The invention discloses a continuum structure non-probability topologicaloptimization method based on bounded uncertainty. The method comprises the following steps: first establishingoptimization feature distance d which is a non-probability reliability index based on a non-probabilistic set-based reliability model in consideration of uncertainty effects of load, material characteristics, a design permissible value and other parameters under a finite sample conditionaccording to stress characteristics of the continuum structure; and the establishing a topologicaloptimization model based on a moving asymptotesoptimization algorithm; and acquiring the most configuration of the continuum structure under a given external storage and boundary condition through repeated iteration by taking the reliability as the constraint, the weight-losing as an optimization target and the relative density of a unit as the design variable. By use of the non-probability topologicaloptimization method disclosed by the invention, the comprehensive influence of the uncertainty to the structure configuration is reasonably represented in the process of performing the topologicaloptimization design, the effective weight-losing can be realized, and the design takes account of the security and the economy by itself.