The　droplet　dynamic　model　under　an　electric　field　is　established　in　this　paper　by　coupling　electric　equations,　multiphase　flow　equations,　and　isoAdvector　interface　capture　method,　accurately　predicting　the　deformation　and　rupture　characteristics　of　multiple　emulsion　droplets　affected　by　an　electric　field.　The　evolutions　of　the　flow　field　and　electric　field　during　the　deformation　and　breakup　processes　of　multiple　emulsion　droplets　subjected　to　an　electric　field　are　elucidated　and　the　effects　of　the　electric　capillary　number　Ca　and　the　radius　ratio　R*　of　the　inner　and　outer　droplets　on　the　characteristics　of　droplet　deformation　and　rupture　are　analyzed.　The　results　show　that　in　the　silicone　oil/water　emulsion　system,　the　inner　droplet　is　difficult　to　induce　charge　since　the　electrostatic　shielding　effect　of　the　outer　droplet,　and　it　has　no　impact　on　the　equilibrium　deformation　of　the　outer　droplet;　whereas　in　the　castor　oil/silicone　oil　emulsion　system,　the　charge　is　induced　on　the　interfaces　of　both　the　internal　and　external　droplets　and　the　internal　droplet　has　a　remarkable　impact　on　the　equilibrium　deformation　of　the　external　droplet.　Furthermore,　deformation-breakup　phase　diagrams　of　multiple　emulsion　droplets　exposed　to　the　electric　field　are　obtained.　As　R*　increases,　the　Cac　for　droplet　breakup　decreases,　indicating　that　the　internal　droplet　intensifies　the　breakup　of　the　external　droplet.　The　results　are　significant　for　the　promotion　and　application　of　electric　field-driven　droplet　manipulation　technology.