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In this paper, the pareto optimality theory is applied to carry out the topology optimization of the continuum structure, based on the concept of topological sensitivity.Considering the relative density of nodes as design variables, and the minimization of compliance as an objective function, the initial single-objective topology optimization problems is transformed into a multi-objective topology optimization problems.A salient feature of the proposed method is that, one can trace the pareto-optimal frontier in a computationally efficient manner.In other words, the method can find pareto-optimal topologies for various volume fractions with far fewer finite element analyses than classic SIMP methods.Numerical examples show that the proposed method is feasible and efficient for the topology optimization of the continuum structure, and can effectively overcome the checkerboard phenomenon, and is proved the correctness and validity of this method.