To ensure the riveting quality and avoid riveting defects such as overdriven head or underdriven head, elastic and plastic mechanical analysis of the riveting process has been studied and a riveting energy control method is proposed in this paper. According to the target size of the driven head, the material properties, and the interference, the total riveting energy is calculated. Then, the relation of riveting duration and riveting energy is established to realize the control of the riveting impact energy in practical engineering. Furthermore, plastic dynamic impact buckling of the rivet is also analyzed to get impact buckling critical speed. Due to the dual-robot posture adjustment and countersunk self-centering ability, the working axes of the riveting tools, rivet, and hole are found to be well coaxial. The analysis shows there is little phenomenon of rivet bending in the dual-robot pneumatic riveting system and the impact buckling critical speed is much higher than the piston impact speed. Finally, finite element model is built for riveting dynamic simulation and dual-robot pneumatic riveting cell for fuselage panel assembly is developed to obtain experimental results. The comparison shows the proposed method has a good performance. The research results enhance the knowledge of energy effect of dual-robot pneumatic riveting, and thus offer positive guidance for practical application in aircraft assembly.