A method and an apparatus of tracking an eye gaze to determine where a gaze point of a user is located on a display unit of a device, based on a facial pose and a position of an iris center, are provided. The method includes detecting a facial feature in a captured initial image, three-dimensionally modeling the detected facial feature, tracking the three-dimensionally modeled facial feature in consecutively captured images, detecting an iris center in the consecutively captured images, acquiring an eye gaze vector based on the tracked three-dimensionally modeled facial feature and the detected iris center, and acquiring a gaze point on a display unit based on the eye gaze vector.