In　this　paper,　a　saturation　model　of　an　induction　machine　in　terms　of　a　space　vector　is　presented.　After　the　differences　of　stable　and　transient　inductance　of　saturation　are　discussed,　voltage　equations　by　a　space　vector　for　the　stator　and　rotor　of　an　induction　machine　are　derived　which　take　account　of　the　transient　saturation　of　the　main　flux　path.　A　torque　expression　by　space　vector　in　the　same　conditions　is　also　discussed.　Finally,　a　complete　model　of　the　induction　machine　by　space　vector　is　established.　Some　transient　performances　such　as　start-up　of　induction　machine　are　simulated　using　this　new　model.　The　results　of　simulation　show　that　the　model　presented　in　the　paper　is　feasible.　©　2001　Int.　Acad.　Publ./World　Publ.　Corp.