The influence of atomic coherence and quantum coherence on the hybrid atom optomechanical system is studied. The Langevin equation is solved by the perturbation method and the optical cavity input-output theory, and the response function of the hybrid atom optomechanical system to weak probe field is obtained. The influence factors, including the coupling strength between the cavity mode and the atom system and the quantum interference effect on the output properties of the hybrid atom optomechanical system, are analyzed. It is found that the output properties of the hybrid atom optomechanical system can be controlled by controlling quantum interference effect. By changing the intensity of the controlling field, the width of the transparent window of the hybrid atom optomechanical system can be changed, and the absorption spectra of the optomechanical system modulated by the atom absorption spectrum is obtained. The probe field can be amplified in the center region of the transparent window of the hybrid atom optomechanical system. When the detuning of the controlling field or the coupling field is changed, the location of the transparent window of the hybrid atom optomechanical system can be controlled.