The rolling response of ship with water on deck in random beam wave was numerically simulated.The random rolling equation of ship was established considering random beam wave excitation and heeling moment caused by the trapped water on deck.The formula for calculating quality of water on deck was derived based on Bernoulli equation.Taking a trawl ship as an examplet,he rolling responses of ship in different wave heights were calculated and the effect of trapped water on deck to ship capsizing was investigated.It is found thatt,he rolling process of ship has two roll centers when considering the water accumulated on the factory deck,and the random jumping from one roll center to another occurs.When the water on the trawl deck and the water on the factory deck are considered sepa-ratelyt,he ship rolls without capsizing even under high wave excitation.When the water on the trawl deck and the water on the factory deck are considered simultaneouslyt,he water accumulated on the trawl deck increases suddenly in the process of rolling and ship capsizes accordingly.