The strategy of coping is the most important in successful resolution of the conflict. It was studied the influence of cognitive dissonance upon the selection of strategy copying, interrelation and its comprehension. Selection of strategy coping is investigated on low, high and medium levels of strength of conflicts. The results showed that the index of strategy solution has a great influence upon formation of priority style of strategy coping. Upon influence of cognitive dissonance, the strategy coping is basically changed by individuals, to which social assistance is rendered, and have the strategy of avoiding the poor conflicts. Also it is clearly manifested, that the direction of strategy changes is the problem solution by direct ways. Investigation of strategy comprehension showed, that individuals, who have powerful tendency of problem resolution, comprehend the strategy coping by direct ways.