The work aims to design a transverse sealing mechanism that conforms to the transverse sealing requirements for massive packages, so as to better meet the requirements of transverse sealing process. Based on the analysis of transverse sealing process of the massive objects, the mathematical model for the Fourier non-circular gear was established. According to the process requirements, the objective function was established, the parameter optimization model for the transverse sealing mechanism was established, and the correctness of the model was verified by an example. It can be seen from the example that the optimally designed Fourier non-circular gears could better satisfy the design requirements and have higher flexibility than the conventional traditional eccentric circles. The transverse sealing mechanism parameters are optimally designed by adopting the more flexible transverse sealing mechanism of Fourier non-circular gear pair drive, which can better meet the transverse sealing requirements for massive objects.