Abducens palsy is the commonest extraocular muscle palsy. Vascular disease or an unknown cause are the most common reasons for this disease in adults older than 50 years. A 53-year-old man presented who had suffered from horizontal diplopia for 1 year. It was not easy to find any significant abnormality of any eyeball movement; however, the red glass test showed horizontal uncrossed diplopia that occurred during leftward gazing, but the visual imaging of the left eye was lateral to that of the right; as a result left lateral rectus muscle paresis was confirmed. Computed tomographic angiography and magnetic resonance angiography demonstrated a dolicoectatic vertebrobasilar artery. It is probable that the dolicoectatic basilar artery had twisted leftward and compressed and stretched the left abducens nerve, leading to left abducens paresis. Conservative treatment was recommended.