The　development　of　hollow　structures　with　structural　and　composition　complexity　are　highly　attractive　in　the　field　of　energy　storage.　In　the　present　work,　we　demonstrate　the　rational　construction　of　unique　heterostructured　core-shell　Bi2S3@Co9S8　complex　hollow　particles　(CHPs)　through　a　facile　metal-organic　framework　(MOF)-engaged　strategy,　in　which　the　Bi2S3　spheres　are　well　confined　in　the　Co9S8　multi-cavity　hollow　shells.　Benefiting　from　the　specific　structural　and　composition　advantages,　the　core-shell　Bi2S3@Co9S8　CHPs　exhibit　remarkable　Li-　and　Na-ion　storage　performance　in　the　aspects　of　high　reversible　capacity,　excellent　rate　performance　and　long-term　cycling　stability.　Electrochemical　analyses　reveal　fast　reaction　kinetics　in　the　core-shell　Bi2S3@Co9S8　CHPs.　Meanwhile,　a　Bi2S3@Co9S8//LiFePO4　full　cell　is　successfully　fabricated　to　evaluate　their　potential　for　real　applications.　In　addition,　the　possible　reaction　mechanisms　of　the　core-shell　Bi2S3@Co9S8　CHPs　for　both　Li-　and　Na-ion　storage　have　been　investigated　via　ex　situ　X-ray　diffraction　technique.　Furthermore,　density　functional　theoretical　calculations　confirm　the　heterostructure　in　the　Bi2S3@Co9S8　CHPs　can　enhance　the　electrical　conductivity　and　reaction　kinetics.　This　work　may　offer　new　opportunities　for　integration　of　two　active　anode　materials　with　high　capacity　and　electrochemical　activity　into　one　heterostructured　complex　hollow　structure.　©　2020　Elsevier　B.V.