A display apparatus and a control method thereof are provided. The display apparatus includes a communication interface configured to receive captured images and information related to the captured images; a display; and a processor configured to: obtain an object disparity of an object included in the captured images and a number of the captured images based on the information related to the captured images; identify whether a display disparity representable by the display matches the object disparity; based on the display disparity not matching the object disparity, generate interpolated images by performing image interpolation based on the display disparity, the object disparity, and the number of the captured images; and control the display to display a three-dimensional content based on the captured images and the interpolated images.