The purpose of this study is to examine the influence of elementary school student's perceived father's trait on self-regulating skills and peer relationship skills as well as the influence of father's trait according to gender of children on self-regulation skills and peer relationship skills. The summary of main results of this is as follows: It can be seen that by diminishing time-bomb and fatherless and enhancing compassionate mentor among sub-factors of father's trait as perceived by children, self-regulation skills and peer relationship skills of children could be improved. And it was understood that in the influence of father's trait as perceived by children on self-regulation skills and peer relationship skills, there is a need to consider gender difference of male and female children.