The work aims to review the mathematic models for the migration of food packaging material components and relevant research progress, in order to provide a valuable reference for the promotion and further development of migration mathematic models. The factors affecting the migration of chemical components of food packaging materials into the food were analyzed herein. Several widely used migration simulation software was introduced. The applicability, advantages and disadvantages of different types of migration mathematic models were discussed, and their application in both regulatory standards of food packaging materials and risk assessment of chemical exposure was explained. Studies by many scholars proved that the migration mathematic models could partially replace the migration experiment, and the results were reliable and representative. Migration model is an effective tool to predict the migration of chemicals from food packaging materials into food. Although it can replace migration experiments to some extent to save costs, there are still many problems to be solved in the application of migration model.