This paper proposes a singular integral equation method to analyze the two-dimensional crack in anisotropic piezoelectric bimaterials.Using the Greens function and Somigliana,the boundary integral equations are presented.Some mathematical derivations are carried out to singular integral equations with Cauchy kernel,in which the derivatives of the generalized displacement discontinuities are the unknown quantities.Then the exact analytical solution of the extended singular stresses and extended stress intensity factors near the crack tip are obtained.Singular integrals arising in the boundary integral equations are computed through Gauss-Chebyshev collocation method.Finally,numerical solutions of the extended stresses intensity factors of some examples are obtained.