Abstract: In terms of the Green function of a harmonic point force applied at two bound half plane, the scattered field of a rigid line crossing the bi-material interface is calculated. The scattered field of the rigid line can be split into a bounded part and a singular part. Using the singular part and bounded part scattered field, the Cauchy type integral equations of the rigid line are established. The characteristic equation of the singular stress order at the intersection is obtained using the integral equation and tip characteristic of Cauchy type integral. The singular stress coefficients at the rigid line tips and the intersection are defined by the singular stress near the rigid line tips and the intersection. Numerical solution of the integral equation gives the singular stress coefficients at the rigid line tips and the intersection.