Abstract: For CV non-Fourier media subjected to high heating rates，an iteration method was proposed for the solution of the coupled thermal-mechanical problem. Two uncoupling problems were computed alternately, and the sufficient precision solution was obtained step by step. These two problems were thermo-stress analysis when temperature was given and the non-Fourier thermal conduction problems when displacement, strain and stresses were provided respectively. The method is adaptable to the Fourier media and independent of the uncoupling problems computing method. The transient response of a Fourier plate was discussed as an application. Results show that the more the times of alternate computing, the more the precision of the result.