1. An image capturing apparatus comprising: an object detection unit configured to detect a predetermined object in a captured image that is captured by an image sensor; a movement amount acquisition unit configured to acquire an amount of movement of the predetermined object that moves in an image capturing screen, from two captured images that are captured by the image sensor; an object tracking unit configured to suppress the amount of movement of the predetermined object in the image capturing screen, by moving an optical element in a direction that is different from a direction of an optical axis of an image capturing optical system that guides a light beam toward the image sensor, the optical element constituting the image capturing optical system; a motion vector detection unit configured to compare two captured images that are captured by the image sensor and detect a motion vector indicating an image blur amount; an image blur correction unit configured to correct image blur, based on the motion vector; and a switching unit configured to switch whether or not to perform object tracking using the object tracking unit, wherein the image blur correction unit makes effect of the image blur correction in a case of performing the object tracking smaller than effect of the image blur correction in a case of not performing the object tracking.