An integrated method of moving asymptotes and fuzzy theory for multi-objective topology optimization is developed in this study. The finite element analysis software ANSYS is used for structural analysis. By using the method of material distribution with method of moving asymptotes, the optimum topology design of structure is obtained. In this paper, the multi-objective optimization problem transfer to single optimization problem by utilizing the concept of the fuzzy theory, which is using membership function and intersection set of decision-making. After implementing the concept above, the Pareto solution of the multi-objective topology optimization problem can be obtained. Three stages of topology design were employed in this study. In first stage, a dual method is used to obtain the initial topology design. To eliminate unnecessary element and retain necessary element by element growth-removal combined method (EGRCM) in second stage. The B-Spline curve is used to smooth the design shape in the final stage. Four different multi-objective problems are demonstrated in this paper. The topology optimization result will be discussed in each stage. After using three stages topology design, the results shows that the optimum shapes of structures are more clear and smooth.