The work aims to design an interference sealing structure of plastic container and metal cover to study the sealing performance of packaging container and analyze the effects of interference amount and material properties (elastic modulus, Poisson’s ratio and friction coefficient) on the sealing performance of container. The structure design scheme of the packaging container was prepared and the interference connection between the plastic container and the metal sealing cover was modeled by UG software. The mechanical model of the interference connection of the contact part was simulated as a cylinder interference fit model and then theoretical analysis was carried out and Ansys was used to verify the simulation. Finally, Ansys Workbench was used to create a three-dimensional axisymmetric finite element analysis model under the working state of the metal sealing cover, and the contact stress under different interference and material properties was compared. The contact stress between the metal sealing cover and the bottle mouth increased with the increase of the mounting interference, and the relationship between the contact pressure and the mounting interference was approximately linear. The effect of elastic modulus on contact stress was not obvious, and the variation trend of maximum contact stress increased steadily with the change of elastic modulus. Poisson’s ratio and friction coefficient had little effect on the contact stress of interference connection. The value of contact stress fluctuated with the change of parameters. Therefore, under the condition of that the yield strength of the material is not beyond the specified value, the interference should be selected as large as possible, and the elastic modulus can be increased appropriately to enhance the sealing performance of the interference connection between the plastic container and the metal cover.