Scattering of obliquely incident, perpendicularly polarized plane wave by a dielectric circular cylinder, which is buried in a grounded dielectric layer has been considered. Dielectric cylinder has low dielectric contrast from the host grounded dielectric layer. The solution to the problem has been obtained by using a perturbation technique. Unperturbed fields are calculated inside the grounded dielectric layer, when it contains no inhomogeneity. Buried low contrast dielectric cylinder has been considered as perturbation in the dielectric layer. First order perturbed fields outside the grounded dielectric layer due to the dielectric cylinder are calculated in the far-zone.