The processes of globalization led to the fact that the world markets began to create new business forms actively, one of which is a strategic alliance. The conditions of the strategic alliances functioning uncertainty associated with a complex system of management and organization, conflicts arising from the work dissatisfaction and high uncertainty of possible outcomes. Conflicts may lead to the dissolution of the alliance at any stage of its formation and development. The influence of conflict can be minimized by choosing the most stable forms of corporations' interaction.Objective: to develop and substantiate models which allow managing conflicts of strategic alliances on conditions of uncertainty of the current globalization state stage.The result of this study is to construct two basic models of conflict management as a factor of the strategic alliances' stability: the state model allows identifying and eliminating the causes of the dissolution of strategic alliances in the conflict environment and forecasting model of variant forms of the corporations' interaction, leading to a stable development. For the formation and stability of the models a systematic approach is used as well as factor analysis and methods of the decisions' making. To control the conflicts, is to control the stability of strategic alliances: to predict the result of the activities, plan the development, to eliminate the problem quickly. The models, formed within the work allow predicting the result of the strategic alliances' activities: a stable development, consolidation or merger, dissolution.