One or more lens control apparatuses, methods and storage mediums for use therewith are provided herein. In a third mode where a camera control unit performs control in such a manner as to drive a focus lens at a preset speed, if the camera control unit has determined that a subject is a moving subject, when the camera control unit determines that the subject is in focus, a transition is made to a second mode where a drive speed of the focus lens is variably controlled on a basis of the amount of defocus.