In this paper, the propagation characteristics of third-order and fourth-order vortex beams in Bessel lattices in 0-order, 1-order and 2-order self-focusing photorefractive media are studied. The effects of different Bessel lattice orders and different lattice transverse scales on the propagation characteristics of third-order and fourth-order vortex beams are mainly discussed. The results show that when the third and fourth-order vortex beams propagate in the Bessel lattice in the self-focusing photorefractive medium, by controlling the amplitude of the input vortex beam and selecting the appropriate Bessel lattice depth, applied bias and lattice transverse scale, the third and fourth-order vortex beams can formstable vortex solitons in the 0-order, 1-order and 2-order Bessel lattice and can transmit stably. When the amplitude of the input vortex beam is fixed, by adjusting the depth of Bessel lattice, the transverse scale of lattice and the externally applied bias, we can obtain the vortex soliton and the vortex soliton can propagate stably, whereas the energy of the input vortex beam is all within the first ring of lattice. And the lattice depth of the fourth-order vortex beam is larger than that of the third-order vortex beam. When propagating in the same order Bessel lattice, the lattice depth required for stable transmission of the fourth-order vortex beam is larger than that of the third-order vortex beam.