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To improve the forming quality of power spinning cylindrical components for solid rocket motor casings, this study focuses on optimizing power spinning process parameters for D506A new-generation ultra-high strength steel. Through single-factor experiments and Box-Behnken response surface methodology, we systematically investigated the influence of thinning ratio, feed ratio, and first-pass allocation ratio on springback of power spinning components. The experimental results demonstrate that: The springback of D506A in power spinning presents a “∧” trend with the increase of thinning ratio; it increases with the increase of feed rate; and it decreases with the increase of the first-round distribution ratio. Influence hierarchy of process parameters on wall thickness springback: Feed ratio (B) > Thinning ratio (A) > Interaction effects between thinning ratio and feed ratio (A×B) > First-pass reduction allocation ratio (C) > Interaction effects between thinning ratio and first-pass reduction allocation ratio (A×C). These findings provide valuable theoretical guidance for practical manufacturing processes involving D506A New-Generation ultra-high-strength steel components.