This paper investigates the propagation of charge-2 vortex beam in 0-order and 1-order Bessel lattices induced by non- diffracting Bessel beams in media with focusing nonlinearity. Different stable ring- like vortex solitons can be generated when the lattice depth I0 matches the intensity of the bias electric field. Simulation results show that the vortex beam with topological charge m=2 can form the stable single-ring and multi-ring vortex solitons in a Bessel lattice.