Considering　the　waste　incineration　plant-carbon　capture　(WIP-CC)　system　and　market　mechanisms,　the　optimal　dispatching　strategy　of　nearly-zero　carbon　integrated　energy　system　(NZC-IES)　is　proposed.　The　incineration　of　large　amounts　of　Municipal　Solid　Waste　can　result　in　significant　carbon　emission　and　air　pollution.　However,　lack　of　consideration　of　mechanisms　for　carbon　processing　and　environmental　protection　will　prevent　the　development　of　NZC-IES.　Accordingly,　a　novel　mixed　integer　nonlinear　mathematical　model,　NZC-IES,　is　established　that　minimizes　the　total　cost　and　controls　carbon　emission　and　air　pollution.　Unlike　previous　studies　of　optimal　dispatching　for　WIP-CC　system,　the　climate　and　health　costs　of　WIP　and　the　social　costs　of　energy　sources　for　CC　are　considered.　A　model　of　adjustable　thermoelectric　ratios　for　WIP　and　a　model　for　CC　with　the　storage　tanks　are　established　to　enhance　the　flexibility　of　the　thermoelectric　output.　Also,　demand　response　model　and　ladder-type　carbon　trading　model　are　developed　to　serve　for　NZC-IES.　Case　studies　reveal　that　the　proposed　optimal　dispatching　strategy　can　realize　the　waste　to　energy　utilization　and　low-carbon　emission　with　economic　performance.　©　2023　Hydrogen　Energy　Publications　LLC