polarized quantum states, (2) controllably switching between different states, and (3) detecting the states themselves. Many strategies have been proposed to lift the valley degeneracy, such as optical pumping, [10,11] magnetic doping, [12,13] and proximity. [14,15] Previous results show that the valley splitting can be switched by a magnetic field. [16][17][18][19] Recently, a remarkable progress has been made in utilizing the interfacial exchange field to enhance the magnetic control on valley splitting. [20] A valley splitting of 2.5 meV T −1 has been achieved in monolayer WSe 2 deposited on a ferromagnetic EuS substrate. [20] The modulation is an order of magnitude higher than the traditional 0.2 meV T −1 . [20] However, the electrical control on the spin and valley transport is more desirable and practical for valleytronic applications. Multiferroic materials provide a fertile background to control one degree of freedom through the other. [21] Since it is still an open question whether the coupling between valley and ferroelectricity is realizable in a specific system, the electronic properties of monolayer WTe 2 on multiferroic YMnO 3 are investigated. It is found that the coupling appears between valley and ferroelectricity. For a valley-polarized monolayer, a valley splitting of 36 meV is altered when the polarization of the multiferroic substrate is reversed. The spontaneous ferroelectric polarization that can be switched by an electric field shows potential in the electrical control on valley degree of freedom. Considering different multiferroic materials and the artificial design of improper ferroelectrics, [22,23] we further argue that the multiferroic intermediate is an innovating approach toward the electrical control on valley degree, which is a superior approach than the traditional magnetic one.According to previous results, [24] the depolarization field in proper ferroelectric films, for example, BaTiO 3 or PbTiO 3 , strongly suppresses the tendency toward single-domain ferroelectric state, especially in its ultrathin case. Contrary to the proper ones, the improper ferroelectrics like YMnO 3 do not present a critical thickness below which the ferroelectricity disappears. The spontaneous polarization persists in an isolated slab of YMnO 3 . Its value is comparable to that in bulk. So it would be advantageous to consider YMnO 3 substrate and investigate the coupling between valley and ferroelectricity.Hexagonal YMnO 3 with a space group of P6 3 cm has an improper ferroelectricity. [25] Its ferroelectric Curie temperature is about 880 K, [26] much higher than its Néel temperature Control of valley degree of freedom in monolayer transition-metal dichalcogenide (TMDC) has been realized by using optical pumping and magnetic fields. However, an electrical approach is missing and has potential for practical applications. In this paper, valley/ferroelectricity coupling is demonstrated for the first time in a monolayer WTe 2 /YMnO 3 heterostructure. Tunable valley splitting by an electric field is predict...