The vortex beam is a kind of special beam with orbital angular momentum. In recent years, it has been widely used in optical information transmission and encryption, astronomy detection, microscopic particle manipulation, and biomedicine. Traditional vortex beam generation methods have certain limitations, such as specific wavelength generation, large component size, and low degree of integration. The development of metasurface micro-nano technology provides a new possibility for the generation and control of vortex beams. In view of this, a vortex beam generation method based on a hook-shaped metasurface array is proposed. The metasurface structure can effectively reduce the size of the vortex beam generator and realize the integration of the device. Moreover, the supersurface structure does not depend on the circular polarization characteristic, wavelength and polarization direction of the specific incident light, so it can realize the generation of the vortex beam with high topological charge.