An apparatus for remotely operating a handle of a circuit breaker which includes a handle, a first plate, to which the handle is rotatably connected, allowing the handle to be attached to a distributing board, a second plate allowing the first plate to be attached to the distributing board, a first link transferring a rotary motion of the handle, as a linear motion, and a second link rotated according to the linear motion of the first link to provide rotational force enabling the circuit breaker to be switched on or off, includes a handle operating member connected to the second link, having an elastic member to provide elastic force to the second link, while being rotated cooperatively according to rotation of the second link, to fixedly support an ON or OFF position of the handle.