An input apparatus, a display apparatus, and control methods thereof are disclosed. The input apparatus for the display apparatus includes a user input device configured to receive a user's input; communication circuitry configured to communicate with the display apparatus; a driver configured to provide a driving force to drive the input apparatus to move; and at least one processor configured to control the driver to move the input apparatus to a preset location corresponding to a user's location in response to a preset event so that a user can take and use the input apparatus. Thus, a movable input apparatus comes to a user by itself and provides user-friendly interaction, thereby improving a user's convenience.