A novel terahertz(THz) metasurface with multi-frequency narrow band resonance effect is constructed based on Single-Walled Carbon Nanotubes(SWCNTs) thin films. The influence of structural parameters of periodic microstructure unit on the resonance characteristics of the metasurface is analyzed. Furthermore, the resonance coupling mechanism of the device is studied, and the simulation and theoretical calculations have good consistency. In addition, the refractive index sensing characteristics of this THz metasurface device are analyzed by covering a dielectric layer with different refractive indexes on the metasurface. The function fitting results show that the metasurface device can achieve high sensitivity refractive index sensing up to 64 GHz/RIU.