Composite fiber patching techniques are being considered as alternatives to traditional methods of strengthening and fatigue crack repair in structures due to the growing use of fiber-reinforced polymer (FRP) composite materials on different engineering structures. In this chapter, the finite element analysis of cracked steel members with FRP patching is presented. Two types of finite element models were studied-the three layers finite element model and a modified three layers finite element model-and the results of the stress intensity factors (SIFs) obtained from these two finite element models were compared. Then, a finite element study of a cracked circular pipe with FRP patching is shown and the corresponding reduction of the SIF is discussed.