Abstract: In order to solve the fracture parameters of piezoelectric materials with cracks under the electromechanical coupling effect accurately and effectively, Cell-Based smoothed extended finite element method for piezoelectric materials containing cracks was put forward firstly by introducing complex potential function method, extended finite element method and smooth gradient technology into the problem of fracture mechanics for piezoelectric materials with cracks. Then, the intensity factors of piezoelectric materials with center cracks were simulated, and the simulated results were compared with the calculated results of extended finite element method and finite element method. The results of numerical examples show that Cell-Based smoothed extended finite element method has both the characteristics of extended finite element method and smoothed finite element method, not only the element meshes and crack surface are independent of each other, but also unnecessary to divide the element at crack tip precisely, at the same time, Cell-Based smoothed extended finite element method also has advantage such as the shape function is simple and does not require derivative, the mesh quality requirements are low and the solution precision is high, etc. The conclusions obtained show that Cell-Based smoothed extended finite element method is an effective numerical method for fracture analysis of piezoelectric materials.