A theoretical and numerical analysis of the wave propagation along a long thin wire antenna is presented. The wire is assumed to be placed vertically in a conductive inhomogeneous medium, represented by a finite set of horizontal plane layers each of which is characterized by an individual conductivity. The current distribution along the wire antenna is obtained as the solution of the electric field integral equation that is solved by the method of moments. Numerical results are presented and compared to similar work for homogeneous media.