The authors had developed a component-type mathematical model of hydrodynamic forces acting on a ship hull in steering motion that is deduced from the simplified vortex model. This mathematical model describes the hydrodynamic forces X, Y and N with small to large drift angles, and it is also applicable to changing trim and loaded condition of a ship. This paper describes a prediction method of ship maneuvering hydrodynamic forces with small to large drift angles by oblique hydrodynamic forces and the estimated results of the steering motion using the hydrodynamic forces expressed by the component-type mathematical model. On this estimation, the expressions proposed in this paper to estimate some hydrodynamic characteristic constants are used. Through these investigation, it has been found that the component-type mathematical model can predict hydrodynamic forces with small to large drift angles and the steering motion only through oblique hydrodynamic forces. This method will be useful to predict maneuvering behavior at initial design stage or in the case of few of sea trial data available.