Classical hyperelastic models (such as eight-chain and full-chain models) struggled to accurately describe uniaxial and biaxial tensile behaviors of dielectric elastomers simultaneously, causing inaccurate predictions of actual electro-induced responses in existing electro-mechanical coupling theories. To address this limitation, entanglement effect was introduced into the hyperelastic framework based on the tube model theory, and a novel hyperelastic model depending only on first and second invariants of strain tensor and containing three material parameters was constructed. Combined with ideal dielectric hypothesis, an electro-mechanical coupling constitutive model for dielectric elastomers with four parameters was established. The predictive capability of the proposed model was validated by fitting experimental data from uniaxial tension, biaxial tension, and pure shear electro-mechanical coupling tests of acrylic elastomers. Compared with traditional electro-mechanical coupling models based on eight-chain models, the constitutive model considering entanglement effect significantly improved fitting accuracy for multiaxial tensile behaviors and effectively described electro-induced deformation responses. The established model is expected to provide theoretical support for structural design of soft actuators, and future work can incorporate viscoelasticity and damage effects into the electro-mechanical coupling framework.