We investigated if attentional bias directed to the right increased with age. We assessed the characteristics of the following types of eye-gaze by using the Posner cueing paradigm. Younger (n =16) and older (n = 20) adults participated in this study. First of all, a face which looked straight ahead was presented at the center of screen, followed by a gaze cue that looked left or right. Immediately after this informative cue, a target stimulus (“*”) appeared to the left or right of the face. The stimulus-onset asynchrony (SOA) between the cue and the target was selected from 300, 700, and 1100 ms. Participants were required to judge whether the target appeared to the left or the right of the gaze cue as quickly and accurately as possible. Results showed that older adults indicate a larger positive gaze-cueing effect when the eye-gaze shifted rightward, whereas this effect was not observed for a leftward shift. Moreover, a negative gaze-cueing effect (inhibition of return) was observed when the SOA was longer only for the leftward eye-gaze shift of older adults. These modulations of the cueing effect did not appear in younger adults. These findings demonstrate that the rightward attentional bias in older adults is more robust than the leftward bias.