The　continuous　jumping　of　bioinspired　robots　in　3D　spaces　can　greatly　improve　its　motion　flexibility,　which　is　one　of　the　highlights　of　research　on　jumping　robots.　However,　most　existing　jumping　robots　can　only　move　in　a　plane,　and　achieving　stable　continuous　steering　jumping　is　difficult.　In　this　study,　a　realization　method　of　stable　continuous　steering　jumping　for　a　bioinspired　jerboa　robot　is　proposed.　On　the　basis　of　the　jumping　mechanism　of　the　jerboa,　the　robot　mechanism　model　is　established,　and　the　factors　affecting　motion　feasibility　and　performance　are　analyzed　in　detail.　Then,　mathematical　models　of　the　stability　indices　of　the　robot　jumping　on　uneven　ground　with　redundant　driving　are　established.　Based　on　the　proposed　improved　bee　colony　algorithm,　the　motion　parameters　and　driving　parameters　can　be　determined.　Simulation　results　show　that　the　robot　can　realize　stable　continuous　steering　jumping　in　different　terrains　along　the　expected　trajectory,　thus　proving　the　feasibility　of　the　method　proposed　in　this　study.　This　study　provides　a　theoretical　reference　for　the　high-speed　flexible　motion　of　legged　robots　in　3D　spaces.　©　2023　Wiley-VCH　GmbH.