Due to the intrinsic subtlety and dynamics of eye movements, automated generation of natural and engaging eye motion has been a challenging task for decades. In this paper we present an effective technique to synthesize natural eye gazes given a head motion sequence as input, by statistically modeling the innate coupling between gazes and head movements. We first simultaneously recorded head motions and eye gazes of human subjects, using a novel hybrid data acquisition solution consisting of an optical motion capture system and off-the-shelf video cameras. Then, we statistically learn gaze-head coupling patterns using a dynamic coupled component analysis model. Finally, given a head motion sequence as input, we can synthesize its corresponding natural eye gazes based on the constructed gaze-head coupling model. Through comparative user studies and evaluations, we found that comparing with the state of the art algorithms in eye motion synthesis, our approach is more effective to gener...