The applications of constitutive model for underground structures may be not assessed completely. Several researchers proposed various constitutive models to present details of different aspects of the soil performance. Therefore, the current study attempts to present 2D convenient finite element model for adopting a comparison study between different model parameters in soft soils to understand the effects of deep excavation on lateral movement and on the ground surface with tunnel presence. The tunnel was simulated at buried depths (C = 3, 6, and 9 m), with two different shapes (circular and horseshoe) and with diameter (D = 6 m). The analysis was by Hardening Soil (HS) and Soft Soil (SS) models in case of tunnel presence once before deep excavation beside and other once under the effect of close deep excavation. In the case of only tunnel presence, and the mass of soil unloading due to excavated tunnel, explicit heave revealed in the soil surface above tunnel body. In the case of close deep excavation where (He = 12 m), significant draw down for the soil surface above the zone of buried tunnels. The suitable tunnel depth without substantially disrupting the surface above may be with increasing the tunnel depth more than 4D.