An apparatus and method for predicting an eye position includes a storer configured to store detected position information of an eye of user during a sample time interval, a calculator configured to calculate a weighted average value of a variation of the detected position information, and a predictor configured to generate prediction position information of the eye of user at a target time based on the weighted average value, and the calculator is configured to apply a weight to the variation of the detected position information such that the weight increases as the target time is approached during the sample time interval.