Based on the nonlinear optimization technique with constraints, the optimum hull forms from the hydrodynamic aspects have been investigated. The design system used in the paper to find an optimum hull form consists of three models ; (1) Shape definition model, in which the spline curves are used to define the underwater shape of a ship, (2) Hydrodynamic model, in which the wave exciting forces and haeve damping coefficient are concerned, (3) Optimization model, in which the so-called GRG method is used. Two examples are illustrated. One is the optimum hull form Which minimizes is wave exciting forces and another is the one which minimizes ship motions in waves.