The　deep　integration　of　informatization　and　industrialization　has　resulted　in　an　increasingly　close　connection　between　supervisory　control　and　data　acquisition　(SCADA)　systems　and　the　Internet,　leading　to　a　growing　number　of　new　applications　in　industrial　IoT.　The　boundaries　of　the　SCADA　system　are　monitored　by　industrial　smart　sensors,　which　only　have　limited　security　protection　and　face　severe　security　threats.　One　of　the　major　threats　is　that　smart　sensors　are　vulnerable　to　physical　attacks　because　they　are　often　installed　in　unsafe　areas　far　from　plant　protection.　Under　this　attack,　the　data　of　sensors　can　be　easily　tampered　with,　which　may　not　only　mislead　the　system　with　corrupted　information　but　also　cheat　the　system　to　make　incorrect　decisions.　Moreover,　since　sensors　are　resource-constrained　physical　devices,　complex　and　expensive　encryption　algorithms　are　not　applicable.　In　this　paper,　we　design　a　lightweight　industrial　smart　sensor　data　stream　integrity　verification　scheme　based　on　physical　unclonable　function　(PUF)　for　industrial　IoT,　which　can　protect　the　physical　security　of　sensors　and　the　integrity　of　data　streams　to　ensure　the　secure　transmission　of　industrial　smart　sensor　data　streams.　We　utilize　PUF,　fuzzy　extractor　and　bit　selection　algorithm　to　generate　stable　PUF　responses.　A　malicious　attacker　cannot　extract　the　key　information　through　the　physical　attack.　In　addition,　we　design　a　lightweight　integrity　verification　algorithm　with　efficient　key　updating　based　on　lightweight　cryptographic　primitives,　making　it　suitable　for　resource-constrained　physical　devices.　We　perform　the　security　analysis　to　demonstrate　the　security　of　the　scheme　to　known　security　vulnerabilities.　We　implement　the　proposed　scheme　and　evaluate　the　performance　of　our　scheme　with　extensive　experiments.　The　experimental　results　show　that　the　proposed　scheme　is　efficient　in　secret　key　generation　and　integrity　verification　and　is　superior　to　existing　schemes　in　computational　and　communication　efficiency.　IEEE