Embodiments of the invention provide an apparatus for noise cancellation of an optical image stabilizer, which includes a motion sensor configured to sense a motion, a microphone configured to acquire a sound, a speaker configured to output a sound, and a controller. The controller is configured to determine whether at least one predetermined condition is satisfied based on at least one signal input from the motion sensor and the microphone, when it is determined that the at least one predetermined condition is satisfied, to periodically operate the optical image stabilizer to store one or more noises generated from an actuator within the optical image stabilizer and driving information of the actuator in a memory, and then, when the optical image stabilizer is normally operated, to acquire the one or more noises corresponding to the driving information of the actuator from the memory, and to generate a canceling noise and to output the generated canceling noise through the speaker.