This paper presents a method of the optimum design for rotating shaft of centrifugal pump. That is, the object is to optimize the system in stability at the operating speed, unbalance response in the vicinity of the rotor critical speed, leakage flow of the seals. The objective function is composed of these three elements and is minimized by changing seal cleareance, diamoters, and lengths. A typical double suction centrifugal pump is analyzed and its objective function is presented. Then the optimum dimensions of seals are obtained, and vibration characteristics at both initial and optimum conditions are investigated.