An image stabilization control apparatus comprises: a first detection unit that detects a subject or subjects in an input image using a learned model and outputs subject information of the detected subject or subjects; a tracking unit that tracks one subject detected by the first detection unit in a plurality of images input consecutively; a reliability calculation unit that calculates reliability of the tracking by the tracking unit based on the subject information; and a first correction amount calculation unit that calculates a first correction amount to be used for image stabilization by adjusting a provisional correction amount which is based on a difference between a position of the subject being tracked by the tracking unit and a predetermined target position in an image, according to the reliability.