This study had purpose to investigate the differ of socio-demographic variables of attachment with father by child recognized and to analysis correlation attachment. And this study to investigate attachment with father to effect child\'s self-concept and anxiety. This study had participant 719 elementary students in Seoul and Kyeongki-Do. The summary result were as follows: First, this study found that the significant differ to socio-demographic variables of attachment with father by child\'s gender, child\'s grade, father\'s academy attainment, and family\'s income level. Second, attachment with father, child\'s self-concept and child\'s anxiety were to show correlations. And attachment with father effects positive influence to child\'s self concept and some subscale effects negative influence to child\'s anxiety. This study results were to suggestive that secure attachment with father impacts positive self-concept of child\'s and to get stable emotion, so to reduce child\'s anxiety.