Abstract: An efficient method is proposed to analyze the electromagnetic scattering from the coated conducting bodies of revolution (BOR). In terms of the final matrix equation to be solved by method of moments, the size of BOR matrix is much smaller than that of general structure since one need just discretize the BOR structure along a longitudinal by taking advantage of the rotational property of the object. However, the matrix will be still huge when the object is electrically large and the iterative solver is indispensable. The convergence speed of iterative solver depends on the condition number of the coefficient matrix. To improve the solving efficiency, we establishes a well-conditioned equation called the electric and magnetic current combined field integral equation (JMCFIE) over the medium surface instead of the conventional PMCHW equation scheme, whereas employs the combined field integral equation (CFIE) over the conductor surface which is same as the conventional scheme. A numerical comparison of the iterative convergence speed is made between JMCFIE-CFIE and PMCHW-CFIE, which demonstrates the improvement of JMCFIE-CFIE against PMCHW-CFIE.