A magnetoresistive element using combined spin-transfer-torque controlled magnetic bias and VCMA effects comprising a free layer and an adjacent-bias layer separated by a nonmagnetic spacing layer, wherein the free layer has an interfacial perpendicular magnetic anisotropy and a variable magnetization direction substantially perpendicular to a film surface, the adjacent-bias layer has a perpendicular magnetic anisotropy and a variable magnetization direction substantially perpendicular to a film surface, and the perpendicular anisotropy of the free layer is sufficiently higher than that of the adjacent-bias layer such that the critical switching current to reverse the free layer magnetization direction is at least 3 times as high as the critical switching current to reverse the adjacent-bias layer magnetization direction. Further, there is provided a toggle writing method of the perpendicular magnetoresistive element comprises: applying a first write pulse having a first voltage magnitude and a first pulse width to reverse the adjacent-bias layer magnetization direction to be anti-parallel to the free layer magnetization direction by spin-transfer-torque effect, and applying a second write pulse having a second voltage magnitude and a second pulse width to reverse the free layer magnetization direction to be parallel to the adjacent-bias layer magnetization direction by voltage-controlled magnetic anisotropy effect under the magnetic dipole bias field from the adjacent-bias layer.