One efficient strategy for addressing the global water shortage is advanced membrane separation, which depends on the precise pore size being close to the hydrated ion size and other surface properties like charge and polarity. However, it is very difficult to fabricate uniform pores with diameters of <1 nm on monolayer membranes. By applying an electric field (bias voltage) perpendicular to the direction of the pressure difference, herein we demonstrate for the first time that a monolayer nanoporous graphene membrane with pores much larger than hydrated ions exhibits high salt rejection and allows a high rate of water transport. This theoretical proposal goes beyond the pore size limitation and shows promise for the design of high-performance reverse osmosis membranes.