The growth on consideration of energy savings and motor efficiency has caused the LSPM(Line Start Permanent Magnet Motor) to be focused as a substitute for conventional induction motors. A Line start permanent magnet motor able to be driven at synchronous speed is designed based on a single phase induction motor in this paper. The single phase LSPM is identical to the induction motor except a permanent magnet is installed in the rotor. As the permanent magnet influences the characteristics of both transient state and steady state, a design considering both starting and synchronization conditions was used. In this paper, by adopting DOE, a single phase motor has been designed showing high power and smooth start. Also, optimal model is selected by weighting function. And the characteristics demagnetization are analyzed according to the variation of magnet shape. Finally, to verify the design results, a prototype was measured.