Good father’s personality and positive father-child relationship can benefit the socialdevelopment of children. Using questionnaires, the author investigated 176 children and their fathers intwo kindergartens in Zhengzhou. It founded that the social development of 4 to 7 years old children isgood, which have significant differences in the gender of child; The personality trait of father,fatherchildrelationship and social development of children show significant correlation in each other; Fatherchildrelationship can be used as partial intermediate variable between the personality trait of fatherand the social development of children, and they have good predicting effect on the social developmentof children. Father should attach importance to the improvement and development of self, to establishfriendly relationship with children; kindergarten and the society should strengthen the cultivation offather’s education ability.