This study presents a solution method to analyze the nonlinear response of a patch repaired flat panel (skin) with a cutout under general loading conditions. The damage to skin is represented in the form of a cutout. A circular or an elliptical cutout can be located arbitrarily under the patch. The patch is free of external tractions while the skin is subjected to general boundary and loading conditions along its external edge. The solution method provides the transverse shear and normal stresses in the adhesive between the skin and the patch, and in-plane and bending stresses in the repair patch and repaired skin. The adherents and the adhesive between the patch and skin are linearly elastic and homogeneous. The modified Green's straindisplacement relations in conjunction with von-Karman assumptions are utilized to calculate the strains in the skin and patch; however, the adhesive transverse and shear strains are determined based on a shear-lag theory. The present solution method utilizes the principle of minimum potential energy in conjunction with complex potential functions. Results are obtained for the patch repair of a circular cutout in a skin under uniform tension.