For solving Bessel function's singular problem of Sommerfeld integral in calculating the spatial domain Green's function of cylindrically stratified media, a domain-division algorithm is proposed in this paper, which can realize the computation for all elements of Z-matrix in the method of moment. Then, arbitrary shape cylindrical conformal microstrip antenna (CCMA) fed by microstripline is theoretically analyzed using the RWG basis function. A simulation example for investigating the effectiveness of the domain-division algorithm is present. Another simulation example is done to study the electromagnetic characteristics of a CCMA fed by microstripline, the results of which are compared with those of the counterpart planar antenna.