The authors have presented a new approach to solve the viscous flow around the stern end including the wake. The particular iterative procedure has been developed to satisfy precisely the condition on the boundary surface between the outer potential flow region and the inner viscous flow region, namely the boundary layer and wake (abbrv. BLW). The procedure makes the continuous solution of BLW to be obtainable avoiding the divergence of it at the stern end. The computational process is composed of two main parts, one of which is the potential flow calculation by the modified Hess & Smith method with the correction of the blow-out effect of BLW and the other is the boundary layer calculation by the integral method considering the cross flow of Okuno's reversed cross flow model. The numerical results for two examples, Series 60 ( C_B =0.60) and HSVA tanker ( C_B =0.85), have indicated the possibility of solution of the stern end flow continuing the wake without any divergence within the field of the boundary layer theory.