An apparatus for driving an optical-reflector for optical image stabilization (OIS) with a multi-axial structure includes a support frame having a first groove rail formed therein, an optical-reflector disposed on the support frame to reflect light to a lens, a middle frame having a first guide rail corresponding to the first groove rail and a second groove rail formed therein, a base frame having a second guide rail formed corresponding to the second groove rail, a first ball disposed between the first groove rail and the first guide rail, a second ball disposed between the second groove rail and the second guide rail, a first driving unit configured to move the support frame in a first direction on the basis of the middle frame, and a second driving unit configured to move the middle frame in a second direction, different from the first direction, on the basis of the base frame.