In the inertial-confinement fusion (ICF) driver, the large-aperture array mirror mount is an important opto-mechanical system, which affects the beam direction and position precision. Random vibration and the parameters of the large aperture array mirror mount are the main factors that influence the dynamic response of the mirror. The finite element analysis software is used to analyze the relation between the parameters of the excited power spectral density (PSD), the structure elastic modulus, the damp ratio and the structure dynamic response. The results indicate that reducing the excited PSD and increasing the elastic modulus has the same effect on reducing large-aperture mirror mount structure dynamic response, and increasing the damp ratio is the best way. However, the effect of all the methods as reducing excited PSD, increasing elastic modulus and damp retio is becoming weaker.