Economic　dispatch　(ED)　plays　an　important　role　in　economic　operation　of　the　microgrid　(MG).　However,　the　communication　links　among　distributed　generators　(DGs)　may　practically　be　corrupted　by　additive　noise,　resulting　in　erroneous　deviations　from　ED　commands.　To　deal　with　such　issues,　this　study　proposes　a　distributed　noise-resilient　ED　strategy　for　islanded　MG.　Owing　to　consensus-based　implementation,　the　proposed　ED　strategy　is　implemented　in　a　fully　distributed　manner,　which　enables　peer-to-peer　communication　among　DGs　without　the　necessity　of　a　central　controller.　In　addition,　the　proposed　ED　strategy　involves　post-iterate　averaging　technique　to　further　enhance　its　convergence　under　additive　communication　noise.　In　this　way,　different　from　the　existing　ED　strategies,　the　proposed　ED　strategy　is　fully　distributed　and　resilient　to　the　communication　noise.　Furthermore,　the　effectiveness　of　the　proposed　ED　strategy　is　evaluated　on　an　islanded　MG,　where　the　communication　links　are　corrupted　by　different　levels　of　additive　noise.　Finally,　in　order　to　fully　take　account　of　the　uncertainty　and　stochastic　nature　of　different　operation　scenarios,　the　Monte-Carlo　simulations　are　carried　out,　of　which　the　simulation　results　demonstrate　that　the　proposed　ED　strategy　is　superior　to　the　existing　ED　strategies,　in　terms　of　the　convergence　property　under　additive　communication　noise.