In this paper, the analytical solution of hyperbolic bio-heat equation under intense moving heat source is presented. The exact solution in the domain of Laplace's transform is obtained. The thermal damages to the tissues are evaluated by the extent of the denatured protein employing with the Arrhenius equation. The results indicate that the hyperbolic bio-heat model reduces to the parabolic bio-heat model when the thermal relaxation time is zero. Numerical results for temperatures and thermal damages are represented graphically. The effects of heat source velocity on the temperature of skin tissue and thermal damages are studied. These results can be used as a confirmation part for studying the practical operations such as scanning laser treatment and other numerical solutions.