Trusted　date　collection　is　the　precondition　of　the　security　of　Internet　of　Things　(IOT).　Recently,　compressed　sensing　technology,　which　can　enable　the　reduction　of　the　energy　consumption　and　time　delay　of　data　collection,　has　been　extensively　studied　in　IOT;　However,　the　security　of　compressed　sensing　technology　in　IOT　has　not　been　sufficiently　considered.　Since　compressed　sensing　depends　the　cooperation　between　IOT　nodes　and　then　sensing　data　is　transparent　for　all　IOT　nodes,　which　is　subjected　to　malicious　nodes　attack.　Therefore,　we　propose　a　trusted　data　collection　scheme　based　on　compressed　sensing　oriented　to　the　IOT.　When　data　collection　is　tampered　with,　the　scheme　can　detect　malicious　nodes.　Experiments　demonstrate　that　the　proposed　scheme　can　ensure　data　security　with　a　low　energy　consumption.　©　2021　John　Wiley　&　Sons,　Ltd.