Since the implicit limit state function for thermal-structural coupling of a beam is difficult to determine,a non-probabilistic resonance reliability method for the thermal-structural coupling of a beam is presented. The method is based on the theories of resonance reliability analysis,the improved Kriging model and finite element analysis techniques. In the proposed method,the approximation model for the reliability function of the beam structure is established by Kriging method,and the improved Kriging approximate model becomes more close to the limit state function by using the active learning method to improve the selecting method of new sample points. Then considering the uncertainty of structure parameters,the parameters of beam structure are described by interval variables,so that the approximation model for the non-probabilistic resonance reliability of the beam structure including ellipsoidal convex sets can be established. Finally,the non-probabilistic resonance reliability index of the beam structure is calculated by the optimization method. The calculation results show that the proposed method is of rationality and high accuracy,and can provide a feasible way for the non-probabilistic resonance reliability analysis of thermal-structural coupling of the beam structure.