In the process of traditional embossing, commemorative coins may have problems such as insufficient filling and flash lines. Technical engineers usually try testing mold repeatedly to obtain 2 high-quality coins, which leads to an increase in production cost and period, as well as the delay of new technology in the coining process. Therefore, we have developed a special software, CoinFEM, to assist engineers in predicting insufficient filling in advance and figuring out the solution to the defect. The software includes the pre-processor and solver. The open-source code of Paraview is adopted for data visualization. The solver is developed based on dynamic explicit elastic–plastic tetrahedral finite element. The central difference algorithm is utilized to solve the uncoupled equations by introducing a lumped mass matrix. Compared with the commercial software Deform 3D, the presented CoinFEM produces similar results but with half the CPU time. Moreover, by studying combinations of different inner core and outer materials, the developed software can predict the optimal filling strategies for various material combinations.