In order to investigate the thermal shock and the heat conduction property of a target under multi-pulsed laser radiation,analytic expressions of both temperature and thermal stress fields in the target are deduced on the basis of the non-Fourier conduction law and the thermo-elastic theory.Taking a stainless steel target as an example,we can solve the analytic expressions under appropriate boundary conditions by using the finite difference method and MATLAB software,and then reveal the evolution law of both surplus temperature and thermal stress in the target.The results indicate that the temperature curves in the target irradiated by a multi-pulsed laser take on a delayed character in different sections away from the boundary,which is only affected by its relaxation time.The front of the stress wave is very steep in the non-Fourier numerical solutions,which presents an obvious thermal shock,so it is necessary to consider the non-Fourier effect of semi-infinite body under the high energy laser radiation. In order to investigate the thermal shock and the heat conduction property of a target under multi-pulsed laser radiation, analytic expressions of both temperature and thermal stress fields in the target are deduced on the basis of the non-Fourier conduction law and the thermo- elastic theory. Testing a stainless steel target as an example, we can solve the analytic expressions under appropriate boundary conditions by using the finite difference method and MATLAB software, and then reveal the evolution law of both surplus temperature and thermal stress in the target. results indicate that the temperature curves in the target irradiated by a multi-pulsed laser take on a delayed character in different sections away from the boundary, which is only affected by its relaxation time. the front of the stress wave is very steep in the non -Fourier numerical solutions, which presents an obvious thermal shock, so it is necessary to consider the non-Fourier effect of semi-infinite body under the high ene rgy laser radiation.