Investigation of the interlaminar shear cracks for the laminated composites is considered. We tried to estimate the fracture parameters and take into account the properties of the laminated structure and accumulation of the damage in the composites. G-integral method is used to determine the fracture parameters. The closed form for the G-integral was received for compound two layered strip and stress intensity factors were established. The algorithm for obtaining the characteristics of the fracture parameters for the interlaminar cracks was proposed, which allows us to analyze the dependence of fracture parameters from the layered structure and the level of the damage in the components of a layered composite material.