A parametric finite element (FE) model was developed to allow a broad investigation into the influence of various parameters, such as load conditions, stacking sequence and the number of steps on the performance of the stepped-lap repairs in composite laminated cylindrical shells. And the peak stresses determined with respect to changes in stacking sequence and the number of steps. Furthermore, the adhesive stress distribution resulting from joining mismatched laminate cylindrical shells was investigated. The results of this investigation provide further insight into the stresses that develop in stepped repairs of composite structures under load. This insight may lead to improve design and analysis techniques of stepped repairs in composite structures.