A display apparatus and a method for executing a link and a method for recognizing a voice thereof are provided. The method for executing a link of the display apparatus includes displaying a user interface, determining a text included in a link included in the user interface, displaying the text determined in the link to be distinguished from other texts, recognizing a voice input from a user, and if the voice uttered by the user matches the text determined in the link, executing the link associated with the matching text. Accordingly, possibility of misrecognition of a voice input by the user is reduced, and the user controls a display apparatus using more exact voice recognition.