Metasurfaces are optical elements that use two-dimensional planar microstructures to control the light field. In recent years, the research and application of metasurfaces in quantum optics have received more and more attention. The metasurface is able to realize the miniaturization and integration of quantum devices. In addition, it can also improve the luminous efficiency and quality of quantum light sources. Based on the combination of quantum optics and metasurfaces, this article introduces the latest research and progress in five aspects, including quantum plasmonics, the use of metasurfaces to optimize quantum light sources, the use of metasurfaces to measure and manipulate quantum states, the application of quantum optics, and the quantum vacuum engineering of quantum emitters. Finally, some potential applications of metasurfaces were prospected.