A touch sensor includes a plurality of touch electrode lines which extends outwardly from a central portion thereof at a predetermined angular interval around the central portion, a vibration sensing element positioned at the central portion, and a touch controller which receives a first touch signal from at least one of the plurality of touch electrode lines, detects a touch angle between a touch position at which a touch occurs and a first direction with respect to the central portion, receives a second touch signal from the vibration sensing element, calculates a touch distance from the central portion to the touch position based on a time difference between a first point of time when the first touch signal is received and a second point of time when the second touch signal is received, and outputs touch coordinates including the touch angle and the touch distance.