A display apparatus and an operating method thereof obtain at least one first sensor data of a first point in time, receive a first image frame including a first augmented reality (AR) object corresponding to the first point in time, the first AR object generated by a first processor, based on the first sensor data, obtain second sensor data of a second point in time subsequent to the first point in time, correct the first AR object to a second AR object matched to the second point in time, based on the second sensor data, and display a second image frame including the second AR object.