Abstract: Direct TM-Scattering problem of two-dimensional inhomogeneities buried in a loosy stratified medium is presented. Analysis work mainly consists of two parts: one is to derivate the Green s function of a filament buried in a loosy stratified medium, another is to constitute a electric field integral equation of an equivalent current caused by the differences between the inhomogeneities and the stratified medium. Based on these works, illustrative numerical results are given to model inhomogeneous underground tubes embedded in a stratified medium, and to describe the scattering field affected by different factors such as permittivity distribution, dimension and buried depth of the inhomogeneities and so on.