The persistence and symmetry of cyclones about the poles of Jupiter are unknown. In present investigation, inspired by the cyclones in the South Pole of the Earth, we propose a mechanism which gives an explanation about this problem. The negative temperature gradient with respect to latitude may play an important role here. This temperature gradient is induced by solar radiation, because of the small axial inclination of Jupiter. Our numerical simulations suggest that the cyclones in the polar regions of Jupiter may be modulated or controlled by the radially directional Rayleigh-Taylor instability driven by the centrifugal force and the negative temperature gradient along the latitude.