The present disclosure relates to a multi-touch display apparatus and a touch recognition method thereof. The method includes sensing a first touch made by at least two fingers of a user on a display panel, recognizing multiple touch positions of the first touch as an initial input, estimating a user's position based on the initial input, setting multiple touch regions on the display panel based on the user's position, and sensing a second touch on the display panel and setting coordinates of the second touch as temporary coordinates. The method further includes determining a touch region in which the temporary coordinates are positioned among the multiple touch regions, determining a correction direction and a correction amount for the temporary coordinates based on the determined touch region, and determining final coordinates of the second touch by applying the correction direction and the correction amount to the temporary coordinates.