Deep-ultraviolet (DUV) photodetectors are fundamental building blocks in lots of solid-state DUV optoelectronics, whose prosperity is pinned hope on continuous innovations on semiconductor materials and physics of device structures. Conquering the technological obstacles in narrow bandgap silicon-based optoelectronics (photodetectors and photonics), wide bandgap semiconductor gained a high level of enthusiasm in constructing DUV photodetector, thereinto Ga2O3 is a typical representative benefiting from its promising physical and chemical properties in nature, especially for its energy bandgap around 4.5-5.2 eV for its five phases (α, β, γ, ε and δ). Which just right provides a hard-won opportunity to respond to DUV light irradiation without the need for adjusting the component in compounds and/or adding external optical instruments, as some compound semiconductors AlxGa1-xN, MgxZn1-xO, etc. According to literature reports on Ga2O3-based photodetectors, the device morphology includes metal-semiconductor-metal (MSM) photodetector, homojunction or heterojunction photodetector, phototransistor, and Schottky photodiode. What calls for special attention is that Schottky photodiode with a rectified Schottky junction has certain advantages: easy fabrication, fast photoresponse, less high-temperature diffusion, low dark current, high detectivity, and self-powered operation; in spite of weaknesses of thin depletion layer and low barrier at metal-semiconductor (M-S) interface. Therefore, in this concise literature review article, the recent progresses on Ga2O3-based Schottky photodiodes is discussed in order to show some suggestions on choice of Schottky metal, interfacial barrier modulation, space electric field adjustment, energy band engineering, and photodetection performance improvement, for promoting the further developments of DUV photodetection in the near future.