A display apparatus is provided. The display apparatus includes a display and a controller. The display is configured to display an image and comprises a touch sensor for touch input within an assigned sensing section. The controller is configured to perform an operation corresponding to the touch input sensed within the sensing section, and to control the touch sensor to adjust the sensing section based on conditions for adjusting the sensing section. With this, the display apparatus and a control method thereof which can efficiently sense, without lowering the speed of sensing, a touch input based on a plurality of pens or fingers is provided.