Azide polyether propellants are emerging high‐energy solid propellants and have broad application prospects. To determine their mechanical properties under wide temperature ranges, tensile tests were conducted considering different combinations of temperature and loading rate, and the corresponding tensile stress–strain curves were plotted. The influence laws of temperature and loading rate on the materials' tensile response were revealed through qualitative and quantitative analyses. The applicability of the time–temperature superposition principle to the nonlinear deformation stage of the propellant was proved, and a stress response prediction method derived from this principle that solely relies on dynamic mechanical analysis and tensile test data was established.