Because　of　the　problem　that　the　current　industrial　Internet　of　Things　authentication　scheme　mainly　uses　the　traditional　identity　authentication　scheme,　it　is　difficult　to　apply　to　the　secure　interaction　of　cross-domain　terminals　in　the　Industrial　Internet　of　Things.　This　paper　combines　the　trust　characteristics　of　the　trust　domain　and　proposes　an　identity-based　random　challenge　code　authentication　protocol　based　on　lattice　theory.　It　not　only　completes　the　identity　authentication　of　the　industrial　Internet　of　Things　terminals,　but　also　realizes　the　trust　authentication　of　the　industrial　Internet　of　Things　terminals,　ensuring　the　security　of　the　industrial　Internet　of　Things　terminals　security　certification.　©　2023　ACM.