The problem of half-space nonhomogeneous foundation subjected to vertical and horizontal linear loads is studied. The linear transformative relation between the solutions of the nonhomogeneous foundation and the corresponding homogeneous foundation is analyzed. Based on deformation compatibility condition

the analytical expressions of stress and strain component are obtained. Through comparing solutions of nonhomogeneous foundation and the corresponding homogenous foundation

linearly correlation relation between the both is found. The solution of the nonhomogeneous foundation can be linearly expressed by that of homogenous foundation with the same conditions. The transformation factors between the solutions of two kinds of soil are derived in analytic forms

witch reflect the nonhomogeneous properties of the foundation. Therefore

solutions of the non-homogenous foundation can be reduced to that of a homogenous one and the calculation of the transition parameters

which simplifies the solution procedure. For the convenience of engineering application

analogous transformation coefficient is given by graphic form with different nonhomogeneous indices.