In order to provide theoretical reference for the selection of diversion tunnel site and the support parameter design, based on complex function theory, the homogenization method was used to derive the analytical elastic solution of stress and displacement of deep buried circular tunnel with bolt under non-uniform stress field. And the variation laws of tangential stress and radial displacement around tunnel with the elastic modulus of surrounding rock, lateral pressure coefficient, bolt length, radius and radial spacing were given. Through example analysis, the following conclusions were drawn. With the increase of elastic modulus of surrounding rock, the tangential stress and radial displacement around the tunnel decrease, and are most sensitive to the elastic modulus of surrounding rock in the range of [5,10]. When the lateral pressure coefficient is in the range of (0,1], the maximum tangential stress and radial displacement around tunnel decrease. With the increase of coefficient. When the coefficient in the interval [1,2], the law is opposite. and the stress and displacement are more sensitive to the lateral pressure coefficient in the interval [1,2]. With the increase of bolt length, the tangential stress and radial displacement around tunnel decrease. With the increase of bolt radius, the tangential stress around tunnel increases, and the radial displacement decreases. With the increase of circumferential spacing of bolts, the variation trend is opposite to the laws of bolt radius.