This paper deals with the mechanical stress analysis due to electromagnetic forces and the optimal design of the link considering the stress. The link in Interior Permanent Magnet Brushless Motor(IPM) have influence on both mechanical and magnetic performance. The decrease of the link thickness serves to improve the torque, whereas this decreases the strength of link. Therefore, it is necessary to determine the appropriate link thickness considering electromagnetic forces and thermal expansion. The effects of the variation of link thickness on the mechanical stress and the electromagnetic performance are analyzed by the structural and electromagnetic Finite Element Method. In addition, the mechanical structure design of the link is performed to reinforce the mechanical strength against magnetic forces while preserving a food magnetic torque.