Abstract: In this paper the crack problem for two bonded inhomogeneous half-planes is considered. It is assumed that the different materials have the same Poisson ratio v, but generally speaking, both Young's moduli vary exponentially with the coordinate x in different form. Using the single crack solution of the inhomogeneous plane problem and Fourier transform technique, the problem is reduced to a Cauchy-type singular integral equation. Several numerical examples to calculate the stress intensity factors are carried out.