Due　to　the　pressure　of　environmental　pollution　and　energy　crisis,　the　integrated　energy　system　(IES)　with　multiple　energy　hubs　(EH)　has　been　widely　promoted.　This　paper　proposes　a　distributed　coordinated　robust　optimal　scheduling　method　for　multi-EH-based　IES.　Firstly,　a　two-stage　robust　optimization　(TRO)　model　is　developed　for　multi-EH-based　IES　with　uncertain　wind　power.　To　solve　the　min-max-min　model　of　TRO,　the　column　and　constraint　generation　(C&CG)　method　is　employed,　which　transforms　the　TRO　model　into　master　problem　(MP)　and　subproblem　(SP).　Secondly,　the　alternating　direction　method　of　multipliers　(ADMM)　is　used　to　solve　MP　to　guarantee　the　information　privacy　of　subsystems.　Furthermore,　an　acceleration　strategy　is　developed　to　improve　the　convergence　performance　of　ADMM.　The　proposed　distributed　coordinated　robust　optimization　strategy　has　the　advantages　of　privacy　protection　and　higher　economy.　Simulation　results　in　a　three-EH-based　IES　are　presented　to　illustrate　the　effectiveness　of　proposed　method　for　optimal　synergy　of　multiple　EHs　with　uncertainty.　©　2023,　The　Author(s),　under　exclusive　license　to　Springer　Nature　Singapore　Pte　Ltd.