Disclosed are a display apparatus and a control method thereof, the display apparatus including: a signal receiver which receives a video signal; an image processor which processes the video signal received by the signal receiver; a display unit which displays an image on the basis of the video signal processed by the image processor; a function selector which senses a user's operation for selecting a plurality of functions provided by the display apparatus; and a controller which displays an on screen display (OSD) menu for selecting the plurality of functions on the display unit in accordance with a user's first operation entering within a predetermined distance from the function selector, and operates one selected among the plurality of functions in accordance with a user's second operation. With this, it is possible to provide an intuitive, convenient and reliable user interface for selecting a plurality of functions even under spatial limitations.