In ocean going fine ships such as container ships with high power main engine, it seems almost impossible to improve their propulsive performance to a large extent so far as the conventional stern form is used. The reason is that severe design condition such as a draft restriction, TKM (transverse metacentric height) requirement and propeller tip clearance requirement, restrict the propeller diameter and the stern form modification to a narrow range. This paper describes the change with year of these restrictions and the influence of these restrictions on the propulsive performance mainly on TKM, and a new stern form developed by the authors.