Yemen crisis is a political and security one, in which besides domestic actors, regional and transregional actors also play some various roles in this process, based on their own national strategies and interests. Therefore, recognizing effective actors in the conflict, their actions and preferences is the most important factor to determining and finding some ways to settle the conflict. The question is, what will be the future of the Yemeni crisis? Graph model analysis indicated that Saudi Arabia and Ansar Allah will accept ceasefire and negotiate, while the war may also be continued, but it will not be the most likely effect and if UN Security Council has a more active role in establishing a ceasefire and creating a peaceful state, the actors for this conflict can reach a political and peaceful solution to settle the conflict.So, the purpose of this article is to show by descriptive-analytical method that by modeling conflicts and using graph model, constructive solutions can be discovered for them and the state of equilibrium in crisis can be suggested to its actors.