Combined with grating in food packaging materials, optical properties and the halftone image and network technology, studied the anti-counterfeiting grating moire fringe of printing forming rules. Explored the new technology of food packaging, and adopt the method of theoretical calculation of moire fringe formation and distribution characteristics. And the analysis and calculation are verified by experiments. According to the actual situation of food packaging grating printing, and the laws of the moire fringe formation, the results showes that choosing suitable grating and screen printing and network Angle/grating line ratio, can effectively eliminate or weaken the influence of the moire fringe.