A hand-shake correction apparatus and method for a camera module for typical use in a mobile device. A camera unit includes an angular velocity sensor for sensing an angular velocity of a hand-shake motion of a camera, a position detection sensor for detecting a current position of an image sensor, and an actuator for actuating the image sensor. An Optical Image Stabilizer (OIS) circuit unit controls the actuator using a multi-rate Proportional Integrate Derivative (PID) control scheme that performs control a plurality of times using a shorter control period compared with existing PID controls for a basic period, in which a reference value is updated according to a control reference value by which the image sensor optimally shifts to correct a hand-shake motion.