A salient peripheral cue can capture attention, influencing subsequent responses to a target. Attentional cueing effects have been studied for head-restrained saccades; however, under natural conditions, the head contributes to gaze shifts. We asked whether attention influences head movements in combined eye-head gaze shifts, and if so, whether this influence is different for the eye and head components. Subjects made combined eye-head gaze shifts to horizontal visual targets. Prior to target onset, a behaviorally irrelevant cue was flashed at the same (congruent) or opposite (incongruent) location at various stimulus onset asynchrony (SOA) times. We measured eye and head movements and neck muscle EMG signals. Reaction times for the eye and head were highly correlated; both showed significantly shorter latencies (attentional facilitation) for congruent compared to incongruent cues at the two shortest SOAs and the opposite pattern (inhibition of return) at the longer SOAs consistent with attentional modulation of a common eye-head gaze drive. Interestingly, we also found that the head latency relative to saccade onset was significantly shorter for congruent vs. incongruent cues. This suggests a separate effect of attention on the head from that on the eyes.