It's helpful for extracting sea information to research into the random sea wave spectrum. In the paper, we describe a random sea state model and analyze three kinds of frequency spectrum function which are used to calculate wave amplitude in the model. Under different sea wind conditions (e.g.speed and direction of the wind), simulation and comparison are made to test the model. The result of the simulation shows that the model has a good reflection of hydrodynamic feature of the random sea state and that we can use it to get a nice spatial realization of the random sea state.