Topology optimization (TO), which is a design optimization technique that does not require design parameters, has been attracting attention. TO has a high degree of freedom and can obtain a novel design shape suitable for desired purposes. However, the characteristics of the obtained design shape may be greatly damaged due to uncertainty such as variations in material properties. Also, when multi-objective optimization for TO is considered, an increase in the calculation load becomes a major problem. In this study, as a method for efficiently conducting multi-objective robust TO, multi-objective robust solutions can be obtained by using a single-objective robust covariance matrix adaptation evolution strategy and the hybrid method of robust genetic algorithm and multi-objective robust design optimization. The proposed method was applied to design problems of magnetic shields, and obtaining a wide range Pareto front with robustness that cannot be obtained by conventional methods is possible.