[en] The MHD stability of an ideal annular liquid around a solid cylinder surrounded by a streaming fluid with uniform velocity U has been developed. The MHD basic equations are linearized and solved. A general dispersion relation is derived and discussed numerically. It is found that the densities ratio has small stabilizing effect, the radii ratio has a stabilizing effect and the electromagnetic force due to the magnetic fields pervaded in the liquid and the fluid regions has strong stabilizing effect for all short and long wavelengths in all modes of perturbation. Such study may have astrophysical applications.