Abstract: 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.