We have used X‐ray pole figure analyses to study crystal orientations of β‐Ga2O3 thin films formed on (100) m‐plane or (102) r‐plane sapphire substrates prepared by gallium evaporation in oxygen plasma. The (−201) plane of β‐Ga2O3 on the (100) m‐plane was inclined to be along two (110) a‐planes. Crystals of (−201)‐oriented β‐Ga2O3 exhibit six‐fold symmetry in which a β‐Ga2O3 crystal is rotated every 60° from [001] for each a‐plane. In all, twelve kinds of β‐Ga2O3 crystals formed on m‐plane sapphire substrate. Similarly, the (−201) plane of β‐Ga2O3 on the (102) r‐plane was inclined to be along to two (113) n‐plane. Crystals of (−201)‐oriented β‐Ga2O3 exhibit three‐fold symmetry with a β‐Ga2O3 crystal rotated every 120° from the opposite direction of projection of the c‐axis of each n‐plane. In all, six kinds of β‐Ga2O3 crystals formed on the r‐plane sapphire substrate. These observations can be explained by comparing oxygen atomic arrangements on the β‐Ga2O3 (−201) plane with those on the sapphire (110) a‐plane and (113) n‐plane.