In this paper, the electric field expression and light intensity distribution of a focused Gaussian vortex array beam at the source plane are studied. Based on ABCD matrix and Collins formula, the electric field expression and light intensity distribution after focusing through a lens are obtained. The optical radiation force generated by the beam on silica microsphere under the Rayleigh scattering mechanism is analyzed. The intensity distribution of the focused light is influenced by the topological charge of the light beams in the array, which will determine the optical trapping ability for Rayleigh microspheres. It is found that silica microspheres can be stably trapped in three dimensions at the maximum of light intensity, and the position of stably trapped microspheres can be changed by adjusting the topological charge properly. By comparing the magnitudes of scattering force, Brownian force, gravity, and gradient force, we analyze whether forces expect the scattering fore will cause the capture position of the microspheres to shift,, and the range of microspheres radius that could be stably captured by the array under different topological charge combinations is obtained.