The optical response of a hybrid system,where a Ladder-type three -level atomic ensemble was confined in a optomechanical microcavity with an oscillating mirror in one end,was investigated by solving the Heisenberg-Langevin equations analytically and numerically.The results show that the steady-state behaviors of the oscillating mirror and the atomic ensemble relate to the elastic coefficient of the spring and the Rabi frequency of the classical pump field.As the elastic coefficient decreases and pump Rabi frequency increases,the atomic ensemble and entire optomechanical system will present multiple steady-state solutions with different steady-state numbers in different frequency domains.Therefore,the steady-state optical response of the system could be controlled by manipulating the Rabi frequency of the classical pump field and the spring elastic coefficient.These results may have potential applications in the area of quantum information processing and high-precision quantum measurement.