β-Gallium oxide (β-Ga2O3) has been studied extensively in the past decades due to its excellent ability in fabricating variety of devices, such as solar-blind photodetectors and power devices. However, as an important part in device, the related investigation of β-Ga2O3-metal contact, especially for Schottky contact, are rare. In this review, we summarized the recent research progresses on β-Ga2O3-metal contact, including related theories, measurements, fabrication processes, controlment methods, etc. This review will provide insights for both theoretical understanding of the metal/semiconductor interface, and the fabrication process in engineering applications of Ga2O3 based devices.