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To reduce the noise of a reactor under inverter power supply, the cause of noise should be investigated. For this purpose, we have already proposed a 3-D vibration analysis considering electromagnetism and magnetostriction, and the proposed method was applied to one phase of a reactor. It was found that the displacements in the yoke of the reactor are large and the hardness of insulators inserted in the gaps between cores affects the displacements. However, the optimal design to reduce the noise is not carried out. In this paper, first the better hardness of the gaps are determined by using the static structure analysis and a new design is proposed to reduce the noise. Moreover, the effectiveness of the improved hardness of gaps and the proposed new design of reactor is investigated by using the vibration analysis and the experiment.