A problem on the electrostatic induction of double conductor spheres and its solution are presented,and several problems are derived from it. Based on the basic idea of the mirror method, a mirror-charge construction method is designed for solving the electrostatic induction of any multiple charged conductor spheres, and the above problems are solved numerically to obtain the spatial potential and electric field in the symmetric and asymmetric cases, respectively. The charge density distribution curves on the sphere of the conductor are plotted and their physical significance is discussed.