A fuel supply device for an internal combustion engine of a motor vehicle has a supply container, a feeding aggregate which is electric-motor driven and feeds fuel from the supply container to an injection device of the internal combustion engine, a pressure sensor which determines a fuel pressure downstream of the feeding aggregate, a control device connected with the pressure sensor and controlling an operation of the feeding aggregate so that a fuel pressure is at least approximately below a nominal pressure, a throttled discharge arranged downstream of the feeding aggregate, a valve device operative for controlling the discharge depending on a fuel pressure and opening the discharge when a fuel pressure located under the nominal pressure is exceeded, and a check valve integrated in the feeding aggregate.