A method of producing three-dimensional facular lattice through a diffractive axicon was proposed. Based on the generalized Huygens-Fresnel diffraction integral theory, the characteristics of the facular lattice generated by a collimated monochromatic plane wave obliquely illuminated on a diffractive axicon with a large incident angle were analyzed. With different incident angles, the optical intensity distribution along the propagation direction and the diffractive optical intensity in a certain axis distance were numerically simulated. The results indicate that a regular diffractive facular lattice will appear in the maximum diffraction-free distance with the increase of the oblique incident angle. The structures of the facular lattice resemble that of the three-dimensional photonic crystal. The experimental result agrees with the numerical simulation.