A gear pump apparatus is equipped with a pump and a sealing mechanism which is made up of an outer member, an inner member, and a rubber member fit between the outer and inner members. The inner member has a pressure-exerted surface to which pressure, as produced by contact of the rubber member with the inner member arising from application of discharge pressure of the pump, is applied. The pressure-exerted surface has a flange which creates thrust to move the inner member away from the gear pump, thereby bringing the inner member against an inner wall of a pump casing to develop a hermetical seal between a high-pressure region and a low-pressure region within the pump casing. This eliminates the leakage of pressure and ensures torque required for a pumping operation of the pump.