Electromagnetic riveting is a riveting technology that is driven by electromagnetic force, and driving force is the most critical factor affecting the forming quality of rivets. In order to master the influence law of driving force in electromagnetic riveting, the mathematical modeling method is used to simplify the solution process of driving force in electromagnetic riveting process, and the numerical calculation model of driving force in inductive and self-excited electromagnetic riveting is established. And the reliability of the numerical calculation model was verified by the experiment. At the same time, the MATLAB App Designer is used to design the visualization system for the calculation of the driving force of electromagnetic riveting, and the simple and convenient calculation of the driving force of electromagnetic riveting is realized. Based on this system, the influence law of the electrical parameters of the self-excited electromagnetic riveting is analyzed. The results show that the increase of discharge voltage and capacitance, and the decrease of loop resistance and loop inductance are beneficial to improve the peak value and change rate of the electromagnetic driving force of electromagnetic riveting.