Civil large-span space structures have been widely built for public assembly venues. The failure of this type of structure may endanger the lives of many people. Considering that the member configuration of this type of structure may follow a regular pattern and damage in a local region may destroy the regular pattern, a damage detection approach based on the change in structural shape has been proposed by the present authors. In that approach, to obtain the change in structural shape due to damage, the displacements at joints between members are required to be measured. Since it is difficult to measure displacements on this type of structure in practice, in this study, the authors proposed to use the shape change of the uniform load surface for damage localization. Uniform load surface physically represents the deflection profile of the structure under the assumed uniformly distributed loading and can be calculated from the flexibility matrix constructed from the identified natural frequencies and mode shapes. This approach can locate damage to exact structural members. It will avoid costly and tedious work in measuring displacements. This approach has been numerically validated on single-layer space structures with two different member configurations.