating parametric model of the artillery bracket by APDL language; ANSYS is integrated into iSIGHT optimization software. Parameters table, design of experiments(DOE),optimization plan in iSIGHT are studied. Based on Multi-Island Genetic Algorithm which is a exploratory technique in search of the global optimum is used in rib optimization design. After sizing and shape optimization, Bi-directional Evolutionary Structural Optimization (BESO) is developed for topology optimization. The singularity of stiffness matrix is prevented effectively by controlling the evolution rate. The stair-case exist in optimized structure's boundary is solved by using B-spline method.