The　present　paper　investigated　the　stress　distribution　at　notch　and　crack　tips　of　piezoelectric　materials　by　coupled　electric　and　elastic　FE　method.　The　singularities　of　the　stress　at　the　tips　are　emphasized　for　different　notch　angles　and　different　electric　strengths.　The　numerical　results　show　that　the　notch　angle　can　affect　obviously　the　singularities　of　the　stress　and　slightly　the　stress　level　in　the　front　of　the　tips.　The　electric　field　induces　oscillation　of　the　stress,　but　the　stress　has　relatively　small　level.