The recently-developed automated vessels require a system which evaluates the operating conditions of the ship at present position from weather information as well as sensors ; forecasting the operations condition in the state to come in foreseeable future ; and suggests the optimum course and speed for ship's safety. According to a study, deck wetness, propeller racing, slamming. rolling, vertical acceleration, lateral acceleration, vertical bending moment at midship etc. were chosen as the factors for evaluating seakeeping performance. As a matter of act, there is no developing the hardware of a system which could consider all the factors on seakeeping performance. This study introduces a theoretical method which makes it possible to evaluate the seakeeping performance by applying a theory from reliability engineering, and thereby establishing a safety space. The author adopts rolling and pitching as the factors on seakeeping performance by clarifying the correlation of stochastic processes the factors presently adopted for evaluation system in consideration of the safety of human being, cargoes and the ship. This method of evaluation shall be of much use in developing the practical system of seakeeping performance of a ship in waves.