In this paper, Method of Kobayashi Potential is used to determine the scattering behavior of a strip which is placed at the air-complex conjugate medium interface. And discussion is presented that how the complex conjugate medium mod-ify the scattering properties of the strip. A comparison is also given with that if we replace the conjugate medium with standard dielectric medium. E-polarized electromagnetic plane wave is supposed to be obliquely incident upon the ge-ometry. Scattered fields in both the half spaces are supposed in terms of unknown weighting functions. Discontinuous properties of Weber-Schafheitlin integral and orthogonal properties of Jacobi’s polynomials are used to determine these unknown weighting functions. Far scattered fields have been calculated using Saddle Point Method and computed for different parameters of interest.