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This paper presents a new approach of robust multi-objective optimization and multilevel for design of complex mechanical structures. This optimization is on two levels: system and elements. The robust multi-objective problem on system-level to be solved is with four cost functions: on the one hand the minimization of the global mass and displacement. in a fixed point of mechanical structure to be studied, arid on the other hand the maximization of the robustness respectively of the mass and displacement whereas the robust multi-objective problem on the element-level is with two cost functions: minimization of the element mass and maximization of its robustness. Contrary to the existing formulations, this new approach takes into account uncertainties on the design parameters on the system-level and on the element-level. Moreover, it answers the task sharing commonly used in industry field. [ABSTRACT FROM AUTHOR]