The electrostrictive graft elastomer is a new type of electroactive polymer. Recentlydeveloped by NASA, it consists of flexible backbone chains, each with side chains, calledgrafts. Neighboring backbone grafts physically cross-link and form crystal units. Theflexible backbone chain and the crystal graft unit consist of polarized monomers, whichcontain atoms with electric partial charges, generating dipole moments. When theelastomer is placed into an electric field, external rotating moments are applied to thedipole moment. This stimulates electrostrictive strain in the graft elastomer. In this paper,the deformation of the elastomer under the action of an electric field is explained by meansof two dominant mechanisms: crystal graft unit rotation and backbone chain reorientation.A two-dimensional computational model is established to analyze the deformation.