The　Electricity-Hydrogen　Coupling　System　(EHCS)　enhances　the　flexibility　of　the　power　system,　facilitates　the　storage　of　excess　energy,　and　smooths　energy　output.　This　capability　aids　in　effectively　addressing　load　fluctuations　and　grid　instability.　In　this　paper,　an　optimal　dispatch　model　for　EHCS　that　takes　into　account　the　uncertainty　of　electricity　prices　is　established.　The　model　introduces　a　stepped　carbon　trading　mechanism　alongside　a　demand　response　strategy,　which　significantly　reduces　carbon　emissions　while　ensuring　the　economic　operation　of　EHCS.　By　implementing　multiple　scenarios,　the　effectiveness　of　the　proposed　strategy　through　comparative　analysis　is　validated.　　©　2025　IEEE.