In this paper, main particulars of a ship are optimized by the multiobjective optimization method which can offer more information to designer. To analyze the effect of a ship building cost and operating cost in the optimum design of a ship, the multiobjective optimization is performed with objective functions of building and operating costs. And Required Freight Rate(RFR) is also calculated as dependent variable. The design model was developed for the Liquefied Natural Gas(LNG) carrier with longer operating distance. The LNG carrier has some characteristics such as higher speed and building cost in comparison with other commercial ships.