Abstract: The exact solution of the elliptic cone stripline is derived based on the TEM mode and perfect conductor assumptions. Using the coordinate transform and conformal mapping technique, the ellipilic cone stripline is transformed to a parallel plate stripline. The basic parameters including the characteristic impedance, effective dielectric constant and capacidance per unit length are obtained using elliptic integral transform. The method used in this paper is useful for the problems of circular, elliptic cylinders and circular, elliptic cones.