Abstarct: The industry of extraction from mines and excavation of tunnels needs to analyse the stability during excavation them. Under ground excavation leads to change in tension of the ground and with these change the moves of ground will be made around it and may these moves make some other moves in the roofs and walls of tunnels. The curve of the reactions of the ground is a tool for describing these displacements, which one used in a broad way in the new method of tunneling. However, analytical solutions available only under isotropic conditions for relatively deep and deep tunnel applicable. The reaction curve of the ground can be defined us a curve for describing reduce pressure and increase radial displacement of wall. The rate of the moves in roofs and walls of tunnels can be calculated with the use of the curve of the reactions of the ground and also the rate of rigidity support can be figured out with the use of the rate of the displacements. With this curve the best time for support installation can be distinguished. As for considering the basic hypothesis in drawing ground reaction curve and the disparities of results in analytical and numerical methods, in this investigation the limitations in the application of ground reaction curve have been considered. The research has been started with the use of analytical studies, and after that a comparison between analytical method and numerical one for ground reaction curve in the depth of 10, 20, 35, 100, 200 and 400 meters, in respect to the 0.5, 1, 1.5 and 2 static tensions in the three form of soft, average and hard in rock has been done. The analytical method with Mohr- Coloumb failure criterion and the numerical method with FLAC software have been studied that was achieved regarding to the respect of the numerical method to the analytical method in different situation of limitations in the application of ground reaction curve, however, it does not give us an exact answer in low deep situations and displacement ratio in wall to the analytical method is more exact than displacement ratio in crown to the analytical method. Beside this, In addition, the analytical method to solve the problem, three experimental equations for wall tunnel displacement in elastic and plastic conditions and crown tunnel displacement in plastic conditions, after the calculations and use of multiple regression in Exel software was achieved that the numerical results were compared that in the elastic condition results correspond with numerical method. In the end, in 5500 meters of alborz tunnel, ground reaction curve was drawn and was compared to the previous results, which ratio displacement in wall to the analytical method had amore exact result in respect to the wall displacement in analytical method, section of tunnel was simulated in cycling form that the movement in section of tunnel was a little more in the movement of the section of cycle but the respects of movements were acceptable.