In the present paper the skin-stringer delamination problem for composite stiffened shells is solved. The skin-stringer delamination is analyzed employing linear fracture mechanics approach. Energy release rates (ERR) are calculated by Modified Virtual Crack Closure Integral (MVCCI) method. The problem is solved not using the 3D solid finite elements, but employing the 2D shell elements. Employment of the 2D shell elements instead of 3D elements significantly reduces computational efforts in the case when whole composite stiffened structure is analyzed for postbuckling. Mode I, mode II and mixed mode I/II fracture properties are obtained for the fracture criterion of the carbon/epoxy composite laminate. The fracture criterion is used for prediction of delamination at the skin-stringer interface.