Lithium-sulfur　(Li-S)　batteries　have　gained　widespread　attention　owing　to　their　high　theoretical　energy　density　and　low　cost.　However,　the　commercial　application　of　these　batteries　is　hindered　by　the　severe　shuttle　effect　and　slow　redox　reaction　kinetics　of　polysulfides.　In　this　study,　a　hierarchically　porous　membrane　consisting　of　CoSe2　nanoparticle-decorated　carbon　nanofibers　containing　carbon　nanotubes　(CoSe2@CNF/CNT)　is　constructed　as　a　self-supported　sulfur　host　for　Li-S　batteries.　The　hierarchical　conductive　network　of　CNFs/CNTs　with　N-doped　porous　carbon　facilitates　electron/ion　transport　and　provides　sufficient　space　to　mitigate　the　volume　expansion　of　lithium　polysulfides　(LiPSs).　Moreover,　the　modified　CoSe2　nanoparticles　serve　as　both　chemical　trappers　and　electrocatalysts,　chemically　anchoring　LiPSs　and　accelerating　the　redox　kinetics　to　inhibit　the　shuttle　effect.　As　a　result,　an　initial　specific　discharge　capacity　of　1098.8　mA　h　g−1　is　achieved　at　1　C.　Importantly,　the　cathode　exhibits　superior　cycling　stability　with　a　capacity　decay　rate　as　low　as　0.06%　over　500　cycles.　This　work　offers　a　feasible　approach　to　designing　multi-functional　sulfur　hosts　for　high-energy-density　Li-S　batteries.[Figure　not　available:　see　fulltext.]　©　2023,　Science　China　Press.