In this paper, the anti-plane problem of multi-cracks in tiled gradient piezoelectric materials discussed. Considering the material structure with respect to axial symmetry, there are n cracks distributed along the x-axis. The mixed boundary value problem is transformed into the first kind of singular integral equation by using the Fourier transform technique and the boundary condition, and the dislocation function is introduced, and the integral equation is solved by the Gauss-Chebyshev method, the analytical expressions of shear stress and electric displacement and the strength factor of crack tip are obtained. Finally, numerical examples are given by Matlab to show the influence of crack spacing, crack geometric size, gradient parameters and material width ratio on the strength factor at the crack tip.