When the time of re-employment comes, the unemployed would negotiate with the enterprise for the problem of wage. In fact, this is a bargaining process. With the help of Nash Equilibrium, we managed to depict the behavior of negotiating between the worker and the enterprise when the benefit of unemployment exits. The conclusion we drew is that the benefit of unemployment will enhance the jobless' ability of bargaining and it will reduce their degree of striving for jobs as well. If there is enough benefit, the negotiation may be terminated ahead of time. On the contrary, a low-level benefit may lead to low-level wages in every stage; as a result of the dissymmetrical information, the enterprise may demand a lower wage to the worker by their advantage of information. Theoretically speaking, there must be an optimum unemployment insurance level.