The work aims to apply ink coating treatment to two different food packaging materials, PE film and PP/PE film, and prepare migration samples to investigate the migration behavior and models of aromatic amine - p-aminoazobenzene in the ink. The migration amount of five different concentrations of p-aminoazobenzene in ink through PE and PP/PE to three food simulation liquids of 4% acetic acid, 10% ethanol, and 95% ethanol was compared and analyzed. The collected experimental data were fitted by Fick's second law, and the migration model was established. The migration amount of p-aminoazobenzene showed a trend of firstly increasing and then gradually reaching equilibrium with the increase of time. At migration equilibrium, the migration amount in various liquids exhibited the order of 4% acetic acid>10% ethanol>95% ethanol, and it was obviously positively associated with solution content in the same simulated solution. In the same simulated solution, the migration amount in the PE under various concentrations was greater than that in PP/PE film. The migration model of p-aminoazobenzene in each simulated solution was determined, and then the model was tested by experimental data. The results showed that the prediction accuracy of the model was high. The migration law and model of p-aminoazobenzene can be used to predict the migration amount of aromatic amines, which has high practical application value and can provide reference for ink quality supervision of food packaging films.