A concept «Personality mobility» is considered in the light of pictures of arbitrary management conduct and activity of a man. The analysis of psychological pedagogical literature is conducted. Concept «co-ordination», «adroitness», «arbitrary management», «personality mobility» very near on the rich in content essence. A concept «Personality mobility» is more wide and more precisely represents the capacity of man for conscious, intentional motive activity. Exactly this concept is more clear and acceptable to description of character and essence of management motive activity. Consciousness and premeditation is considered the basic signs of arbitrary activity.