The picture of Cuba-missile crisis in October, 1962 is briefly reviewed in this study. By considering the effects of factors including war preparation, blockade and diplomatic negotiation, this research aims to find the solutions and analyze the comparisons of different kinds of strategies for the Cuba-missile crisis based on the viewpoint of USA. By means of model hypothesis, model development, solution and discussion the optimal strategy for solving the Cuba-missile crisis is “blockade first and then diplomatic negotiation”. Other strategies such as blockade only without diplomatic negotiation, diplomatic negotiation only without blockade, or direct air-raid are not proper. Relaxation of some hypothesis or employments of other theoretical approaches in order to study in more details are suggested in the future study.