Based on the Fresnel diffraction theory, the intensity distribution of a vortex beam diffracted by a regular hexagonal multi-hole array is investigated and the effects of the structural parameters of this regular hexagonal multi-hole array on the cellular optical field are also analyzed. The research results show that the diffracted field periodically changes with the phase structure and thus a cellular or petal shaped intensity distribution can be obtained. The radius of the circular hole has an effect on the diffracted field range and the side length of the regular hexagon has influences on the width and the separation distance of the diffraction fringes.