Abstract: For the rock tunnel under anisotropic state of geo-stress (with different lateral pressure coefficients), the influence of the displacement, stress and plastic zone around tunnel were examined with Hoffman yield criterion used for composite material. The results showed that maximum principal stress around tunnel has a maximum value for θ=30°~60° and minimum one for θ=0° and 90°, being independent of lateral pressure coefficients. With the increase value of θ, the horizontal displacement around tunnel increases and vertical one decreases. When the lateral pressure coefficient is smaller than 1, both roof and bottom are mainly failed, independent of θ. In the anisotropic material, when the direction with respect to the largest strength is coincident with the direction of major principal stress, the failure occurs in this direction, with largest plastic zone area.