An image capturing apparatus having a camera shake correction function, includes an optical system, a movable member that is movable on a plane perpendicular to an optical axis of the optical system to achieve the camera shake correction function, an angular velocity detector configured to detect an angular velocity of shake of the image capturing apparatus and generate a detection signal, and a controller configured to drive the movable member based on the output from the angular velocity detector. The controller includes a time change rate limiter configured to limit a time rate of change of angular velocity indicated by the detection signal output from the angular velocity detector to be no greater than a predetermined limiting value, and drive the movable member based on the detection signal output through the time change rate limiter.