A rotating pumping apparatus is provided which may be employed in an automotive brake system. The rotating pumping apparatus includes a sealing member and a pressure member. The sealing member is disposed around a pump drive shaft. The pressure member includes a plate spring, a first rotation stopper, and a second rotation stopper. The first rotation stopper serves to stop the pressure member from rotating following rotation of the pump drive shaft. The second rotation stopper engages the seal ring to stop the sealing member from rotating following the rotation of the pump drive shaft. The plate spring works to elastically press the sealing member against a stopper wall of a pump casing to stop the sealing member from moving in an axial direction of the pump drive shaft.