The most common defects in sheet stamping process are problems of wrinkling and cracking. For an automobile stainless steel cover plate with complex structure, the stamping process was numerically analyzed based on finite element platform DEFORM and orthogonal test method. Then, taking the minimum thickness, the maximum thickness, the damage value and the wrinkling of part as the evaluation objectives, the influences of different factors such as blank holder force, friction factor, clearance between punch and die and stamping speed on the forming quality of parts were studied, and the stamping process parameters were optimized by range analysis. The results show that the impacts of clearance between punch and die and blank holder force on the forming quality of parts were greater, and the impact of friction factor is the least. After adopting the optimal process parameters combination, the minimum thickness of part is increased by 53%, the damage value of part is small, and the purpose of reducing the crack risk for part is realized. Finally, according to the optimal process parameters combination, the trial production is carried out, and the parts that meet the requirements are obtained to verify the reliability of the simulation results.