Abstract: The continuum structure with stochastic parameters was designed by topological optimization. The reliability constraint of stochastic parameters under normal distribution was also considered to guarantee the reliability. Based on the first-order second-moment method of the reliability theory, the stochastic finite element method is used to analyze the continuum structural reliability. The implicit reliability constraint is transformed into the equal conventional constraint. The K-nearest neighbor method of the pattern recognition technique is introduced to the design domain of the continuum structure to carry on the topology optimization design. Finally, several calculation examples prove that the design method is feasible, and proves theory basis for engineering design.