In this paper, the singularity in the integrand of electrical field integral equation( EFIE) for the junction region between the wire antenna and the bodies of revolution(BOR) is first analyzed. A method based on suitable changes of coordinates and domains is introduced to extract singularity of self impedance element calculation in junction region and obtain the efficient integral value. Take the wire antenna mounted on a finite solid conducting cylinder as an example, the impedance characteristics and radiation pattern is computation, The good agreement that numerical data obtained using above analysis are compared with those of CST soft shows the method is efficient.