Abstract: Abilities against radiation effects denote the sensitivity of systems to radiation damage, which can be achieved by design and manufacture, and represent the development level of radiation-hardening by design. In this paper, based on the QMU method, a flow of quantitative method for designing systems with radiation damage considered is raised. Firstly, the overall design of systems should be optimized, by dividing a system into different sub-systems, parts, and with different failure modes considered. Secondly, the radiation environment and the uncertainties have to be quantitatively verified. Then the corresponding radiation damage and uncertainties of the devices and sub-systems need to be evaluated, to make sure that the system operates safely. In the end, the overall ability of the system against radiation damage is predicted and verified.