Objective: The purpose of this study was to investigate the influence of perceived supervisor's servant leadership and teacher self-efficacy for positive teacher-child relationships on work engagement using the path model. Methods: The subjects were 210 teachers working at childcare centers in Daegu and Gyeongbuk Province. Questionnaires were used to investigate perceived supervisor's servant leadership, teacher self-efficacy for positive teacher-child relationships, and work engagement. The collected data were analyzed by Structural Equation Modeling(SEM), Bootstrapping, Pearson Correlation, AMOS 20.0, and SPSS 21.0. Results: First, supervisor's servant leadership had a positive influence on teacher self-efficacy for positive teacher-child relationships. Second, teacher self-efficacy for positive teacher-child relationships had a positive influence on work engagement. Third, supervisor's servant leadership had a positive influence on teacher's work engagement. Fourth, supervisor's servant leadership had an indirec effect on teacher's work engagement by teacher self-efficacy for positive teacher-child relationships. Conclusion/Implications: The results mean teacher self-efficacy for positive teacher-child relationships had more influence on teacher's work engagement. Therefore, it is more useful to promote teacher self-efficacy for positive teacher-child relationships in order to strengthen teacher's work engagement.