Focusing properties of the vortex beams with axicon is studied. The focusing intensity distribution of vortex beams with axicon by using Huygens-Fresnel diffractive integral is investigated. Numerical calculations show that after focused by the axicon, a vortex beam can convert into a high-order Bessel beam. The influence of by different cone angles of the axicon and the different topological number of the vortex beam on the focusing properties of vortex beam is investigated. The results show that in the maximum distance of the non-diffraction zone of the axicon, the obtained high-order Bessel beam keeps the original non-diffraction properties.