Abstract: In this paper we present the exact analytical solutions for displacements and stresses of an isotropic non-homogeneous elastic subgrade on rock subject to an axisymmetric surface load. It is assumed that the soil of the subgrade is incompressible and that the shear modulus varies linearly with depth. Selected numerical results for vertical displacements are presented to describe the influence of the degree of non-homogeneity、depth of rock of the non-homogeneous subgrade. Hankel integral transforms are used in the analysis.