The study of the behavior of existing underground structures, such as transportation tunnels, due to construction of a new tunnel is an engineering problem of soil-structure interaction. Many problems arise when parts of a new construction tunnel cross under, or near an existing tunnel during the construction. One of these problems is expected to occur related to soil stability around a new construction tunnel and between new and an existing one. Even though in engineering practice tunnels are often designed considering only static or quasi static (creep), loading conditions, a non-negligible research effort has been devoted to investigate their behavior in near-field construction conditions. In the present study, the behavior of existing tunnels under passed by a new construction one by using Finite Element Method has been studied. The tunnel lining is meshed with two dimensional elements, called BEAM 6 element. The soil is meshed with two dimensional elements called LST, (Linearly Varying Strain Triangular Element. In this study, the main parameters were taken into consideration are excavated tunnel diameter (D2), soil thickness between tunnels (H), and horizontal distance (X). The results obtained from this study were compared with the initial values obtained from case of no tunneling under the existing tunnel.