Existing　literature　ignores　to　consider　multiple　types　of　pollutants　when　analyzing　energy　efficiency　and　its　convergence.　Under　this　background,　using　SuperSBM-GML　model,　the　improved　entropy　method,　and　convergence　model,　this　paper　calculates　the　green　total-factor　energy　efficiency　and　its　evolution　trend　of　35　China＇s　industrial　sub-sectors　considering　multiple　pollutants,　and　analyzes　its　convergence.　The　results　indicate　that　the　average　score　of　industrial　green　total-factor　energy　efficiency　is　low,　and　there　are　significant　differences　among　sub-sectors:　＂Utilization　of　waste　resources＂　is　the　highest,　while　＂Manufacture　of　paper　and　paper　products＂　is　the　lowest.　The　green　total-factor　energy　efficiency　shows　an　overall　upward　trend　from　2006　to　2021,　the　main　driving　force　comes　from　technological　progress,　but　numerous　sub-sectors　have　not　sufficiently　caught　up　with　existing　cutting-edge　technologies.　Specifically,　the　growth　rate　of　green　total-factor　energy　efficiency　in　high-energy-consumption　sub-sectors　is　higher　than　low-to-medium-energy-consumption　sub-sectors.　There　are　both　sigma-convergence　and　beta-convergence　in　low-to-medium-energy-consumption　group,　indicating　that　development　of　sub-sectors　is　stable　and　outstanding.　Nevertheless,　the　high-energy-consumption　group　only　exhibits　conditional　beta-convergence,　revealing　an　imbalance　in　energy　efficiency　development.　Consequently,　formulating　the　benchmark　level　of　energy　efficiency　and　developing　energy　efficiency　＂leader＂　system　are　suggested　for　low-to-medium　and　high-energy-consumption　sub-sectors,　respectively.