By　applying　a　voltage,　electric　charge　will　be　induced　on　the　surface　of　dielectric　elastomers.　Generally,　the　charge　increases　with　the　level　of　voltage.　When　the　voltage　reaches　to　a　certain　value,　the　charge　would　not　increase　any　more　due　to　the　polarization　saturation　of　dielectric　materials.　In　this　paper,　a　thermodynamic　constitutive　model,　combined　both　the　nonlinear　dielectric　and　hyperelastic　behavior　as　dielectric　elastomers　undergoing　polarization　saturation,　has　been　developed.　Analytical　solutions　have　been　obtained　for　situations　incorporating　strain-stiffening　effect,　electromechanical　instability　and　snap-through　instability.　The　numerical　results　reveal　the　marked　influence　of　the　extension　and　polarization　saturation　limits　of　elastomer　material　on　its　electromechanical　instability　and　the　snap-through　instability.　The　developed　constitutive　model　would　be　helpful　in　future　research　of　dielectric　elastomer　based　high-performance　transducers.　(C)　2012　Elsevier　Ltd.　All　rights　reserved.