The superfluid axion equations on the rotating black hole background are derived in this paper. When axions absorb the energy of gravitational wave radiation from the quantized black holes, then these axions can form the different energy levels and vortex states. We calculated the particle number densities and total mass of axions around Kerr-Newman and Kerr-Sen black holes. Moreover, the gravitational wave radiation frequencies of superfluid axions are also calculated in the different energy levels and vortex states.