Two indices for local damage of concrete, i.e. the averaged second invariant of deviatoric strain and the averaged normalized accumulated strain energy, which had been proposed for two-dimensional models, were extended to three-dimensional space and were verified for reinforced concrete members failing in different modes. The verified indices were then applied to the analyses of the RC members showing three-dimensional responses owing to their shapes and support conditions, and of the members subjected to complex combination of external actions. As a result, the damage propagation and capacity of the members could be well evaluated in terms of a combination of the indices. The proposed indices enable performance evaluation of reinforced concrete structures with revealing their internal load-carrying mechanism, independent of shapes, boundary conditions and load combinations of constitutive members.