As an artificial micro-nano device, metasurfaces can precisely manipulate the propagation and phase of light beams. Vortex beams with different polarization vector properties possess unique optical field distribution characteristics, and the use of metasurfaces to generate complex vector vortex fields has increasingly broad research prospects. This article classifies materials for producing vector vortex beams with metasurfaces and introduces the research progress of metal metasurfaces, all-dielectric metasurfaces, and intelligent metasurfaces in vector vortex beam generation and control. We elaborate on the principles of modulating incident wavefronts using different phase theories and the characteristics of different vector vortex beams generated by metasurfaces, and explore the relationship between the two. Additionally, we summarize the advantages of using metasurfaces instead of traditional optical devices to generate vector vortex beams, and look forward to the challenges and possibilities of vector field control research using metasurfaces with different materials in the future.