Based on the generalized Huygens-Fresnel principle and Rayleigh scatte ring theory,the analytical expressions of the radiation intensity and the radiation force on Rayleigh particles of a focus ed Hermite-Gaussian beams are derived, This paper mainly focuses on the capture of two kinds of particles with differen t refractive indices,as well as the effect of the beam order of m and n on the capture effect of the focused Hermite-Gaussian bea ms.The study results find that the focused Hermite-Gaussian beam in the focal plane shows a rectangular array distribut ion with (m+1)×(n+1) bright spot,the selection of suitable beam order can be achieved in the light spot array distribution capturi ng (m+1)×(n+1) high refractive index particles,while in the dark area capturing m×(n+1) low re fractive index particles.In addition,the larger the beam order,the greater the radiation force,the two types of Rayleigh particles can be captured more easily.Therefore,two types of Rayleigh particles with different refractive indices can be stably trapped by selecting appropriate beam order.Results obtained in this paper may provide potential applications in nanotechnology,biotechnology and so on.