Fiber metal laminates (FMLs) are widely used in high-end transportation equipment due to their excellent lightweight characteristics and high strength. Among various fabrication methods, the one-step hot stamping process offers an advanced and efficient approach for manufacturing FML hybrid components. The critical process parameters of this method have a decisive impact on the final component's mechanical properties and geometric accuracy. In this study, Al-CF/PEEK hybrid curved beam components consisting of 6061-T6 aluminum alloy, PEEK films, and CF/PEEK prepregs were fabricated using the one-step hot stamping forming process. Mechanical testing, digital image correlation (DIC) technique, and scanning electron microscopy (SEM) were employed to investigate the effects of forming process parameters (forming pressure and stamping speed) on the mechanical properties and geometric accuracy of the hybrid components. Results indicate that stamping speed has minimal impact on component thickness but significantly affects the spring-in angle and mechanical properties. As the stamping speed increases, the spring-in angle decreases; however, mechanical strength also declines. Higher forming pressure results in reduced spring-in angles, with the smallest value (0.73°) observed at a pressure of 4 MPa. However, excessive pressure introduced interface damage, causing mechanical properties to deteriorate after a certain threshold. Optimal performance was achieved at a stamping speed of 10 mm/s and a forming pressure of 3 MPa, yielding a strength of 244.82 N·mm/mm and a critical fracture energy of 5.002 N·m, along with high geometric accuracy. These findings offer valuable guidance for optimizing the process.