We report two schemes of generating squeezed state of the mirror motion in a dissipative optome- chanical system, where feeding a broadband squeezed-vacuum light and periodically modulating the driving field, respectively. In the first scheme, we find that the driven cavity field can effectively perform as a squeezed-vacuum reservoir for the movable mirror via utilizing the completely destructive interference of quantum noise when the mirror is weakly coupled to the cavity mode. In the second scheme, both the numerical and analytical results predict that the squeezed state of the mirror motion...