An apparatus for driving an optical-reflector includes a support frame having a groove line formed therein, an optical-reflector installed at the support frame to change a path of light input through an opening so that the light is put into a lens, a base frame having a guiding groove formed with a shape corresponding to the groove line, and a plurality of balls disposed between the groove line and the guiding groove so that the support frame and the base frame are kept in a spaced state, and a driving unit configured to move the support frame along a path corresponding to the groove line or the guiding groove.