Goos-H?nchen (GH) shift refers to the lateral shift of reflected light center in two-dimensional or higher-dimensional systems. Based on the Mie theory, this paper utilizes the Drude model of metal nanoparticles to study the change laws of the lateral shift of nanoparticles in the far field under the illumination of linearly polarized light. In addition, the paper derives an analytical expression for the GH shift and uses a simplified model to unveil the underlying mechanism of GH shift inversion. It is found that when the electric dipole couples with the electric quadrupole, GH shift reaches two peaks different from that in other wavebands at Fano resonance area. The finding lays a foundation for the development of supersensitive sensors based on GH shift.