An input apparatus of a display apparatus, a display system, and a control method thereof, are provided herein, the input apparatus including: a communication unit which communicates with the display apparatus; a sensing unit which detects angular speed and acceleration from a motion of the input apparatus; a storage unit which stores position information on a position of the input apparatus; and a controller which calculates the motion information based on the detected angular speed and the position information and transmits the calculated motion information through the communication unit if the input apparatus moves, and updates the position information in the storage unit based on the detected acceleration if the input apparatus does not move.