Moored ship motions due to long period waves become the serious problem, those phenomenon are happened in harbors which faces the open sea. Container terminals have been built in harbors at inside bay by now, however, some container terminals are planned and built in a harbor which faces the open sea area because of container carriers of larger sizes. Container carriers have more serious limit values of cargo handling than bulk carriers, tankers, etc. In this study, firstly, we research about the operation situation of container terminals which are working now and operational plans of new container terminals that which faces the open sea. Secondly, we examine about the design of mooring equipment of container terminals by using numerical simulations of moored ship motions considering long period waves, swells and winds. At last, we consider about the facility design of container terminals which faces open sea in the future.