The present invention provides a display device and a control method thereof, and a gesture recognition method. The control method comprises steps of: displaying a virtual 3D control picture by a glasses-free 3D display unit, wherein a distance between the virtual 3D control picture and eyes of the user is a first distance, and the first distance is less than a distance between the glasses-free 3D display unit and the eyes of the user; acquiring, by an image acquisition unit, an image of action of touching the virtual 3D control picture by the user; judging, by a gesture recognition unit, a touch position of the user in the virtual 3D control picture according to the image acquired by the image acquisition unit, and sending a control instruction corresponding to the touch position to a corresponding execution unit.