The　Healthcare　Internet　of　Things　(HIoT)　system　enables　remote　monitor　patient　health　state　and　feedback　on　medical　treatments　timely.　The　success　of　HIoT　relies　on　how　to　share　health　data　securely　and　efficiently.　Existing　solutions　either　fail　to　ensure　the　security　or　incur　significant　overheads.　In　this　paper,　we　put　forward　an　efficient　and　secure　health　data　sharing　scheme　for　HIoT　systems,　named　ESDS,　to　solve　this　dilemma.　In　ESDS,　we　first　signcrypt　the　health　data　collected　by　IoT　devices　to　protect　patient　privacy　and　ensure　data　authenticity.　Next,　we　aggregate　N　signatures　for　N　pieces　of　different　health　data　into　a　short　signature,　which　significantly　reduces　storage　space　and　transmission　size,　i.e.,　from　O(N)　to　O(1).　Then,　we　apply　local　verifiability　to　verify　one　piece　of　health　data　under　the　aggregated　signature.　With　this　property,　a　doctor　only　needs　one　auxiliary　message　generated　by　the　patient　to　check　the　target　message　without　obtaining　whole　health　data,　which　improves　system　verification　efficiency.　Extensive　security　analysis　and　performance　evaluation　show　that　ESDS　is　secure　and　efficient.&　COPY;　2023　Elsevier　B.V.　All　rights　reserved.